{"text_format":"1","workbook":"xlsx","n_sheets":13,"sheets":["Intro","help","Names","Data","Plot","MonteCarlo","Integrator","digitize","graphics","Section","vectors","SlideRule","DXF"],"not_rendered":{"charts":8,"images":12,"macros":1,"external_links":0,"defined_names":19,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Intro","index":0,"n_rows":208,"n_cols":18,"rows_kept":208,"cut":false,"hidden":false,"merged":[[3,1,3,9],[18,8,18,10],[19,8,19,10],[18,6,18,7],[19,6,19,7],[200,4,200,5],[200,6,200,8],[202,4,202,5],[202,6,202,8],[203,4,203,5],[203,6,203,8],[204,4,204,5],[204,6,204,8],[208,4,208,5],[208,6,208,8],[205,4,205,5],[205,6,205,8],[206,4,206,5],[206,6,206,8],[207,4,207,5],[207,6,207,8]]}
["FreeStyle WorkBook",null,null,null,null,null,null,"VVES"]
["Owner@AnalysisChamp.com",null,null,null,null,null,null,"2017-02-22"]
[null,"File:",null,{"$f":"CELL(\"filename\")","v":"C:\\Users\\Owner\\Desktop\\[FreeStyle.xlsm]Intro"}]
[null,"This workbook contains functions for complex unit conversion, air property calculations, 3-d coordinate transforms and interpolation. "]
[]
[null,"Examples of Functions"]
[null,"This workbook contains numerous functions that perform useful calculations.  "]
[null,"The cells with red text can be changed.  The cells with blue text contain formulas."]
[null,"These functions are inserted into cells and formula using the >Insert >Function >User Defined menu commands."]
[]
[]
[null,null,null,null,"This unique workbook has been prepared for you by Mike Van Voorhis  "]
[null,null,null,null,"for calculations and education.  It is fully capable and provided free of cost.  "]
[null,null,null,null,"Please reply with questions or comments.  Thanks!"]
[]
[]
[]
[null,null,null,null,null,"FreeStyle Unit Converter:"]
[null,null,null,null,null,"Value=",2.2000000000000002,null,"hzr",null,null,{"$f":"VLOOKUP(ROUND(UCchkval(I19),8)+0.00000001,Names!$L$1140:$M$1193,2)","v":"1/time"}]
[null,null,null,null,null,"New Value=",{"$f":"cvval(G19,I19,I20)","v":2.2000000000000002},null,"cycle/s",null,null,{"$f":"VLOOKUP(ROUND(UCchkval(I20),8)+0.00000001,Names!$L$1140:$M$1193,2)","v":"1/time"}]
[]
[null,null,null,null,null,null,"User input is RED"]
[null,null,null,null,null,null,"See the \"Names\" worksheet tab below for a list of unit"]
[null,null,null,null,null,null,"names.  This list can be searched using Excel filter and data"]
[null,null,null,null,null,null,"\"find\" capabilities."]
[]
[null,null,null,null,null,"See Also: ","AnalysisChamp.com Online Expression Evaluator"]
[]
[]
[]
[null,"The worksheet functions use protected macros.  Users can create worksheets with macro capability by using this worksheet with separate worksheets that contain other macros."]
[null,"You can call functions from this spreadsheet in your own separate spreadsheets.  This allows you to have your own macros and unique workbooks."]
[]
[null,null,"Unit Converter Functions:"]
[null,null,"These functions allow calculations of any parameter at any proper unit combination. "]
[null,null,null,"=CVVal(input value, input unit string, output unit string) calculates the parameter value for the given value and units expressed as the output units. "]
[null,null,null,null,"input value =",40,"(kg*m/s^2)","(input parameter value and units)"]
[null,null,null,null,"output value =",{"$f":"cvval(F37,G37,G38)","v":40},"(n)","(output parameter value expressed in proper output units)"]
[null,null,null,"=CVBaseUnit(unit string) expresses the given units as SI units. "]
[null,null,null,null,"input units =","(lbf/in^2)","(input unit string)"]
[null,null,null,null,"output base units =",{"$f":"CVBaseUnit(F40)","v":"(((KG*M)/S^2)/(M)^2)"}]
[null,null,null,"=CVBaseVal(value,unit string) evaluates the given parameter into SI units. "]
[null,null,null,null,"input parameter =",100,"(ft*lbf)","(input parameter value and units)"]
[null,null,null,null,"output base parameter =",{"$f":"CVBaseVal(F43,G43)","v":135.58206786670499},{"$f":"CVBaseUnit(G43)","v":"((M)*((KG*M)/S^2))"}]
[null,null,null,"=UCBaseData(record,field) returns the specific field and record from the unit converter bases factors database.  Field 1 is the name, field 2 is the check value and field 3 is the description. "]
[null,null,null,null,null,"field"]
[null,null,null,null,"record",1,2,3]
[null,null,null,null,9,{"$f":"UCbaseData($E$48,F$47)","v":"S"},{"$f":"UCbaseData($E$48,G$47)","v":"31"},{"$f":"UCbaseData($E$48,H$47)","v":"time"}]
[null,null,null,"=UCBaseIndex(name) returns the specific record number from the unit converter base factors database for a given name.  "]
[null,null,null,null,"name (field 1)","record"]
[null,null,null,null,"s",{"$f":"UCbaseIndex(E51)","v":9}]
[null,null,null,"=UCChkval(Unit string) returns a unique check value for a unit text string based on its base units.  Proper unit conversions yield equal check values.  "]
[null,null,null,null,"String","Value"]
[null,null,null,null,"(kg*m)/(s^2)",{"$f":"UCchkval(E54)","v":0.19458896982310095}]
[null,null,null,"=UCFactorData(record,field) returns the specific field and record from the unit converter factors database.  "]
[null,null,null,null,"Field 1 = name, field 2 = description, field 3 = factor, field 4 = bias, field 5 = base unit, field 6 = comment, field 7 = common mark"]
[null,null,null,null,"Special user defined units (named usera and userb) can be used.  Currency is based on 1 us dollar = .5 British pound = .65 Euro = .01 Yen"]
[null,null,null,null,null,"field"]
[null,null,null,null,"record",1,2,3,4,5,6,7]
[null,null,null,null,45,{"$f":"UCFactorData($E60,F$59)","v":"DEGC"},{"$f":"UCFactorData($E60,G$59)","v":"degrees Celsius"},"1","-273.15","(DEGK)","temperature","x"]
[null,null,null,"=UCFactorIndex(name) returns the specific record number from the unit converter factors database for a given name.  "]
[null,null,null,null,"name (field 1)","record"]
[null,null,null,null,"lbf",{"$f":"UCFactorIndex(E63)","v":248}]
[null,null,null,"=UCFactorDataSearch(start, search string, field) returns the next record number from the given start record of the unit converter factors database for a given text string within the given field.  "]
[null,null,null,null,null,"field"]
[null,null,null,null,"search string",6]
[null,null,null,null,"temp",{"$f":"UCFactorDataSearch(1,$E67,F$66)","v":45}]
[null,null,null,null,{"$f":"\"next \"&E67","v":"next temp"},{"$f":"UCFactorDataSearch(F67+1,$E$67,F$66)","v":133}]
[null,null,null,null,{"$f":"\"next \"&E67","v":"next temp"},{"$f":"UCFactorDataSearch(F68+1,$E$67,F$66)","v":218}]
[]
[null,null,"Air and Standard Atmosphere Functions:"]
[null,null,"These functions allow calculations of atmospheric properties at an input altitude given in meters "]
[null,null,null,"=AirPropTemp(altitude) calculates the temperature of air at the given altitude for the \"US Standard Atmosphere\" "]
[null,null,null,null,"altitude =",0,"(m)","(meter)"]
[null,null,null,null,null,{"$f":"AirPropTemp(F74)","v":288.16666666666691},"(DEGK)","(degrees Kelvin)"]
[null,null,null,"=AirPropPress(altitude) calculates the absolute pressure of air at the given altitude for the \"US Standard Atmosphere\" "]
[null,null,null,null,null,{"$f":"AirPropPress(F74)","v":101325.35317792799},"(pa)","(Pascal, Newton/Meter^2)"]
[null,null,null,"=AirPropDens(altitude) calculates the mass density of air at the given altitude for the \"US Standard Atmosphere\" "]
[null,null,null,null,null,{"$f":"AirPropDens(F74)","v":1.2179667725497474},"(kg/m^3)","(kilogram/meter^3)"]
[null,null,null,"=AirPropSound(altitude) calculates the speed of sound in air at the given altitude using the \"US Standard Atmosphere\" properties and ideal gas laws "]
[null,null,null,null,null,{"$f":"AirPropSound(F74)","v":341.27569810646412},"(m/s)","(meter/second)"]
[null,null,null,"=AirPropKV(altitude) calculates the kinematic viscosity of air at the given altitude using the \"US Standard Atmosphere\" properties and ideal gas laws"]
[null,null,null,null,null,{"$f":"AirPropKV(F74)","v":1.7879279277111443E-5},"(kg/(m*s))","(kilogram/(meter*second))"]
[null,null,null,"=AirPropDV(altitude) calculates the dynamic viscosity of air at the given altitude using the \"US Standard Atmosphere\" properties and ideal gas laws"]
[null,null,null,null,null,{"$f":"AirPropDV(F74)","v":1.4679611693907003E-5},"(m^2/s)","(meter^2/second)"]
[null,null,null,"=AirDensity(temperature,pressure) calculates the density of air at the given temperature and pressure using ideal gas laws."]
[null,null,null,null,"temperature =",{"$f":"CVBaseVal(70,\"degf\")","v":294.26111111111101},"(DEGK)","(degrees Kelvin)"]
[null,null,null,null,"pressure =",{"$f":"CVBaseVal(1,\"atm\")","v":101325},"(pa)","(Pascal, Newton/Meter^2)"]
[null,null,null,null,null,{"$f":"AirDensity(F87,F88)","v":1.1927372782027188},"(kg/m^3)","(kilogram/meter^3)"]
[null,null,null,"=Reynold(length,density,velocity,kinematic viscosity) calculates the Reynold's number of air at the given density, velocity, kinematic viscosity and length."]
[null,null,null,null,"length =",2,"(m)","(meter)"]
[null,null,null,null,"density =",{"$f":"F79","v":1.2179667725497474},{"$f":"G79","v":"(kg/m^3)"},"(kilogram/meter^3) - see above"]
[null,null,null,null,"velocity =",93.9,"(m/s)","(meter/second)"]
[null,null,null,null,"kinematic viscosity =",{"$f":"F83","v":1.7879279277111443E-5},{"$f":"G83","v":"(kg/(m*s))"},"(kilogram/(meter*second)) - see above"]
[null,null,null,null,null,{"$f":"Reynold(F91,F92,F93,F94)","v":12793253.930412157},"(item)","dimensionless, Re < 2000 is laminar, Re > 4000 is turbulent"]
[]
[null,null,"Vector Functions:"]
[null,null,"These functions allow calculations of vectors and coordinate transforms"]
[null,null,null,"=VFMabg(vector-dx-dy-dz) converts a vector expressed as [dx,dy,dz] into its [magnitude, A-xy, A-yz, A-zx] components.  "]
[null,null,null,null,"A vector is expressed by its dx, dy, dz coordinates and converted to magnitude, A-xy, A-yz and A-zx angles:",null,null,null,null,null,null,null,null,null,null,{"$f":"180/PI()*P102","v":90.000000000000199},{"$f":"180/PI()*Q102","v":0},{"$f":"180/PI()*R102","v":269.99999692953122}]
[null,null,null,null,null,"xi","yi","zi","xf","yf","zf","dx","dy","dz","Mag","A-xy","A-yz","A-zx"]
[null,null,null,null,"Vector =",0,0,0,0,1,0,{"$f":"ROUND(I102-F102,P108)","v":0},{"$f":"ROUND(J102-G102,P108)","v":1},{"$f":"ROUND(K102-H102,P108)","v":0},{"$f":"VFMabg(L102:N102)","v":1},1.5707963267949001,0,4.7123889267949002]
[null,null,null,"=VFxyz(vector-mag-Axy-Ayz-Azx) converts a vector expressed as [magnitude, A-xy, A-yz, A-zx] into its [dx,dy,dz] components.  "]
[null,null,null,null,"A vector is expressed by its magnitude, A-xy, A-yz and A-zx angles and converted to its dx, dy, dz coordinates:"]
[null,null,null,null,null,"Mag","A-xy","A-yz","A-zx","x0","y0","z0","dx","dy","dz","x","y","z"]
[null,null,null,null,"Vector =",1,1.5707963267949001,0,4.7123889267949002,0,0,0,{"$f":"VFxyz(F106:I106)","v":-3.4914833611093821E-15},1,-5.3589789678569841E-8,{"$f":"ROUND(J106+M106,P109)","v":0},{"$f":"ROUND(K106+N106,P109)","v":1},{"$f":"ROUND(L106+O106,P109)","v":0}]
[]
[null,null,null,null,"Dot Product =",{"$f":"ROUND((L102*M106)+(M102*N106)+(N102*O106),P108)","v":1},"=(L102*M106)+(M102*N106)+(N102*O106)",null,null,null,"http://en.wikipedia.org/wiki/Dot_product",null,null,null,"digits=",3]
[null,null,null,null,"Cross Product =",{"$f":"ROUND((M102*O106-N102*N106),P109)","v":0},{"$f":"ROUND((N102*M106-L102*O106),P109)","v":0},{"$f":"ROUND((L102*N106-M102*M106),P109)","v":0},null,null,"http://en.wikipedia.org/wiki/Cross_product",null,null,null,"digits=",3]
[]
[null,null,null,"=CXFxp(x0,y0,z0,a,b,c,ang,x,y,z) calculates the x' coordinate of x in a transformed system with origin at x0,y0,z0 that has been rotated along the a,b,c vector at angle ang.  "]
[null,null,null,"=CXFyp(x0,y0,z0,a,b,c,ang,x,y,z) calculates the y' coordinate of y in a transformed system with origin at x0,y0,z0 that has been rotated along the a,b,c vector at angle ang.  "]
[null,null,null,"=CXFzp(x0,y0,z0,a,b,c,ang,x,y,z) calculates the z' coordinate of z in a transformed system with origin at x0,y0,z0 that has been rotated along the a,b,c vector at angle ang.  "]
[null,null,null,null,"Coordinate transform from one 3-d system to another consists of x,y,z and x',y',z' when the x0,y0,z0 and a rotation axis defined by I,j,k,theta is given:"]
[null,null,null,null,null,null,"x0","y0","z0",null,null,"a","b","c","ang"]
[null,null,null,null,null,"Prime system Origin =",0,0,0,null,"Rotation Axis =",0,1,1,{"$f":"RADIANS(30)","v":0.52359877559829882}]
[null,null,null,null,null,null,"x","y","z"]
[null,null,null,null,null,"Point in x,y,z system=",0,0,0]
[null,null,null,null,null,null,"x'","y'","z'"]
[null,null,null,null,null,"Point in x', y', z' system =",{"$f":"CXFxp(G116,H116,I116,L116,M116,N116,O116,G118,H118,I118)","v":0},{"$f":"CXFyp(G116,H116,I116,L116,M116,N116,O116,G118,H118,I118)","v":0},{"$f":"CXFzp(G116,H116,I116,L116,M116,N116,O116,G118,H118,I118)","v":0}]
[null,null,null,"=CXFx(x0,y0,z0,a,b,c,ang,x',y',z') calculates the x coordinate of x' from a transformed system with origin at x0,y0,z0 that has been rotated along the a,b,c vector at angle ang.  "]
[null,null,null,"=CXFy(x0,y0,z0,a,b,c,ang,x',y',z') calculates the y coordinate of y' from a transformed system with origin at x0,y0,z0 that has been rotated along the a,b,c vector at angle ang.  "]
[null,null,null,"=CXFz(x0,y0,z0,a,b,c,ang,x',y',z') calculates the z coordinate of z' from a transformed system with origin at x0,y0,z0 that has been rotated along the a,b,c vector at angle ang.  "]
[null,null,null,null,"Coordinate transform from one 3-d system to another consists of x,y,z and x',y',z' when the x0,y0,z0 and a rotation axis defined by I,j,k,theta is given:"]
[null,null,null,null,null,null,"x","y","z"]
[null,null,null,null,null,"Point in x,y,z system=",{"$f":"CXFx(G116,H116,I116,L116,M116,N116,O116,G128,H128,I128)","v":0.86237262519380287},{"$f":"CXFy(G116,H116,I116,L116,M116,N116,O116,G128,H128,I128)","v":-0.40973953107893252},{"$f":"CXFz(G116,H116,I116,L116,M116,N116,O116,G128,H128,I128)","v":-0.29736725010761444}]
[null,null,null,null,null,null,"x'","y'","z'"]
[null,null,null,null,null,"Point in x', y', z' system =",0.70710700000000004,-0.70710678118654702,0]
[]
[null,null,"Interpolator Function:"]
[null,null,"This function calculates linear interpolated values"]
[null,null,null,"=INTP(DataInx,DataIny,x) calculates the y value for a given table of x y data at a given x' data point by linear interpolation."]
[null,null,null,null,null,"x",1,2,3,4,5,6]
[null,null,null,null,null,"y",1,10,100,1000,10000,100000]
[]
[null,null,null,null,null,"x' =",2.5]
[null,null,null,null,null,"y' =",{"$f":"Intp(G133:L133,G134:L134,G136)","v":55}]
[]
[null,null,null,"=INTP(DataInx,DataIny,x) calculates the y value for a given table of x y data at a given x' data point by linear interpolation."]
[null,null,null,null,null,"x","y"]
[null,null,null,null,null,1,1]
[null,null,null,null,null,2,10]
[null,null,null,null,null,3,100]
[null,null,null,null,null,4,1000]
[null,null,null,null,null,5,10000]
[null,null,null,null,null,6,100000]
[]
[null,null,null,null,null,"x'","y'"]
[null,null,null,null,null,2.5,{"$f":"Intp(F141:F146,G141:G146,F149)","v":55}]
[]
[null,null,"Section Functions:"]
[null,null,"These functions calculate area, centroid and moment of inertia for general sections such as:"]
[null,null,null,null,null,"x","y"]
[null,null,null,null,null,0,0]
[null,null,null,null,null,0,5]
[null,null,null,null,null,10,5]
[null,null,null,null,null,10,0]
[null,null,null,null,null,{"$f":"F154","v":0},{"$f":"G154","v":0}]
[null,null,null,"=Section_Area(xydata) calculates the area for a given section defined by x y data."]
[null,null,null,null,"Area =",{"$f":"Section_Area($F$154:$G$158)","v":50},{"$f":"B159&\"^2\"","v":"^2"},"=Section_Area($F$150:$G$154)"]
[null,null,null,"=Section_XBar(xydata) and =Section_YBar(xydata) calculates the centroid coordinates for a given section defined by x y data."]
[null,null,null,null,"xBar=",{"$f":"Section_XBar($F$154:$G$158)","v":5},{"$f":"B159","v":0},"=Section_XBar($F$150:$G$154)"]
[null,null,null,null,"yBar=",{"$f":"Section_YBar($F$154:$G$158)","v":2.5},{"$f":"C159","v":0},"=Section_YBar($F$150:$G$154)"]
[null,null,null,"=Section_IX(xydata) and =Section_IY(xydata) calculates the moment of inertia about the x and y axis for a "]
[null,null,null,null,"given section defined by x y data."]
[null,null,null,null,"Ix=",{"$f":"Section_IX($F$154:$G$158)","v":416.66666666666669},{"$f":"B159&\"^4\"","v":"^4"},"=Section_IX($F$150:$G$154)"]
[null,null,null,null,"Iy=",{"$f":"Section_IY($F$154:$G$158)","v":1666.6666666666667},{"$f":"C159&\"^4\"","v":"^4"},"=Section_IY($F$150:$G$154)"]
[null,null,null,"=Section_IXBar(xydata) and =Section_IXBar(xydata) calculates the moment of inertia about the centroid for a "]
[null,null,null,null,"given section defined by x y data."]
[null,null,null,null,"IxBar=",{"$f":"Section_IXBar($F$154:$G$158)","v":104.16666666666669},{"$f":"G166","v":"^4"},"=Section_IXBar($F$150:$G$154)"]
[null,null,null,null,"IyBar=",{"$f":"Section_IYBar($F$154:$G$158)","v":416.66666666666674},{"$f":"G167","v":"^4"},"=Section_IYBar($F$150:$G$154)"]
[null,null,null,"Note:  Polar moment of inertia is sum of IXBar and IYBar"]
[null,null,null,null,"JBar=",{"$f":"F170+F171","v":520.83333333333348},{"$f":"G171","v":"^4"},"=F166+F167"]
[]
[null,null,"Statistics Function:"]
[null,null,"This function calculates the factorial of a given integer such as:"]
[null,null,null,"=FACTORIAL(integer) calculates the factorial  of \"integer\""]
[null,null,null,null,"integer =",6,"(item)","(item)"]
[null,null,null,null,null,{"$f":"FACTORIAL(F178)","v":720},{"$f":"G178","v":"(item)"},{"$f":"H178","v":"(item)"}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,"IE EXPLORER TEST","IE EXPLORER TEST"," (case sensitive)"," (case sensitive)"," (case sensitive)"]
[]
[null,null,null,null,"myPageTitle As String ","Const myPageTitle As String ","Wikipedia","Wikipedia","Wikipedia"]
[null,null,null,null,"myPageURL As String ","Const myPageURL As String ","http://en.wikipedia.org/wiki/Main_Page","http://en.wikipedia.org/wiki/Main_Page","http://en.wikipedia.org/wiki/Main_Page"]
[null,null,null,null,"mySearchForm As String ","Const mySearchForm As String ","searchform","searchform","searchform"]
[null,null,null,null,"mySearchInput As String ","Const mySearchInput As String ","searchInput","searchInput","searchInput"]
[null,null,null,null,"mySearchTerm As String ","Const mySearchTerm As String ","Document Object Model","Document Object Model","Document Object Model"]
[null,null,null,null,"myButton As String ","Const myButton As String ","go","go","go"]

{"sheet":"help","index":1,"n_rows":429,"n_cols":7,"rows_kept":429,"cut":false,"hidden":false,"merged":[]}
[{"$f":"Intro!A1","v":"FreeStyle WorkBook"}]
[{"$f":"Intro!A2","v":"Owner@AnalysisChamp.com"},null,null,null,{"$f":"Intro!H2","v":"2017-02-22"}]
[]
[null,"Calculation Notes"]
[null,"  This collection of worksheet calculations demonstrates use of the FreeStyle functions in order to allow "]
[null,"you to solve problems accurately. The structure of worksheet calculations consists of six columns of data "]
[null,"for each parameter. The \"Parameter\", Value\", \"Unit\", and \"Comment\" columns contain information "]
[null,"about each.  "]
[]
[null,"   Black vs red cells designate formula and user input cells respectively.  The data in red cells "]
[null,"can be changed without affecting the worksheet calculations.  Data in black cells needs to remain unchanged "]
[null,"as it affects the calculation method for each example.  Intermediate calculations (such as those of temperature "]
[null,"and the universal gas constant, RGC) must remain as listed to properly define these quantities in the "]
[null,"calculations. "]
[]
[null,"   These example calculations may be re-used in your own studies."]
[null,"The red unit strings (input or calculated results) may be changed for your own calculations "]
[null,"(provided the units are still proper) with resulting values calculated correctly."]
[]
[null,"   All examples may be evaluated using the Excel TOOLS > GOAL SEEK function to calculate parameters."]
[null,"This action is taken when the unknown parameter is set up as an \"input value\" in the calculation worksheet."]
[null,"To calculate the desired parameter, set up the Goal Seeker to iterate on the unknown parameter cell until the "]
[null,"known parameter is established."]
[]
[null,"   The other two columns, the \"BaseVal\" and \"BaseUnit\" columns contain the baseline "]
[null,"parameters for calculation formulas.  Free-form unit handling is accomplished by performing calculations "]
[null,"only on the parameter values when expressed in base units. The FreeStyle workbook provides functions that enable "]
[null,"easy conversion into these units.  The actual calculation formula exist in these columns, both for the values "]
[null,"and for the text stings defining the resulting value.  This can be seen by inspection of the \"BaseVal\" and "]
[null,"\"BaseUnit\" cells. "]
[]
[null,"   The calculations provided on this worksheet can be searched using the Excel "]
[null,"EDIT > FIND function.  The examples may be organized using the Excel DATA > GROUP AND OUTLINE functions"]
[null,"to show or hide information."]
[]
[null,"   The workbook contains several macros that enable worksheet calculation formula to be entered for unit checks."]
[null,"The \"CellFormulaLeft()\", \"CellFormulaRight()\", \"CellFormulaUp()\" and \"CellFormulaDown()\" macros will take the "]
[null,"formula in the active cell and paste a printable text version in the ajacent cell left, right, above or below respectively."]
[]
[null,"   The \"CVBaseUnitFormula()\" macro will use the formula in the active cell to create a new formula that checks to"]
[null,"ensure that the units are properly combined for the \"value\" field.  Specifically, the \"BaseUnit\" column formula"]
[null," is created to compare the calculated value with the \"Unit\" column string to ensure that the formula are proper."]
[null,"The macro will place the formula in the cell ajacent to the right of the cell from which it is executed."]
[]
[null,"Example 01 - Temperature Calculations"]
[null,"  What is the absolute temperature, degrees Kelvin, at 32 degrees farenheight (F)?"]
[]
[null,"  Lookup the following unit names on the \"Names\" worksheet:"]
[null,"temperature, Kelvin = (degK)"]
[null,"temperature, Farenheight = (degF) "]
[]
[null,"  Enter the following into the worksheet:"]
[]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit"]
[null,"Temperature =",32,"degF","input value",{"$f":"CVBaseVal(C55,D55)","v":273.14999999999998},{"$f":"CVBaseUnit(D55)","v":"(DEGK)"}]
[null,"Temperature =",{"$f":"cvval(F56,G56,D56)","v":273.14999999999998},"degK","calculated value",{"$f":"F55","v":273.14999999999998},{"$f":"G55","v":"(DEGK)"}]
[]
[null,"Notes: The factors can be found by filtering the list on \"Type\" containing text \"temp\".  "]
[null,"The factor list is on the [Names] worksheet.  "]
[]
[]
[null,"Example 02 - Length Conversions"]
[null,"  What is the length, in feet, of 200 rods?"]
[]
[null,"  Lookup the following unit names on the \"Names\" worksheet:"]
[null,"length, feet = (FT)"]
[null,"Length, rods = (ROD) "]
[]
[null,"  Enter the following into the worksheet:"]
[]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit"]
[null,"Length =",200,"ROD","input value",{"$f":"CVBaseVal(C72,D72)","v":1005.84},{"$f":"CVBaseUnit(D72)","v":"(M)"}]
[null,"Length =",{"$f":"cvval(F73,G73,D73)","v":3299.9933999999998},"FT","calculated value",{"$f":"F72","v":1005.84},{"$f":"G72","v":"(M)"}]
[]
[null,"Notes: The factor names can be found by filtering the list on \"Description\" containing text \"rod\" and \"feet\".  "]
[null,"The factor list is on the [Names] worksheet.  The filter is turned off by pressing the [Show All] button."]
[]
[]
[null,"Example 03 - Speed, Torque and Power Calculations"]
[null,"  What is the torque, in pound-feet, of a shaft driving a 10 horsepower load at 3600 revolutions per minute?"]
[null,"Power = torque * speed  so torque = power / speed"]
[]
[null,"  Lookup the following unit names on the \"Names\" worksheet:"]
[null,"power = horsepower (HP)"]
[null,"speed = revolutions per minute = (RPM) "]
[null,"torque = pounds-force * feet (LBF*FT)"]
[]
[null,"  Enter the following into the worksheet:"]
[]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit"]
[null,"Power =",10,"HP","input value",{"$f":"CVBaseVal(C91,D91)","v":7456.9987199999996},{"$f":"CVBaseUnit(D91)","v":"((KG*M^2)/S^3)"}]
[null,"Speed =",3600,"RPM","input value",{"$f":"CVBaseVal(C92,D92)","v":376.991118430776},{"$f":"CVBaseUnit(D92)","v":"(M/M/S)"}]
[null,"Torque =",{"$f":"cvval(F93,G93,D93)","v":14.589173745365001},"FT*LBF","calculated value",{"$f":"F91/F92","v":19.780303448632228},{"$f":"\"(\"&G91&\")/(\"&G92&\")\"","v":"(((KG*M^2)/S^3))/((M/M/S))"}]
[]
[null,"Notes:  The torque is a complex unit consisting of the product of force (lbf) and moment arm (ft).  "]
[null,"There is no \"lbf*ft\" unit factor in the database.  The converter calculates it from the base units, (lbf) and (ft).  "]
[null,"A factor for rotational speed, (rpm), is included in the table for convenience.  It could have been entered "]
[null,"as \"rev/min\" since these base factors are in the table.  The calculation formula is in the \"BaseVal\""]
[null,"column.  A formula using the unit strings is in the \"BaseUnit\" column."]
[]
[]
[null,"Example 04 - Gas Law Calculations"]
[null,"  What is the volume per mole of an ideal gas (like air) at 0 degC (273.15 degK) and atmoshperic pressure?"]
[]
[null,"p*V = n*R*T so V/n = R*T/p"]
[]
[null,"  Lookup the following unit names on the \"Names\" worksheet:"]
[null,"R = universal gas constant (RGC)"]
[null,"T = temperature = 273.15 (degK) "]
[null,"p = 1 Atmoshpere (ATM)"]
[null,"v = liters (L) and "]
[null,"n = moles (MOL)"]
[]
[null,"  Enter the following into the worksheet:"]
[]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit"]
[null,"Universal Gas Constant =",1,"RGC","input value",{"$f":"CVBaseVal(C117,D117)","v":8.3144100000000005},{"$f":"CVBaseUnit(D117)","v":"((((KG)*(M^2))/(S^2))/(MOL*DEGK))"}]
[null,"Temperature =",0,"degC","input value",{"$f":"CVBaseVal(C118,D118)","v":273.14999999999998},{"$f":"CVBaseUnit(D118)","v":"(DEGK)"}]
[null,"Temperature =",{"$f":"cvval(F119,G119,D119)","v":273.14999999999998},"degK","calculated value",{"$f":"F118","v":273.14999999999998},{"$f":"G118","v":"(DEGK)"}]
[null,"Pressure =",1,"ATM","input value",{"$f":"CVBaseVal(C120,D120)","v":101325},{"$f":"CVBaseUnit(D120)","v":"(KG/(M*S^2))"}]
[null,"Specific Volume =",{"$f":"cvval(F121,G121,D121)","v":22.413827698001501},"L/MOL","calculated value",{"$f":"F117*F119/F120","v":2.2413827698001477E-2},{"$f":"\"(\"&G117&\")*(\"&G119&\")/(\"&G120&\")\"","v":"(((((KG)*(M^2))/(S^2))/(MOL*DEGK)))*((DEGK))/((KG/(M*S^2)))"}]
[]
[null,"Notes:  Temperatures for gas law calculations must be absolute.  Celsius (degC) and Farenheight (degF) "]
[null,"will give erroneous results.  Many physical, chemical and engineering calculations require absolute temperatures."]
[]
[]
[null,"Example 05 - Air Density Calculations"]
[null,"  What is the density of air, in pounds per cubic foot, at 15 degC (288 degK) and atmospheric pressure of 30.10 inches-mercury?"]
[]
[null,"p*V = n*R*T and mass = moles * grams per mole (gpm) so n/V = p/(R*T) and "]
[null,"density = n*gpm/V = p * gpm / (R*T)"]
[]
[null,"  Lookup the following unit names on the \"Names\" worksheet:"]
[null,"R = universal gas constant (RGC)"]
[null,"T = temperature = 288 (degK) "]
[null,"p = 30.1 in-hg (ATM)"]
[null,"gpm = 28.8 (GM/MOL)"]
[null," "]
[null,"  Enter the following into the worksheet:"]
[]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit"]
[null,"Universal Gas Constant =",1,"RGC","constant",{"$f":"CVBaseVal(C142,D142)","v":8.3144100000000005},{"$f":"CVBaseUnit(D142)","v":"((((KG)*(M^2))/(S^2))/(MOL*DEGK))"}]
[null,"Temperature =",288,"degK","input value",{"$f":"CVBaseVal(C143,D143)","v":288},{"$f":"CVBaseUnit(D143)","v":"(DEGK)"}]
[null,"Temperature =",{"$f":"cvval(F144,G144,D144)","v":288},"degK","calculated value",{"$f":"F143","v":288},{"$f":"G143","v":"(DEGK)"}]
[null,"Pressure =",30.1,"IN[HG]","input value",{"$f":"CVBaseVal(C145,D145)","v":101643.185},{"$f":"CVBaseUnit(D145)","v":"(KG/(M*S^2))"}]
[null,"Molecular Weight =",28.8,"GM/MOL","input value",{"$f":"CVBaseVal(C146,D146)","v":2.8799999999999999E-2},{"$f":"CVBaseUnit(D146)","v":"(KG)/(MOL)"}]
[null,"Density =",{"$f":"cvval(F147,G147,D147)","v":7.6318281374463406E-2},"LBM/FT^3","calculated value",{"$f":"F145*F146/(F142*F144)","v":1.2224942599655297},{"$f":"\"(\"&G145&\")*(\"&G146&\")/((\"&G142&\")*(\"&G144&\"))\"","v":"((KG/(M*S^2)))*((KG)/(MOL))/((((((KG)*(M^2))/(S^2))/(MOL*DEGK)))*((DEGK)))"}]
[]
[]
[null,"Example 06 - Propeller Tip Speed Calculations"]
[null,"  What is the tip speed, mach at standard sea level atmosphere, of a 72 inch diameter propeller spinning at 2400 RPM?"]
[]
[null,"V = diameter / 2  * rotational speed"]
[]
[null,"  Lookup the following unit names on the \"Names\" worksheet:"]
[null,"V = velocity = (MACH)"]
[null,"diameter = inch (IN)"]
[null,"rotational speed = revolutions per minute (RPM) "]
[]
[null,"  Enter the following into the worksheet:"]
[]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit"]
[null,"Diameter =",72,"IN","input value",{"$f":"CVBaseVal(C163,D163)","v":1.8288},{"$f":"CVBaseUnit(D163)","v":"(M)"}]
[null,"Rotational Speed =",2400,"RPM","input value",{"$f":"CVBaseVal(C164,D164)","v":251.32741228718399},{"$f":"CVBaseUnit(D164)","v":"(M/M/S)"}]
[null,"Tip Speed =",{"$f":"cvval(F165,G165,D165)","v":0.67534031905829806},"MACH[S]","calculated value",{"$f":"F163/2*F164","v":229.81378579540103},{"$f":"\"(\"&G163&\")*(\"&G164&\")\"","v":"((M))*((M/M/S))"}]
[]
[]
[null,"Example 07 - Hydraulic Power Calculations"]
[null,"  What is the hydraulic pressure of a 200 horsepower system with 400 gallons per minute flow rate?"]
[]
[null,"power = pressure * flow rate so pressure = power / flow rate"]
[]
[null,"  Lookup the following unit names on the \"Names\" worksheet:"]
[null,"power = horsepower = (HP)"]
[null,"flow rate = gallons per minute (GAL/MIN)"]
[null,"pressure = psi (PSI)"]
[]
[null,"  Enter the following into the worksheet:"]
[]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit"]
[null,"Power =",200,"HP","input value",{"$f":"CVBaseVal(C181,D181)","v":149139.97440000001},{"$f":"CVBaseUnit(D181)","v":"((KG*M^2)/S^3)"}]
[null,"Flow Rate =",400,"GAL/MIN","input value",{"$f":"CVBaseVal(C182,D182)","v":2.523607856E-2},{"$f":"CVBaseUnit(D182)","v":"(M^3)/(S)"}]
[null,"Pressure =",{"$f":"cvval(F183,G183,D183)","v":857.14285764394594},"PSI","calculated value",{"$f":"F181/F182","v":5909791.9688834576},{"$f":"\"(\"&G181&\")/(\"&G182&\")\"","v":"(((KG*M^2)/S^3))/((M^3)/(S))"}]
[]
[null,"Notes:  The pressure could also have been expressed as (LBF/IN^2).  Note that LBF (pound force) and LBM (pound mass) are "]
[null,"explicitly described to avoid confusion.  They will not evaluate properly if mixed up.  Pressure factors for eighteen other units, "]
[null,"such as feet-head, inches(water), and  inches(mercury) are included in the factor table."]
[]
[]
[null,"Example 08 - Dynamic Pressure Calculation"]
[null,"  What is the dynamic pressure, in pascals, of an air-stream at 150 knots?  Air density is .0775 pounds per cubic foot."]
[]
[null,"q = 1/2 * rho * V^2"]
[]
[null,"  Lookup the following unit names on the \"Names\" worksheet:"]
[null,"rho = air density = .0775 (LBM/FT^3)"]
[null,"V = 150 knot (KNOT)"]
[null,"q = dynamic pressure = Pascal (PA)"]
[]
[null,"  Enter the following into the worksheet:"]
[]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit"]
[null,"Gas Density =",7.7499999999999999E-2,"LBM/FT^3","input value",{"$f":"CVBaseVal(C203,D203)","v":1.2414234629113401},{"$f":"CVBaseUnit(D203)","v":"(KG)/(M)^3"}]
[null,"Velocity =",150,"KNOT","input value",{"$f":"CVBaseVal(C204,D204)","v":77.166666666666003},{"$f":"CVBaseUnit(D204)","v":"(M/S)"}]
[null,"Dynamic Pressure =",{"$f":"cvval(F205,G205,D205)","v":3696.1486989005102},"PA","calculated value",{"$f":"1/2*F203*F204^2","v":3696.148698900507},{"$f":"\"(\"&G203&\")*(\"&G204&\")^2\"","v":"((KG)/(M)^3)*((M/S))^2"}]
[]
[null,"Notes:  Knot is a speed unit derived from base units for length and time.  It can be manipulated by raising "]
[null,"to a power with proper conversion factor calculation.  "]
[]
[]
[null,"Example 09 - Shaft Load with Sheave"]
[null,"  What is the side load on a shaft, in Newtons, with a 200 cm diameter sheave if it carries 30 kW power at 55 Hz? "]
[]
[null,"F = p/(n*r) "]
[]
[null,"  Lookup the following unit names on the \"Names\" worksheet:"]
[null,"F = force = (N)"]
[null,"p = kilowatt (KILO*W)"]
[null,"n = shaft speed = Hertz (cycles per second) (HZ)"]
[null,"r = sheave radius = 1/2 * 200 cm (CM)"]
[]
[null,"  Enter the following into the worksheet:"]
[]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit"]
[null,"Power =",30,"KW","input value",{"$f":"CVBaseVal(C225,D225)","v":30000},{"$f":"CVBaseUnit(D225)","v":"((KG*M^2)/S^3)"}]
[null,"Shaft Speed =",55,"HZ","input value",{"$f":"CVBaseVal(C226,D226)","v":55},{"$f":"CVBaseUnit(D226)","v":"(S^-1)"}]
[null,"Diameter =",200,"CM","input value",{"$f":"CVBaseVal(C227,D227)","v":2},{"$f":"CVBaseUnit(D227)","v":"(M)"}]
[null,"Side Load =",{"$f":"cvval(F228,G228,D228)","v":545.45454545454595},"N","calculated value",{"$f":"F225/(F226*F227/2)","v":545.4545454545455},{"$f":"\"(\"&G225&\")/((\"&G226&\")*(\"&G227&\"))\"","v":"(((KG*M^2)/S^3))/(((S^-1))*((M)))"}]
[]
[null,"Notes:  Kilo * W was used to designate kilowatts to demonstrate the multiplation factors included in the "]
[null,"factor table.  These multipliers include fractions and do not affect the base units, only the multiplation "]
[null,"factors on them.  "]
[]
[]
[null,"Example 10 - Radiated Power"]
[null,"  What is the ideal radiated power per unit area of a  body at 3000 degrees R in watts? "]
[]
[null,"q = sigma * T^4"]
[]
[null,"  Lookup the following unit names on the \"Names\" worksheet:"]
[null,"q = power = (W/M^2)"]
[null,"sigma = Stephan-Boltzman constant (SIGMA)"]
[null,"T = temperature = (degK)"]
[]
[null,"  Enter the following into the worksheet:"]
[]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit"]
[null,"Sigma =",1,"SIGMA","input value",{"$f":"CVBaseVal(C248,D248)","v":5.6703199999999999E-8},{"$f":"CVBaseUnit(D248)","v":"((KG*M^2/S^3)/(M^2*DEGK^4))"}]
[null,"Temperature =",3000,"degR","input value",{"$f":"CVBaseVal(C249,D249)","v":1666.6666666666699},{"$f":"CVBaseUnit(D249)","v":"(DEGK)"}]
[null,"Temperature =",{"$f":"cvval(F250,G250,D250)","v":1666.6666666666699},"degK","calculated value",{"$f":"F249","v":1666.6666666666699},{"$f":"G249","v":"(DEGK)"}]
[null,"Radiated Power =",{"$f":"cvval(F251,G251,D251)","v":437524.69135802798},"W/M^2","calculated value",{"$f":"F248*F250^4","v":437524.69135802815},{"$f":"\"(\"&G248&\")*(\"&G250&\")^4\"","v":"(((KG*M^2/S^3)/(M^2*DEGK^4)))*((DEGK))^4"}]
[]
[null,"Notes:  The Stefan-Boltzman constant is applied with a factor of \"1\" in the unit string.  One unit of this factor "]
[null,"is given in the numerical expression.  Other factors, such as the acceleration of gravity, are used this way.    "]
[]
[]
[null,"Example 11 - Chemical Equivalent - Pounds(mass) to Moles"]
[null,"  How many pounds of caffeine does a 1.35 mole sample weigh?  The chemical formula for caffeine is C8-H10-N4-O2."]
[]
[null,"The formula weight of caffeine is 8*12.01115 + 10*1.00797 + 4*14.0067 + 2*15.9994 "]
[]
[null,"  Lookup the following unit names on the \"Names\" worksheet:"]
[null,"mole = MOL"]
[null,"gram = GM"]
[null,"pound(mass) = LBM (do not confuse with pound force)"]
[]
[null,"  Enter the following into the worksheet:"]
[]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit"]
[null,"Formula Weight, Carbon =",12.011150000000001,"GM/MOL","input value",{"$f":"CVBaseVal(C270,D270)","v":1.201115E-2},{"$f":"CVBaseUnit(D270)","v":"(KG)/(MOL)"}]
[null,"Formula Weight, Hydrogen =",1.00797,"GM/MOL","input value",{"$f":"CVBaseVal(C271,D271)","v":1.00797E-3},{"$f":"CVBaseUnit(D271)","v":"(KG)/(MOL)"}]
[null,"Formula Weight, Nitrogen =",14.0067,"GM/MOL","input value",{"$f":"CVBaseVal(C272,D272)","v":1.40067E-2},{"$f":"CVBaseUnit(D272)","v":"(KG)/(MOL)"}]
[null,"Formula Weight, Oxygen =",15.9994,"GM/MOL","input value",{"$f":"CVBaseVal(C273,D273)","v":1.59994E-2},{"$f":"CVBaseUnit(D273)","v":"(KG)/(MOL)"}]
[null,"Formula Weight, Caffeine =",{"$f":"cvval(F274,G274,D274)","v":194.19450000000001},"GM/MOL","calculated value",{"$f":"8*F270+10*F271+4*F272+2*F273","v":0.19419449999999999},{"$f":"IF(G270=G271, IF(G272=G273,G270,NA()),NA())","v":"(KG)/(MOL)"}]
[null,"Quantity of Caffeine =",1.35,"MOL","input value",{"$f":"CVBaseVal(C275,D275)","v":1.35},{"$f":"CVBaseUnit(D275)","v":"(MOL)"}]
[null,"Sample Weight =",{"$f":"cvval(F276,G276,D276)","v":0.57796954344712603},"LBM","calculated value",{"$f":"F275*F274","v":0.26216257500000001},{"$f":"\"(\"&G275&\")*(\"&G274&\")\"","v":"((MOL))*((KG)/(MOL))"}]
[]
[null,"Notes:  Moles of a substance are related to mass by 1 Mole = atomic weight * grams mass.  "]
[null,"Molecules require multiplication by the number of atoms * the atomic weight.      "]
[]
[]
[null,"Example 12 - Chemical Molecule Weight"]
[null,"  What is the weight, in kilograms, of 1 molecule of sucrose?  The chemical formula for sucrose is C12-H22-O11."]
[]
[null,"The formula weight of sucrose is 12*12.01115 + 22*1.00797 + 11*15.9994. "]
[null,"The relationship between chemical formula weight and molecule weight is: "]
[null,"   (formula weight)/(Avogadro's number) = weight per molecule (item). "]
[]
[null,"  Lookup the following unit names on the \"Names\" worksheet:"]
[null,"mole = MOL"]
[null,"gram = GM"]
[null,"kilogram = KG "]
[null,"Avogadro's number = NA (60.22E+23 Items/Mole)"]
[null,"molecule (item) = ITEM  (items are used for quantities such as molecules)"]
[]
[null,"  Enter the following into the converter:"]
[]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit"]
[null,"Formula Weight, Carbon =",12.011150000000001,"GM/MOL","input value",{"$f":"CVBaseVal(C299,D299)","v":1.201115E-2},{"$f":"CVBaseUnit(D299)","v":"(KG)/(MOL)"}]
[null,"Formula Weight, Hydrogen =",1.00797,"GM/MOL","input value",{"$f":"CVBaseVal(C300,D300)","v":1.00797E-3},{"$f":"CVBaseUnit(D300)","v":"(KG)/(MOL)"}]
[null,"Formula Weight, Oxygen =",15.9994,"GM/MOL","input value",{"$f":"CVBaseVal(C301,D301)","v":1.59994E-2},{"$f":"CVBaseUnit(D301)","v":"(KG)/(MOL)"}]
[null,"Formula Weight, Sucrose =",{"$f":"cvval(F302,G302,D302)","v":342.30254000000002},"GM/MOL","calculated value",{"$f":"12*F299+22*F300+11*F301","v":0.34230253999999999},{"$f":"IF(G299=G300, IF(G299=G301,G299,NA()),NA())","v":"(KG)/(MOL)"}]
[null,"Avogadro's number =",1,"NA","constant",{"$f":"CVBaseVal(C303,D303)","v":6.0220450000000001E+23},{"$f":"CVBaseUnit(D303)","v":"(ITEM/MOL)"}]
[null,"Quantity of Sucrose =",1,"ITEM","input value",{"$f":"CVBaseVal(C304,D304)","v":1},{"$f":"CVBaseUnit(D304)","v":"(ITEM)"}]
[null,"Sucrose Molecule Weight =",{"$f":"cvval(F305,G305,D305)","v":5.6841577902523096E-25},"KG","calculated value",{"$f":"F304*F302/F303","v":5.6841577902523142E-25},{"$f":"\"(\"&G304&\")*(\"&G302&\")/(\"&G303&\")\"","v":"((ITEM))*((KG)/(MOL))/((ITEM/MOL))"}]
[]
[null,"Notes:  Carbon (C) has an atomic weight of 12.01115, hydrogen (H) has an atomic weight of 1.00797 and "]
[null,"oxygen (O) has an atomic weight of 15.9994.  Atomic weights define the number of grams per mole that a "]
[null,"substance weighs.  The use of a constant, such as Avogadro's number (NA), is shown in this example by "]
[null,"dividing the \"Value\" by \"1 * NA\"."]
[]
[]
[null,"Example 13 - Temperature of One Billion Standard  Cubic Feet of Ideal Gas at one Atmosphere Pressure "]
[null,"  What is the temperature, in degrees Farenheight, of 1 billion standard cubic feet of an ideal gas at one atmosphere pressure?  "]
[]
[null,"Ideal gas law:"]
[null,"p*V = m * RGC * T; solving for T:"]
[null,"T = (m * RGC)/(p * V)"]
[null,"where:"]
[null,"T = temperature,"]
[null,"m = quantity (billion standard cubic feet)"]
[null,"RGC = universal gas constant"]
[null,"p = pressure and "]
[null,"V = volume."]
[]
[null,"  Lookup the following unit names on the \"Names\" worksheet:"]
[null,"temperature, degrees Kelvin = degK and Farenheight = degF"]
[null,"quantity of billion std cuft gas = BCF"]
[null,"gas constant = RGC "]
[null,"pressure, atmospheres = ATM "]
[null,"volume, cubic feet = FT^3"]
[]
[null,"  Enter the following into the worksheet:"]
[]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit"]
[null,"Pressure, given =",1,"ATM","input value",{"$f":"CVBaseVal(C336,D336)","v":101325},{"$f":"CVBaseUnit(D336)","v":"(KG/(M*S^2))"}]
[null,"Gas quantity at standard temperature and pressure =",1,"BCF","constant",{"$f":"CVBaseVal(C337,D337)","v":1195300000},{"$f":"CVBaseUnit(D337)","v":"(MOL)"}]
[null,"Universal Gas Constant =",1,"RGC","constant",{"$f":"CVBaseVal(C338,D338)","v":8.3144100000000005},{"$f":"CVBaseUnit(D338)","v":"((((KG)*(M^2))/(S^2))/(MOL*DEGK))"}]
[null,"Volume at given pressure =",1000000000,"FT^3","input value",{"$f":"CVBaseVal(C339,D339)","v":28317016.493759099},{"$f":"CVBaseUnit(D339)","v":"(M)^3"}]
[null,"Calculated Temperature =",{"$f":"cvval(F340,G340,D340)","v":288.70596038819599},"degK ","calculated value",{"$f":"(F339*F336)/(F337*F338)","v":288.70596038819588},{"$f":"\"((\"&G339&\")*(\"&G336&\"))/((\"&G337&\")*(\"&G338&\"))\"","v":"(((M)^3)*((KG/(M*S^2))))/(((MOL))*(((((KG)*(M^2))/(S^2))/(MOL*DEGK))))"}]
[null,"Calculated Temperature =",{"$f":"cvval(F341,G341,D341)","v":60.000728698752098},"degF ","calculated value",{"$f":"F340","v":288.70596038819588},{"$f":"G340","v":"(((M)^3)*((KG/(M*S^2))))/(((MOL))*(((((KG)*(M^2))/(S^2))/(MOL*DEGK))))"}]
[]
[null,"Notes:  The volume of a constant amount of gas changes with pressure and temperature.  Standard units of "]
[null,"quantity have been established at standard temperatures and pressures.  The actual volume, temperature or "]
[null,"pressure of a gas can be found using the ideal gas law.  This example shows that the factor for a billion cubic feet "]
[null,"of a gas (BCF) is taken at 1 atmosphere pressure and 60 degrees Farenheight.  Any proper units can be "]
[null,"substituted into the Value, Input Unit String and Output Unit String fields for conversion.  Conversions using "]
[null,"temperature should always be done using absolute values.  These can then be converted into Celsius or "]
[null,"Fahrenheight values.  "]
[]
[]
[null,"Example 14 - Molecular weights with English and Metric Units "]
[null,"  What is the weight, in grains, of a 1/4 inch long string of carbon atoms if each averages 1.5E-08 centimeters in diameter?  "]
[null,"Carbon has an atomic weight of 12.01115 grams per mole.  "]
[]
[null,"total weight = total length * Weight/Atom * number of Atoms/length"]
[null,"where the weight/atom = formula weight / Avogadro's number"]
[]
[null,"  Lookup the following unit names on the \"Names\" worksheet:"]
[null,"length = inch = IN"]
[null,"length = centimeter = CM"]
[null,"gram = GM"]
[null,"mole = MOL"]
[null,"Avogadro's number = NA"]
[]
[null,"  Enter the following into the worksheet:"]
[]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit"]
[null,"Formula Weight, Carbon =",12.011150000000001,"GM/MOL","input value",{"$f":"CVBaseVal(C369,D369)","v":1.201115E-2},{"$f":"CVBaseUnit(D369)","v":"(KG)/(MOL)"}]
[null,"String Length =",{"$f":"1/4","v":0.25},"IN","input value",{"$f":"CVBaseVal(C370,D370)","v":6.3499999999999997E-3},{"$f":"CVBaseUnit(D370)","v":"(M)"}]
[null,"Carbon Atom Diameter =",1.4999999999999999E-8,"CM","input value",{"$f":"CVBaseVal(C371,D371)","v":1.5E-10},{"$f":"CVBaseUnit(D371)","v":"(M)"}]
[null,"Avogadro's number =",1,"NA","constant",{"$f":"CVBaseVal(C372,D372)","v":6.0220450000000001E+23},{"$f":"CVBaseUnit(D372)","v":"(ITEM/MOL)"}]
[null,"Number of Atoms per length =",{"$f":"cvval(F373,G373,D373)","v":66666666.666666701},"ITEM/CM","calculated value",{"$f":"1/F371","v":6666666666.666667},{"$f":"\"(1/\"&G371&\")\"","v":"(1/(M))"}]
[null,"Weight per Atom =",{"$f":"cvval(F374,G374,D374)","v":1.99453009733404E-23},"GM/ITEM","calculated value",{"$f":"F369/F372","v":1.994530097334045E-26},{"$f":"\"(\"&G369&\")/(\"&G372&\")\"","v":"((KG)/(MOL))/((ITEM/MOL))"}]
[null,"Total Weight =",{"$f":"cvval(F375,G375,D375)","v":1.30303283579628E-14},"GRAIN","calculated value",{"$f":"F370*F374*F373","v":8.4435107453807897E-19},{"$f":"\"(\"&G370&\")*(\"&G374&\")*(\"&G373&\")\"","v":"((M))*(((KG)/(MOL))/((ITEM/MOL)))*((1/(M)))"}]
[]
[null,"Notes:  The use of the constant for Avogadro's number, NA (6.022E+23 ITEM/MOL), is multiplied by a "]
[null,"factor of \"1\" in the \"value\" field.  The use of \"1\" in example expressions is to clarify the concept and is not necessary.  "]
[null,"The unit name, \"NA\", is required in the unit field however."]
[]
[]
[null,"Example 15 - Percent Chemical Composition of a Compound "]
[null,"  What is the percent composition of chlorine in FeCl3?  Iron (Fe) weighs 55.847 grams per mole and "]
[null,"chlorine (Cl) weighs 35.453 grams per mole based on atomic weight."]
[]
[null,"Molecule Weight = Fe*1+Cl*3 = (1*(55.847)+3*(35.453))  MOL*(GM/MOL)"]
[null,"Chlorine weight per molecule = (35.453)*3"]
[null,"Cl Percentage = (chlorine weight per molecule)/(molecule weight)"]
[]
[null,"  Lookup the following unit names on the \"Names\" worksheet:"]
[null,"gram = GM"]
[null,"mole = MOL"]
[null,"percent = CENTI"]
[]
[null,"  Enter the following into the worksheet:"]
[]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit"]
[null,"Formula Weight, Iron (Fe) =",55.847000000000001,"GM/MOL","input value",{"$f":"CVBaseVal(C398,D398)","v":5.5847000000000001E-2},{"$f":"CVBaseUnit(D398)","v":"(KG)/(MOL)"}]
[null,"Formula Weight, Chlorine (Cl) =",35.453000000000003,"GM/MOL","input value",{"$f":"CVBaseVal(C399,D399)","v":3.5452999999999998E-2},{"$f":"CVBaseUnit(D399)","v":"(KG)/(MOL)"}]
[null,"Formula Weight, FeCl3 =",{"$f":"cvval(F400,G400,D400)","v":162.20599999999999},"GM/MOL","calculated value",{"$f":"1*F398+3*F399","v":0.16220599999999999},{"$f":"IF(G398=G399, G398,NA())","v":"(KG)/(MOL)"}]
[null,"Portion of Cl in FeCl3 =",{"$f":"cvval(F401,G401,D401)","v":0.65570324155703197},"ITEM","calculated value",{"$f":"3*F399/F400","v":0.65570324155703241},{"$f":"\"(\"&G399&\")/(\"&G400&\")\"","v":"((KG)/(MOL))/((KG)/(MOL))"}]
[null,"Portion of Cl in FeCl3 as percentage =",{"$f":"cvval(F402,G402,D402)","v":65.570324155703204},"CENTI","calculated value",{"$f":"F401","v":0.65570324155703241},{"$f":"G401","v":"((KG)/(MOL))/((KG)/(MOL))"}]
[]
[null,"Notes:  A \"CENTI\" or \"CENTI*ITEM\" can be used for \"percent\" because this \"unit\" is 1/100th of any quantity."]
[]
[]
[null,"Example 16 - Centrifugal Force"]
[null,"  What is the centrifugal force of a mass of 3.31 lbm rotating at 3000 revolutions per minute (rpm) at a radius of 18 inches?"]
[]
[null,"Centrifugal Force = mass * radius * rotation speed ^ 2"]
[]
[null,"  Lookup the following unit names on the \"Names\" worksheet:"]
[null,"pound (mass) = LBM"]
[null,"revolution = REV"]
[null,"minute = MIN"]
[null,"inch = IN"]
[null,"pound (force) = LBF"]
[]
[null,"  Enter the following into the worksheet:"]
[]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit"]
[null,"Mass =",3.31,"LBM","input value",{"$f":"CVBaseVal(C422,D422)","v":1.5013907446999999},{"$f":"CVBaseUnit(D422)","v":"(KG)"}]
[null,"Rotation Speed =",3000,"RPM","input value",{"$f":"CVBaseVal(C423,D423)","v":314.15926535898001},{"$f":"CVBaseUnit(D423)","v":"(M/M/S)"}]
[null,"Radius =",18,"IN","input value",{"$f":"CVBaseVal(C424,D424)","v":0.4572},{"$f":"CVBaseUnit(D424)","v":"(M)"}]
[null,"Centrifugal Force =",{"$f":"cvval(F425,G425,D425)","v":15230.4690812551},"LBF","calculated value",{"$f":"F422*F424*F423^2","v":67748.502711925568},{"$f":"\"(\"&G422&\")*(\"&G424&\")*(\"&G423&\")^2\"","v":"((KG))*((M))*((M/M/S))^2"}]
[]
[null,"Notes:  Rotational speed can be expressed as revolutions per minute (RPM or REV/MIN) of cycles per minute "]
[null,"(CYCLE/MIN).  It can also be expressed as Hertz (HZ), radians per second (RAD/S) or any other "]
[null,"rotation per unit time combination.  Units of force and mass are properly handled by the converter.  "]

{"sheet":"Names","index":2,"n_rows":1193,"n_cols":13,"rows_kept":1193,"cut":false,"hidden":false,"merged":[]}
["Unit Names"]
[null,"Rec","Name","Description","Factor","Bias","Base","Type","Fav","chkval"]
[null,"-",1,2,3,4,5,6,7,"-"]
[null,1,{"$f":"UCFactorData($B4,C$3)","v":"ACRE"},{"$f":"UCFactorData($B4,D$3)","v":"Area - acre"},"4046.8564","0","(M^2)","area","x",{"$f":"UCchkval(G4)","v":289}]
[null,2,{"$f":"UCFactorData($B5,C$3)","v":"ACREFT"},"acre-foot","1233.4818","0","(M^3)","volume","",{"$f":"UCchkval(G5)","v":4913}]
[null,3,"AGATE","agate [Adobe] ","0.0003528","0","(M)","length","",17]
[null,4,"ALEN[DAN]","alen [Danish] ","0.6277","0","(M)","length","",17]
[null,5,"ALEN[SC]","alen [Scandinavia] ","0.6","0","(M)","length","",17]
[null,6,"ALEN[SW]","alen [Swedish] ","0.5938","0","(M)","length","",17]
[null,7,"AMP","ampere electric current","1","0","(AMP)","electric","x",5]
[null,8,"AMU","atomic mass unit (unified, physical)","1.66054021E-27","0","(KG)","mass ","",11]
[null,9,"ANGSTROM","angstrom","0.0000000001","0","(M)","length","x",17]
[null,10,"ARE","Are, area of land","100","0","(M^2)","area","",289]
[null,11,"ARMLEN","arms-length ","0.7","0","(M)","length","",17]
[null,12,"ARPENT[C]","arpent [Canada] ","58.47","0","(M)","length","",17]
[null,13,"ARPENT[F]","arpent [France] ","58.471308","0","(M)","length","",17]
[null,14,"ARSHEEN","arsheen [Russia] ","0.7112","0","(M)","length","",17]
[null,15,"ARSHIN[IRAN]","arshin [iran] ","1.04","0","(M)","length","",17]
[null,16,"ARSHIN[IRAQ]","arshin [iraq] ","74.5","0","(M)","length","",17]
[null,17,"ATM","atmosphere","101325","0","(KG/(M*S^2))","pressure","x",6.7331823468201016E-4]
[null,18,"ATTO","multiplier, 1E-18","0.000000000000000001","0","(ITEM)","Multiplier","",1]
[null,19,"AU","astronomical unit ","149597870300","0","(M)","length","",17]
[null,20,"B","Bel","1.15129254649702","0","(ITEM)","Multiplier","",1]
[null,21,"BAMBOO","bamboo ","3.2","0","(M)","length","",17]
[null,22,"BAR","bar","100000","0","(KG/(M*S^2))","pressure","x",6.7331823468201016E-4]
[null,23,"BARLY","barlycorn","0.008467","0","(M)","length","",17]
[null,24,"BARN","Barn, area","1E-28","0","(M^2)","area","",289]
[null,25,"BBL","barrel, petrolium","0.1589872949","0","(M^3)","volume","",4913]
[null,26,"BCF","billion std cu ft of gas","1195300000","0","(MOL)","quantity","",19]
[null,27,"BDFT","board feet","0.0023597372","0","(M^3)","volume","",4913]
[null,28,"BEESP","bee space ","0.0065","0","(M)","length","",17]
[null,29,"BLK[E]","block [East US] ","80.4672","0","(M)","length","",17]
[null,30,"BLK[MID]","block [Midwest US] ","100.584","0","(M)","length","",17]
[null,31,"BLK[SW]","block [South, West US] ","160.9344","0","(M)","length","",17]
[null,32,"BOLT","bolt of cloth","36.576","0","(M)","length","",17]
[null,33,"BQ","Becquerel, radionuclide activity","1","0","(ITEM/S)","nuclear","",3.2258064516129031E-2]
[null,34,"BRAC[IT]","braccio [Italy] ","0.7","0","(M)","length","",17]
[null,35,"BRAZ[A]","braza [Argentina] ","1.733","0","(M)","length","",17]
[null,36,"BRAZ[S]","braza [Spain] ","1.67","0","(M)","length","",17]
[null,37,"BRAZ[T]","braza [Texas] ","1.693","0","(M)","length","",17]
[null,38,"BTU","british thermal unit","1055.055853","0","((KG*M^2)/S^2)","energy","x",3.3080124869927161]
[null,39,"BTU[MEAN]","btu(mean)","1055.87","0","((KG*M^2)/S^2)","energy","",3.3080124869927161]
[null,40,"BTU[TH]","btu(th)","1054.35","0","((KG*M^2)/S^2)","energy","",3.3080124869927161]
[null,41,"BUNDLE","bundle, paper","1000","0","(PP)","paper","",{"$error":"#NAME?"}]
[null,42,"BUSHEL","bushel (US)","0.03523907","0","(M^3)","volume","x",4913]
[null,43,"BUSHEL[UK]","bushel(uk)","0.03636872","0","(M^3)","volume","",4913]
[null,44,"BUTM","button measure ","0.000635","0","(M)","length","",17]
[null,45,"DEGC","degrees Celsius","1","-273.15","(DEGK)","temperature","x",7]
[null,46,"CAB","cable","182.88","0","(M)","length","",17]
[null,47,"CAB[UK]","cable [British] ","185.3184","0","(M)","length","",17]
[null,48,"CAB[US]","cable [U.S.] ","219.456","0","(M)","length","",17]
[null,49,"CAL","calorie","4.1868","0","((KG*M^2)/S^2)","energy","x",3.3080124869927161]
[null,50,"CAL[15C]","calorie(15C)","4.1858","0","((KG*M^2)/S^2)","energy","",3.3080124869927161]
[null,51,"CAL[20C]","calorie(20C)",{"$f":"UCFactorData($B54,E$3)","v":"4.1819"},"0","((KG*M^2)/S^2)","energy","",3.3080124869927161]
[null,52,{"$f":"UCFactorData($B55,C$3)","v":"CAL[MEAN]"},"calorie(mean)","4.19002","0","((KG*M^2)/S^2)","energy","",3.3080124869927161]
[null,53,"CAL[TH]","calorie(th)","4.184","0","((KG*M^2)/S^2)","energy","",3.3080124869927161]
[null,54,"CALIBER","caliber ","0.0254","0","(M)","length","",17]
[null,55,"CALORIE[FOOD]","calorie(food)","4186","0","((KG*M^2)/S^2)","energy","x",3.3080124869927161]
[null,56,"CANA","cana (canna, canne) ","2","0","(M)","length","",17]
[null,57,"CAPEFT","cape foot ","0.314858","0","(M)","length","",17]
[null,58,"CAPEIN","cape inch ","0.0262382","0","(M)","length","",17]
[null,59,"CAPEROOD","cape rood ","3.778296","0","(M)","length","",17]
[null,60,"CARAT","Carat","0.0002","0","(KG)","mass","x",11]
[null,61,"CASE[P]","case, paper","4000","0","(PP)","paper","",{"$error":"#NAME?"}]
[null,62,"CBLK[EUS]","city block [East U.S.] ","80.4672","0","(M)","length","",17]
[null,63,"CBLK[M]","city block [Midwest U.S.] ","100.584","0","(M)","length","",17]
[null,64,"CBLK[SW]","city block [South, West U.S.] ","160.9344","0","(M)","length","",17]
[null,65,"CC","cubic centimeters","0.000001","0","(M^3)","volume","x",4913]
[null,66,"CD","Candlela, luminous intensity","1","0",{"$f":"UCFactorData($B69,G$3)","v":"(CD)"},"luminesence","x",{"$f":"UCchkval(G69)","v":13}]
[null,67,"CENT[HEAT]","centigrade heat","1900.4","0","((KG*M^2)/S^2)","energy","",3.3080124869927161]
[null,68,"CENTAL","cental","45.359237","0","(KG)","mass","",11]
[null,69,"CENTI","multiplier, 1E-2","0.01","0","(ITEM)","Multiplier","x",1]
[null,70,"CHAIN","chain [Gunter, survey] ","20.1168402","0","(M)","length","x",17]
[null,71,"CHAIN[RAM]","chain [Ramsden, engineer] ","30.48","0","(M)","length","",17]
[null,72,"CHAIN[SUR]","chain (surveyor)","20.11684","0","(M)","length","",17]
[null,73,"CHIH","ch'ih [China] ","0.35814","0","(M)","length","",17]
[null,74,"CIRCLE","full circle","6.2831853071796","0","(M/M)","angle","x",1]
[null,75,"CLICK","click [U.S. military] ","1000","0","(M)","length","",17]
[null,76,"CM","centimeter","0.01","0","(M)","length","x",17]
[null,77,"CM[H2O]","cm water","98.0665","0","(KG/(M*S^2))","pressure","",6.7331823468201016E-4]
[null,78,"CM[HG]","cm mercury","1333.22","0","(KG/(M*S^2))","pressure","",6.7331823468201016E-4]
[null,79,"CORD","Cord","3.6245734","0","(M^3)","volume","",4913]
[null,80,"CORDFT","Cord foot","0.453072263900146","0","(M^3)","volume","",4913]
[null,81,"COULOMB","Charge, quantity of electricity","1","0","(AMP*S)","electric","x",155]
[null,82,"CP","centipoise, viscocity","0.001","0","(KG/(M*S))","viscocity","x",2.0872865275142316E-2]
[null,83,"CST","centistoke","0.000001","0","(M^2/S)","viscocity","x",9.32258064516129]
[null,84,"CUADRA","cuadra ","84","0","(M)","length","",17]
[null,85,"CUADRA[A]","cuadra [Argentina] ","130","0","(M)","length","",17]
[null,86,"CUBIT","cubit","0.4572","0","(M)","length","",17]
[null,87,"CUBIT[EG]","cubit [Egyption] ","0.45","0","(M)","length","",17]
[null,88,"CUBIT[RE]","cubit [Royal Egyptian] ","0.5235","0","(M)","length","",17]
[null,89,"CUBIT[ROME]","cubit [Roman] ","0.444","0","(M)","length","",17]
[null,90,"CUERDA","cuerda ","21","0","(M)","length","",17]
[null,91,"CUP","cup","0.000236588","0","(M^3)","volume","x",4913]
[null,92,"CURIE","Curie, radionuclide activity","37000000000","0","(ITEM/S)","nuclear","",3.2258064516129031E-2]
[null,93,"CYCLE","revolution","6.2831853071796","0","(M/M)",{"$f":"UCFactorData($B96,H$3)","v":"angle"},"x",1]
[null,94,"DAM","Dam, length","10","0","(M)","length","",17]
[null,95,"DARCY","darcy","9.869233E-13","0","(M^2)","area","",289]
[null,96,"DAY","day (mean Earth)","86400","0","(S)","time","x",31]
[null,97,"DECI","multiplier, 1E-1 ","0.1","0","(ITEM)","Multiplier","x",1]
[null,98,"DEG","degrees","0.0174532925199433","0","(M/M)","angle","x",1]
[null,99,"DEKA","multiplier, 1E1","10","0","(ITEM)","Multiplier","x",1]
[null,100,"DIDOT","didot point ","0.000377","0","(M)","length","",17]
[null,101,"DIGIT","digit ","0.019","0","(M)","length","",17]
[null,102,"DIRAA[E]","diraa [Egypt] ","0.58","0","(M)","length","",17]
[null,103,"DONG[V]","dong [Vietnam] ","0.0233333","0","(M)","length","",17]
[null,104,"DOUZ[P]","douzième [print] ","0.0001764","0","(M)","length","",17]
[null,105,"DOUZ[W]","douzième [watchmaking] ","0.000188","0","(M)","length","",17]
[null,106,"DRA[IRAQ]","dra [Iraq] ","0.745","0","(M)","length","",17]
[null,107,"DRA[RUS]","dra [Russia] ","0.7112","0","(M)","length","",17]
[null,108,"DRAM","Dram, fluid capacity or volume","3.696691E-6","0","(M^3)","volume","",4913]
[null,109,"DRAM[AV]","Dram (avoirdupois)",".0017718452","0","(KG)","mass","",11]
[null,110,"DYNE","dyne","0.00001","0","((KG*M)/S^2)","force","x",0.19458896982310095]
[null,111,"EC","e, Elementary Charge, electron","1.6021892E-19","0","(AMP*S)","constant","",155]
[null,112,"EARTHMASS","earth mass","5.98E+24","0","(KG)","mass","",11]
[null,113,"EARTHMDM","Earth Magnetic dipole moment","8.1E+22","0","(AMP*M^2)","constant","",1445]
[null,114,"EARTHMF","Earth magnetic field","0.000057","0","(KG/(AMP*S^2))","constant","",2.2892819979188346E-3]
[null,115,"EARTHRE","Radius of Earth, equator","6378000","0","(M)","constant","",17]
[null,116,{"$f":"UCFactorData($B119,C$3)","v":"EARTHRM"},"Radius of Earth, mean","6370000","0","(M)","constant","",17]
[null,117,"EARTHRP","Radius of Earth, poles","6357000","0","(M)","constant","",17]
[null,118,"EARTHSR","Solar radiation on Earth","1340","0","((KG*M^2/S^3)/M^2)","constant","",3.6923903192239267E-4]
[null,119,"EL[D]","el [Dutch] ","0.69","0","(M)","length","",17]
[null,120,"ELL[ENG]","ell [English] ","1.143","0","(M)","length","",17]
[null,121,"ELL[S]","ell [Scotland] ","0.945","0","(M)","length","",17]
[null,122,"ELLE[G]","elle [Germany] ","0.6","0","(M)","length","",17]
[null,123,"ELLE[V]","elle [Vienna] ","0.7793","0","(M)","length","",17]
[null,124,"ELLS[UK]","ells (UK)","0.875","0","(M)","length","",17]
[null,125,"EM","em ","0.0042175","0","(M)","length","",17]
[null,126,"EMS","ems (pica)","0.004233","0","(M)","length","",17]
[null,127,"EPSILON","Epsilon0, Permittivity","8.854187818E-12","0","((AMP^2*S^4/(KG*M^2))/M)","constant","",427.21582813685399]
[null,128,"ERG","erg","0.0000001","0","((KG*M^2)/S^2)","energy","",3.3080124869927161]
[null,129,"ESTADO[P]","estadio [Portugal] ","261","0","(M)","length","",17]
[null,130,"ESTADO[S]","estadio [Spain] ","174","0","(M)","length","",{"$f":"UCchkval(G133)","v":17}]
[null,131,"EV","Electron volt","1.6E-19","0","((KG*M^2)/S^2)","energy","x",3.3080124869927161]
[null,132,"EXA","multiplier, 1E18","1000000000000000000","0","(ITEM)","Multiplier","",1]
[null,133,"DEGF","degrees Farenheight","0.555555555555556","-459.67","(DEGK)","temperature","x",7]
[null,134,"F[16]","Fraction, 1/16, sixteenth","0.0625","0","(ITEM)","Multiplier","x",1]
[null,135,"F[2]","Fraction, 1/2, half","0.5","0","(ITEM)","Multiplier","x",1]
[null,136,"F[32]","Fraction, 1/32, thirtysecond",{"$f":"UCFactorData($B139,E$3)","v":"0.03125"},"0","(ITEM)","Multiplier","x",1]
[null,137,"F[4]","Fraction, 1/4, quarter or fourth","0.25","0","(ITEM)","Multiplier","x",1]
[null,138,"F[64]","Fraction, 1/64, sixtyfourth","0.015625","0","(ITEM)","Multiplier","x",1]
[null,139,"F[8]","Fraction, 1/8, eighth","0.125","0","(ITEM)","Multiplier","x",1]
[null,140,"FADEN[A]","faden [Austria] ","1.8965","0","(M)","length","",17]
[null,141,"FADEN[S]","faden [Switzerland] ","1.8","0","(M)","length","",17]
[null,142,"FALL[ENG]","fall [English] ","6.858","0","(M)","length","",17]
[null,143,"FALL[S]","fall [Scotland] ","5.67","0","(M)","length","",17]
[null,144,"FARAD","capacitance, electrical","1","0","((AMP^2*S^4)/(KG*M^2))","electric","",7262.6690783265176]
[null,145,"FATHOM","fathom","1.8288","0","(M)","length","x",17]
[null,146,"FATHOM[A]","fathom [ancient] ","1.829","0","(M)","length","",17]
[null,147,"FAUST[H]","faust [Hungary] ","0.10536","0","(M)","length","",17]
[null,148,"FC","Fc, Faraday constant","96484.56","0","((AMP*S)/(MOL))","constant","",8.1578947368421044]
[null,149,"FEMTO","multiplier, 1E-15","0.000000000000001","0","(ITEM)","Multiplier","",1]
[null,150,"FINBRTH","fingerbreadth ","0.01905","0","(M)","length","",17]
[null,151,"FINGER","finger ","0.1143","0","(M)","length","",17]
[null,152,"FIST","fist ","0.1","0","(M)","length","",17]
[null,153,"FLOZ","Fluid Ounce","0.00002957373","0","(M^3)","volume","x",4913]
[null,154,"FLOZ[UK]","floz(uk)","0.000028413","0","(M^3)","volume","",4913]
[null,155,"FOD","fod ","0.3141","0","(M)","length","",17]
[null,156,"FT","feet","0.304800609601219","0","(M)","length","x",17]
[null,157,"FT[CHINA]","chinese foot ","0.371475","0","(M)","length","",17]
[null,158,"FT[CPRE]","feet [pre-1963 Canada] ","0.325","0","(M)","length","",17]
[null,159,"FT[E]","feet [Egypt] ","0.36","0","(M)","length","",17]
[null,160,"FT[F]","feet [France] ","0.3248406","0","(M)","length","",17]
[null,161,"FT[H2O]","foot of water","2988.98","0","(KG/(M*S^2))","pressure","x",6.7331823468201016E-4]
[null,162,"FT[IRAQ]","feet [iraq] ","0.316","0","(M)","length","",17]
[null,163,"FT[N]","feet [Netherlands] ","0.28313","0","(M)","length","",17]
[null,164,"FT[ROME]","feet [Rome] ","0.296","0","(M)","length","",17]
[null,165,"FT[SURV]","feet [survey] ","0.3048006","0","(M)","length","",17]
[null,166,"FT[US]","feet [international, U.S.] ","0.3048","0","(M)","length","",17]
[null,167,"FT[USSURV]","ft (us survey)","0.304801","0","(M)","length","",17]
[null,168,"FTBFLD[C]","football field [Canada] ","100.584","0","(M)","length","",17]
[null,169,"FTBFLD[US]","football field [U.S.] ","91.44","0","(M)","length","",17]
[null,170,"FTBFLD[USC]","football field [U.S., complete] ","109.728","0","(M)","length","",17]
[null,171,"FTCANDLE","Foot-Candle","10.76391","0",{"$f":"UCFactorData($B174,G$3)","v":"(((M^2/M^2)*CD)/M^2)"},"luminesence","x",4.4982698961937718E-2]
[null,172,"FTPOUNDAL","ft poundal","0.04214","0","((KG*M^2)/S^2)","energy","",3.3080124869927161]
[null,173,"FURLONG","furlong","201.168","0","(M)","length","x",17]
[null,174,"FURLONG[S]","furlong [survey] ","201.1684023","0","(M)","length","",17]
[null,175,"FUSS[G]","fuss [German] ","0.31608","0","(M)","length","",17]
[null,176,"G","gravity acceleration","9.80665","0","(M/S^2)","constant","x",1.7689906347554629E-2]
[null,177,"GAL","gallon (us liquid)","0.003785411784","0","(M^3)","volume","x",4913]
[null,178,"GAL[USDRY]","gal(us dry)","0.004404884","0","(M^3)",{"$f":"UCFactorData($B181,H$3)","v":"volume"},"x",4913]
[null,179,"GALUK","gallon (uk)","0.004546087","0","(M^3)","volume","",4913]
[null,180,{"$f":"UCFactorData($B183,C$3)","v":"GAUSS"},"Magnetic flux density","0.0001","0","(KG/(AMP*S^2))","magnetic","",2.2892819979188346E-3]
[null,181,"GC","Gravity Correction Factor","1","0","(KG*M/(((KG*M)/S^2)*S^2))","constant","",1]
[null,182,"GIGA","multiplier, 1E9","1000000000","0","(ITEM)","Multiplier","x",1]
[null,183,"GILL","Gill","0.00011829492","0","(M^3)","volume","",4913]
[null,184,"GM","gram","0.001","0","(KG)","mass","x",11]
[null,185,"GNATEYE","gnat's eye ","0.000125","0","(M)","length","",17]
[null,186,"GOAD","goad ","1.3716","0","(M)","length","",17]
[null,187,"GRAIN","grains","0.00006479891","0","(KG)","mass","",11]
[null,188,"GRAV","Gravity constant","0.00000000006672","0","(M^3/(S^2*KG))","constant","",0.46476208494938986]
[null,189,"GRAY","Absorbed dose, specific energy, kerma","1","0","(M^2/S^2)","nuclear","",0.3007284079084287]
[null,190,"GROSS","12 dozen, 144","144","0","(ITEM)","Multiplier","x",1]
[null,191,"GRY","gry ","0.0002117","0","(M)","length","",17]
[null,192,"H","h, Planck constant","6.626176E-34","0","(KG*M^2/S)","constant","",102.54838709677419]
[null,193,"HAIRBRDTH","hair's breadth ","0.0001","0","(M)","length","",17]
[null,194,"HAND","hand","0.1016","0","(M)","length","",{"$f":"UCchkval(G197)","v":17}]
[null,195,"HAND[NONE]","hand [non-equine] ","0.1016","0","(M)","length","",17]
[null,196,"HANDBRTH","handbreadth ","0.08","0","(M)","length","",17]
[null,197,"HAT[C]","hat [Cambodia] ","0.5","0","(M)","length","",17]
[null,198,"HDWT","hundredweight","45.4545454545455","0","(KG)","mass","",11]
[null,199,"HECTARE","hectare, area of land","10000","0","(M^2)","area","x",289]
[null,200,"HECTO","multiplier, 1E2","100","0","(ITEM)","Multiplier","x",1]
[null,201,"HEER","heer ","73.152","0","(M)","length","",17]
[null,202,"HENRY","electrical inductance","1","0","((KG*M^2)/(AMP^2*S^2))","electric","",0.13232049947970864]
[null,203,"HP","horsepower (550 ft*lbf/s)","745.699872","0","((KG*M^2)/S^3)","power","x",0.10671008022557148]
[null,204,"HP[ELEC]","hp(electric)","746","0","((KG*M^2)/S^3)","power","",0.10671008022557148]
[null,205,"HP[H2O]","hp(water)","746.043","0","((KG*M^2)/S^3)","power","",0.10671008022557148]
[null,206,"HP[M]","hp(metric)","735.4988","0","((KG*M^2)/S^3)","power","",0.10671008022557148]
[null,207,"HR","hour","3600","0","(S)","time","x",31]
[null,208,"HUBBLE","hubble ","9.4605E+50","0","(M)","length","",17]
[null,209,"HVAT[C]","hvat [Croatia] ","1.8965","0","(M)","length","",17]
[null,210,"HZ","Hertz, frequency, (rad)/second",{"$f":"UCFactorData($B213,E$3)","v":"1.00"},"0","(S^-1)","rotation","x",3.2258064516129031E-2]
[null,211,"IN","inch","0.0254","0","(M)","length","x",17]
[null,212,"IN[CHINA]","chinese inch ","0.0371475","0","(M)","length","",17]
[null,213,"IN[H2O]","inch of water (60 F)","248.84","0","(KG/(M*S^2))","pressure","",6.7331823468201016E-4]
[null,214,"IN[HG]","inch of hg (60 F)","3376.85","0","(KG/(M*S^2))","pressure","",6.7331823468201016E-4]
[null,215,"IRON","iron ","0.0005292","0","(M)","length","",17]
[null,216,"ITEM","Any individual item, dimensionless","1","0","(ITEM)","quantity","x",1]
[null,217,"J","joule, energy, work or quentity of heat","1","0","((KG*M^2)/S^2)","energy","x",3.3080124869927161]
[null,218,"DEGK","degrees Kelvin","1","0","(DEGK)","temperature","x",7]
[null,219,"KAT","Katal, catalytic activity","1","0","(MOL/S)","chemical","",0.61290322580645162]
[null,220,"KC","k, Boltzman constant","1.380662E-23","0","((KG*M^2/S^2)/DEGK)","constant","",0.47257321242753086]
[null,221,"KCAL","kilocalarie (ist)",{"$f":"UCFactorData($B224,E$3)","v":"4186.8"},"0","((KG*M^2)/S^2)","energy","",3.3080124869927161]
[null,222,"KEN[J]","ken [Japan] ","1.818","0","(M)","length","",17]
[null,223,"KERAT","kerat ","0.0286","0","(M)","length","",17]
[null,224,"KG","kilogram","1","0","(KG)","mass","x",11]
[null,225,"KGF","kilogram force","9.80665","0","((KG*M)/S^2)","force","",0.19458896982310095]
[null,226,"KILO","multiplier, 1E3","1000","0","(ITEM)","Multiplier","x",1]
[null,227,"KIND","kind ","0.5","0","(M)","length","",17]
[null,228,"KIP","1000 pound force","4448.2216765935","0","((KG*M)/S^2)","force","x",0.19458896982310095]
[null,229,"KJ","kilojoule","1000","0","((KG*M^2)/S^2)","energy","",3.3080124869927161]
[null,230,"KLAFTER[A]","klafter [Austria] ","1.8965","0","(M)","length","",17]
[null,231,"KLAFTER[S]","klafter [Switzerland] ","1.8","0","(M)","length","",17]
[null,232,"KLICK","klick ","1000","0","(M)","length","",17]
[null,233,"KM","kilometer","1000","0","(M)","length","x",17]
[null,234,"KMOL","kilomole","1000","0","(MOL)","quantity","",19]
[null,235,"KNOT","Knot","0.51444444444444","0","(M/S)","velocity","x",0.54838709677419351]
[null,236,"KNOT[UK]","knot(uk)","0.51477","0","(M/S)","velocity","",0.54838709677419351]
[null,237,"KPA","kilopascal","1000","0","(KG/(M*S^2))","pressure","",6.7331823468201016E-4]
[null,238,"KSI","kip per sq inch","6854757.2","0","(KG/(M*S^2))","pressure","",6.7331823468201016E-4]
[null,239,"KT","kilotonne","1000000","0","(KG)","mass","",11]
[null,240,"KW","kilowatt","1000","0","((KG*M^2)/S^3)","power","x",0.10671008022557148]
[null,241,"KYU","kyu ","0.00025","0","(M)","length","",17]
[null,242,"L","liter","0.001","0","(M^3)","volume","x",4913]
[null,243,"L[OLD]","L(1901-1964)","0.001000028","0","(M^3)","volume","",4913]
[null,244,{"$f":"UCFactorData($B247,C$3)","v":"LAMBDAC"},"Lambda-c, Electron Compton wavelength","2.4263089E-12","0","(M)","constant","",17]
[null,245,"LAP[COMP]","lap [competition] ","400","0","(M)","length","",17]
[null,246,"LAP[OLD]","lap [old] ","402.336","0","(M)","length","",17]
[null,247,"LAP[OLYPOOL]","lap [olympic pool] ","100","0","(M)","length","",17]
[null,248,"LBF","pound force","4.44822167659347","0","((KG*M)/S^2)","force","x",0.19458896982310095]
[null,249,"LBM","pound mass","0.45359237","0","(KG)","mass","x",11]
[null,250,"LEAGUE","league [US statute] ","4828.0417","0","(M)","length","",17]
[null,251,"LEAGUE[AC]","league [ancient Celtic] ","2275","0","(M)","length","",17]
[null,252,"LEAGUE[N]","league [nautical] ","5556","0","(M)","length","",17]
[null,253,"LEAGUE[UK]","league [UK] ","4828","0","(M)","length","",17]
[null,254,"LEAGUE[UKN]","league [UK nautical] ","5559.552","0","(M)","length","",17]
[null,255,"LEAP","leap ","2.0574","0","(M)","length","",17]
[null,256,"LEGOA","legoa ","6174.1","0","(M)","length","",17]
[null,257,"LEGUA","legua ","4200","0","(M)","length","",17]
[null,258,"LEGUA[S]","legua [Spanish, post-1568] ","6680","0","(M)","length","",{"$f":"UCchkval(G261)","v":17}]
[null,259,"LEGUA[SPRE]","legua [Spanish, pre-1568] ","4179.4","0","(M)","length","",17]
[null,260,"LEGUA[T]","legua [Texas] ","4233.4","0","(M)","length","",17]
[null,261,"LHDWT","Long Hundredweight","50.802345","0","(KG)","mass","",11]
[null,262,"LI[AC]","li [ancient China] ","500","0","(M)","length","",17]
[null,263,"LI[IC]","li [imperial China] ","644.65","0","(M)",{"$f":"UCFactorData($B266,H$3)","v":"length"},"",17]
[null,264,"LI[MC]","li [modern China] ","500","0","(M)","length","",17]
[null,265,"LIEUE[F]","lieue [France] ","3898","0","(M)","length","",17]
[null,266,"LIEUE[FM]","lieue [France, metric] ","4000","0","(M)","length","",17]
[null,267,"LIEUE[FN]","lieue [France, nautical] ","5556","0","(M)","length","",17]
[null,268,"LIGHT","speed of light","299790000","0","(M/S)","velocity","x",0.54838709677419351]
[null,269,"LIGHTYR","Light-Year","9460528405000000","0","(M)","length","x",17]
[null,270,"LIGNE[F]","ligne [France] ","0.0021167","0","(M)","length","",17]
[null,271,"LIGNE[S]","ligne [Swiss] ","0.002256","0","(M)","length","",17]
[null,272,"LINE","line ","0.0021167","0","(M)","length","",17]
[null,273,"LINE[S]","line [small] ","0.000635","0","(M)","length","",17]
[null,274,"LINK","Link (Survey)","0.201168","0","(M)","length","",17]
[null,275,"LINK[GUN]","link [Gunter, survey] ","0.2011684","0","(M)","length","",17]
[null,276,"LINK[RAM]","link [Ramden, engineer] ","0.3048","0","(M)","length","",17]
[null,277,"LM","Lumen, Luminous flux","1","0",{"$f":"UCFactorData($B280,G$3)","v":"((M^2/M^2)*CD)"},"luminesence","x",13]
[null,278,"LUG","lug ","5.0292","0","(M)","length","",17]
[null,279,"LUG[G]","lug [great] ","6.4008","0","(M)","length","",17]
[null,280,"LX","Lux, Illuminance","1","0",{"$f":"UCFactorData($B283,G$3)","v":"(CD*(M^2/M^4))"},"luminesence","x",4.4982698961937718E-2]
[null,281,"M","meter","1","0","(M)","length","x",17]
[null,282,"M[H2O]","meter water","9806.65","0","(KG/(M*S^2))","pressure","",6.7331823468201016E-4]
[null,283,"MACH[s]","mach(isa/sl)","340.2933","0","(M/S)","velocity","x",0.54838709677419351]
[null,284,"MARATHON","marathon ","42194.988","0","(M)","length","",17]
[null,285,"MARKT","mark twain ","3.6576074","0","(M)","length","",17]
[null,286,"MBAR","millibar","100","0","(KG/(M*S^2))","pressure","x",6.7331823468201016E-4]
[null,287,"MCF","thousand std cu ft gas","1195.3","0","(MOL)","quantity","",19]
[null,288,"MD","millidarcy","9.869233E-16","0","(M^2)","area","",289]
[null,289,"ME","Me, Electron Rest Mass","9.109534E-31","0","(KG)","constant","",11]
[null,290,"MEGA","multiplier, 1E6","1000000","0","(ITEM)","Multiplier","",1]
[null,291,"MEILE[A]","meile [Austria] ","7586","0","(M)","length","",17]
[null,292,"MEILE[G]","meile [geographische] ","7412.7","0","(M)","length","",17]
[null,293,"MEILE[NG]","meile [North Germany] ","7532.5","0","(M)","length","",17]
[null,294,"METRE","metre ","1","0","(M)","length","",17]
[null,295,"METRICMILE","metric mile ","1500","0","(M)","length","",17]
[null,296,"MG","megagram","1000","0","(KG)","mass","",11]
[null,297,"MI","mile, statute","1609.34721869444","0","(M)","length","x",17]
[null,298,"MICRO","multiplier, 1E-6","0.000001","0","(ITEM)","Multiplier","x",1]
[null,299,"MICRON","Micron","0.000001","0","(M)","length","x",17]
[null,300,"MIGLIO","miglio ","1488.6","0","(M)","length","",17]
[null,301,"MIIL[DA]","miil (mijl) [Danish] ","7500","0","(M)","length","",17]
[null,302,"MIIL[DE]","miil (mijl) [Denmark] ","7532.5","0","(M)","length","",17]
[null,303,"MIIL[S]","miil (mijl) [Sweden, ancient] ","10687","0","(M)","length","",17]
[null,304,"MIL","mil","0.0000254","0","(M)","length","x",17]
[null,305,"MIL[S]","mil [Sweden] ","10000","0","(M)","length","",17]
[null,306,"MILE[BRIT]","mile [Britain, ancient] ",{"$f":"UCFactorData($B309,E$3)","v":"1609"},"0","(M)","length","",17]
[null,307,"MILE[CHINA]","chinese mile ","557.21","0","(M)","length","",17]
[null,308,{"$f":"UCFactorData($B311,C$3)","v":"MILE[I]"},"mile [international] ","1609.344","0","(M)","length","",17]
[null,309,"MILE[IR]","mile [Irish] ","2048","0","(M)","length","",17]
[null,310,"MILE[NI]","mile [nautical, international] ","1852","0","(M)","length","",17]
[null,311,"MILE[NUK]","mile [nautical, UK] ","1853.184","0","(M)","length","",17]
[null,312,"MILE[NUS]","mile [nautical, US] ","1852","0","(M)","length","",17]
[null,313,"MILE[ROME]","mile [Roman, ancient] ","1520","0","(M)","length","",17]
[null,314,"MILE[S]","mile [Scottish] ","1814","0","(M)","length","",17]
[null,315,"MILE[SURV]","mile [survey, US] ","1609.3472187","0","(M)","length","",17]
[null,316,"MILE[USUK]","mile (us and uk)","1609.344","0","(M)","length","",17]
[null,317,"MILHA[P]","milha [Portuguese] ","2087.3","0","(M)","length","",17]
[null,318,"MILLA[S]","milla [Spanish] ","1392","0","(M)","length","",17]
[null,319,"MILLE[F]","mille [French] ","1949","0","(M)","length","",17]
[null,320,"MILLI","multiplier, 1E-3","0.001","0","(ITEM)","Multiplier","x",1]
[null,321,"MILLIARE","milliare [Rome] ","0.001478","0","(M)","length","",17]
[null,322,"MIN","minute","60","0","(S)","time","x",{"$f":"UCchkval(G325)","v":31}]
[null,323,"MIN[A]","minute (angle)","0.000290888208665722","0","(M/M)","angle","",1]
[null,324,"MJ","megajoule","1000000","0","((KG*M^2)/S^2)","energy","",3.3080124869927161]
[null,325,"MKONO","mkono [Africa] ","0.4572","0","(M)","length","",17]
[null,326,"ML","milliliter","0.000001","0","(M^3)","volume","",4913]
[null,327,"MM","millimeter","0.001","0","(M)","length","x",17]
[null,328,"MM[H2O]","mmh2o","9.80665","0","(KG/(M*S^2))","pressure","x",6.7331823468201016E-4]
[null,329,"MM[HG]","millimeter hg (60 F)","133.3224","0","(KG/(M*S^2))","pressure","x",6.7331823468201016E-4]
[null,330,"MMCF","million std cu ft gas","1195300","0","(MOL)","quantity","",19]
[null,331,"MMU","mmu, Muon rest mass","1.883566E-28","0","(KG)","constant","",11]
[null,332,"MN","meganewton","1000000","0","((KG*M)/S^2)","force","",0.19458896982310095]
[null,333,"MNR","mn, neutron rest mass","1.6749543E-27","0","(KG)","constant","",11]
[null,334,"MO","month","2628000","0","(S)","time","",31]
[null,335,"MOH","Moh, conductance","1","0","((AMP^2*S^3)/(KG*M^2))","electric","",234.27964768795218]
[null,336,"MOL","mole, amount of substance","1","0","(MOL)","quantity","x",19]
[null,337,"MOOT","moot [India] ","0.0762","0","(M)","length","",17]
[null,338,"MP","mp, protron rest mass","1.6726485E-27","0","(KG)","constant","",11]
[null,339,"MPA","megapascal","1000000","0","(KG/(M*S^2))","pressure","x",6.7331823468201016E-4]
[null,340,"MT","megatonne","1000000000","0","(KG)","mass","",11]
[null,341,"MU","Mu0, Permeability constant","12.56637061","0","((KG*M^2/(AMP^2*S^2))/M)","constant","",7.7835587929240375E-3]
[null,342,"MW","megawatt","1000000","0","((KG*M^2)/S^3)","power","",0.10671008022557148]
[null,343,"MYRIA","myria","10000","0","(M)","length","",17]
[null,344,"N","Newton force","1","0","((KG*M)/S^2)","force","x",0.19458896982310095]
[null,345,"NA","na, Avogadro's Constant","6.022045E+23","0","(ITEM/MOL)","constant","",5.2631578947368418E-2]
[null,346,"NAIL","nail ","0.05715","0","(M)","length","",17]
[null,347,"NANO","multiplier, 1E-9","0.000000001","0","(ITEM)","Multiplier","",1]
[null,348,"NAUTMI","Nautical Mile","1852","0","(M)",{"$f":"UCFactorData($B351,H$3)","v":"length"},"x",17]
[null,349,"NP","Neper","1","0","(ITEM)","multiplier","",1]
[null,350,"OHM","Ohm, electical resistance","1","0","((KG*M^2)/(AMP^2*S^3))","electric","x",4.2684032090228594E-3]
[null,351,"OZ","ounce (avoirdupois)","0.028349523","0","(KG)","mass","x",11]
[null,352,"OZ[T]","Ounce, troy","0.031103486","0","(KG)","mass","x",11]
[null,353,"P","poise, dynamic viscocity","0.1","0","(KG/(M*S))","viscocity","",2.0872865275142316E-2]
[null,354,"PA","pascal, pressure or stress","1","0","(KG/(M*S^2))","pressure","x",6.7331823468201016E-4]
[null,355,"PACE","pace","0.762","0","(M)","length","",17]
[null,356,"PACE[G]","pace [great] ","1.524","0","(M)","length","",17]
[null,357,"PACE[MIL]","military pace ","0.762","0","(M)","length","",17]
[null,358,"PACE[MIL2]","military pace [double time] ","0.9144","0","(M)","length","",17]
[null,359,"PACE[R]","pace [Roman] ","1.48","0","(M)","length","",17]
[null,360,"PALM[BR]","palm [Britain, Roman minor] ","0.075","0","(M)","length","",17]
[null,361,"PALM[D]","palm [Dutch] ","0.1","0","(M)","length","",17]
[null,362,"PALM[USR]","palm [US, Roman major] ","0.2286","0","(M)","length","",17]
[null,363,"PALMO[P]","palmo [Portuguese] ","0.22","0","(M)","length","",17]
[null,364,"PALMO[S]","palmo [Spanish] ","0.2","0","(M)","length","",17]
[null,365,"PALMO[T]","palmo [Texas] ","0.2117","0","(M)","length","",17]
[null,366,"PARASANG","parasang ","6000","0","(M)","length","",17]
[null,367,"PARISFT","Paris foot ","0.3248406","0","(M)","length","",17]
[null,368,"PARSEC","Parsec","30857200000000000","0","(M)","length","",17]
[null,369,"PE","pe [Portuguese] ","0.33324","0","(M)","length","",17]
[null,370,"PEARL","pearl ","0.0017573","0","(M)","length","",17]
[null,371,"PECK","peck ","0.008809768","0","(M^3)","volume","",4913]
[null,372,{"$f":"UCFactorData($B375,C$3)","v":"PERCH"},"perch ","5.0292","0","(M)","length","",17]
[null,373,"PERCH[I]","perch [Ireland] ","6.4008","0","(M)","length","",17]
[null,374,"PERTICA","pertica ","2.96","0","(M)","length","",17]
[null,375,"PES","pes ","0.2967","0","(M)","length","",17]
[null,376,"PETA","multiplier, 1E15","1000000000000000","0","(ITEM)","Multiplier","x",1]
[null,377,"PI","Pi, 3.1415926","3.141592654","0","(M/M)","constant","",1]
[null,378,"PICA","pica ","0.0042175","0","(M)","length","",17]
[null,379,"PICO","multiplier 1E-12","0.000000000001","0","(ITEM)","Multiplier","x",1]
[null,380,"PIE[A]","pie [Argentina] ","0.2889","0","(M)","length","",17]
[null,381,"PIE[I]","pie [Italian] ","0.298","0","(M)","length","",17]
[null,382,"PIE[S]","pie [Spanish] ","0.2786","0","(M)","length","",17]
[null,383,"PIE[T]","pie [Texas] ","0.2822","0","(M)","length","",17]
[null,384,"PIED","pied de roi ","0.3248406","0","(M)","length","",17]
[null,385,"PIK","pik ","0.71","0","(M)","length","",17]
[null,386,"PIKE[G]","pike [Greece] ","0.71","0","(M)","length","",{"$f":"UCchkval(G389)","v":17}]
[null,387,"PINT","Pint (US liquid)","0.000473176473","0","(M^3)","volume","x",4913]
[null,388,"PINT[UK]","pint(uk)","0.000568261","0","(M^3)","volume","",4913]
[null,389,"PINT[USDRY]","pint(dry us)","0.00055061","0","(M^3)","volume","",4913]
[null,390,"POLE","pole ","5.0292","0","(M)","length","",17]
[null,391,"POLEGADA","polegada [Portuguese] ",{"$f":"UCFactorData($B394,E$3)","v":"0.02777"},"0","(M)","length","",17]
[null,392,"POUNCE","pouce ","0.02707","0","(M)","length","",17]
[null,393,"POUND[A]","pound (avoirdupois)","0.45359237","0","(KG)","mass","",11]
[null,394,"POUND[T]","pound (troy)","0.37324172","0","(KG)","mass","",11]
[null,395,"POUNDAL","poundal","0.138255","0","((KG*M)/S^2)","force","",0.19458896982310095]
[null,396,"PSF","pound force per sq ft","47.88025898","0","(KG/(M*S^2))","pressure","x",6.7331823468201016E-4]
[null,397,"PSI","pound force per sq in","6894.757293","0","(KG/(M*S^2))","pressure","x",6.7331823468201016E-4]
[null,398,"PT[A]","point [Adobe] ","0.0003528","0","(M)","length","",17]
[null,399,"PT[BRIT]","point [Britain, US] ","0.00035","0","(M)","length","",17]
[null,400,"PT[DIDOT]","point [Didot] ","0.000377","0","(M)","length","",17]
[null,401,"PT[TEX]","point [TeX] ","0.0003515","0","(M)","length","",17]
[null,402,"PU","pu [China] ","1.7907","0","(M)","length","",17]
[null,403,"PULGADA","pulgada ","0.02365","0","(M)","length","",17]
[null,404,"PYGME","pygme [Greece] ","0.346","0","(M)","length","",17]
[null,405,"Q","Q ","0.00025","0","(M)","length","",17]
[null,406,"QT","quart (US liquid)","0.0009463264","0","(M^3)","volume","x",4913]
[null,407,"QT[UK]","quart(uk)","0.001136521","0","(M^3)","volume","",4913]
[null,408,"QT[USDRY]","quart(us dry)","0.00110122","0","(M^3)","volume","",4913]
[null,409,"QUAD","quadrant ","10001300","0","(M)","length","",17]
[null,410,"QUAD[A]","Quadrant or Right Angle","1.5707963267949","0","(M/M)","angle","",1]
[null,411,"QUARTER","quarter ","402.336","0","(M)","length","",17]
[null,412,"QUARTER[C]","quarter [cloth] ","0.2286","0","(M)","length","",17]
[null,413,"QUARTER[P]","quarter [print] ","0.00025","0","(M)","length","",17]
[null,414,"QUIRE","quire","25","0","(PP)","paper","",{"$error":"#NAME?"}]
[null,415,"DEGR","degrees Rankine","0.555555555555556","0","(DEGK)","temperature","x",7]
[null,416,"RAD","radian, plane angle","1","0","(M/M)","angle","x",1]
[null,417,"RAD[AD]","Rad, absorbed dose","0.01","0","(M^2/S^2)","nuclear","",0.3007284079084287]
[null,418,"RANGE","range ","9656.0833122","0","(M)","length","",17]
[null,419,"REAM","ream, standard","500","0","(PP)","paper","",{"$error":"#NAME?"}]
[null,420,"REAM[P]","ream, printer","516","0","(PP)","paper","",{"$error":"#NAME?"}]
[null,421,"REED","reed [Israel] ","2.679","0","(M)","length","",17]
[null,422,"REM","Rem, dose equivalent","0.01","0","(M^2/S^2)","nuclear","",0.3007284079084287]
[null,423,"REV","revolution","6.28318530717959","0","(M/M)","rotation","x",1]
[null,424,"RGC","Molar gas constant, ideal","8.31441","0","((((KG)*(M^2))/(S^2))/(MOL*DEGK))","constant","x",2.48722743382911E-2]
[null,425,"RI","ri [Japan] ","3927","0","(M)","length","",17]
[null,426,"RIDGE","ridge ","6.1722","0","(M)","length","",17]
[null,427,"RIVER","river [Egypt] ","2000","0","(M)","length","",17]
[null,428,"ROD","rod","5.0292","0","(M)","length","x",17]
[null,429,"ROD[S]","rod [survey] ","5.0292101","0","(M)","length","",17]
[null,430,"ROEDE","roede ","10","0","(M)","length","",17]
[null,431,"ROENTGN","Roentgen, specific electric charge","0.000258","0","(AMP*S/KG)","nuclear","",14.090909090909092]
[null,432,"ROOD","rood ","3.7783","0","(M)","length","",17]
[null,433,"ROPE","rope ","3.7783","0","(M)",{"$f":"UCFactorData($B436,H$3)","v":"length"},"",17]
[null,434,"ROYALFT","royal foot ","0.3248406","0","(M)","length","",17]
[null,435,"RPM","Revolution per minute","0.10471975511966","0","(M/M/S)","rotation","x",3.2258064516129031E-2]
[null,436,{"$f":"UCFactorData($B439,C$3)","v":"RUTE"},"rute [Germany] ","3.75","0","(M)","length","",17]
[null,437,"RY","R, Rydberg constant","10973731.77","0","(ITEM/M)","constant","",5.8823529411764705E-2]
[null,438,"S","second","1","0","(S)","time","x",31]
[null,439,"SADZHEN","sadzhen ","2.1336","0","(M)","length","",17]
[null,440,"SAGENE","sagene ","2.1336","0","(M)","length","",17]
[null,441,"SCF","std cu ft (60 F, 14.696 psi)","1.1953","0","(MOL)","quantity","",19]
[null,442,"SCM","std cu meter (60 F, 101.325 kpa)","42.2932","0","(MOL)","quantity","",19]
[null,443,"SCMZ","std cu meter (0 C, 101.325 kpa)","44.6158","0","(MOL)","quantity","",19]
[null,444,"SCOTFT","Scots foot ","0.30645","0","(M)","length","",17]
[null,445,"SCOTMILE","Scots mile ","1814.2","0","(M)","length","",17]
[null,446,"SCRUPLE","Scruple (Apothecaries)","0.0012959782","0","(KG)","mass","",11]
[null,447,"SEC[A]","second","4.84813681109536E-06","0","(M/M)","angle","",1]
[null,448,"SEEMEILE","seemeile ","1852","0","(M)","length","",17]
[null,449,"SHACKLE","shackle ","27.432","0","(M)","length","",17]
[null,450,"SHAFTMENT","shaftment ","0.15124","0","(M)","length","",{"$f":"UCchkval(G453)","v":17}]
[null,451,"SHAFTMENT[A]","shaftment [ancient] ","0.165","0","(M)","length","",17]
[null,452,"SHAKU","shaku ","0.303","0","(M)","length","",17]
[null,453,"SHT","sheet, paper","1","0","(PP)","paper","",{"$error":"#NAME?"}]
[null,454,"SIEMEN","Electric conductance","1","0","((AMP^2*S^3)/(KG*M^2))","electric","",234.27964768795218]
[null,455,"SIGMA","sigma, Stefan-Boltzmann constant","0.0000000567032","0","((KG*M^2/S^3)/(M^2*DEGK^4))","constant","",1.5378551933460753E-7]
[null,456,"SIRIO","sirio","149597870000000000","0","(M)","length","",17]
[null,457,"SLUG","slug = 32.17 lbm","14.593903","0","(KG)","mass","x",11]
[null,458,"SMOOT","smoot ","1.7018","0","(M)","length","",17]
[null,459,"SOLARMASS","solar mass","1.989E+30","0","(KG)","mass","",11]
[null,460,"SP[ALUM]","specific gravity [aluminum]","2720.9","0","(KG/M^3)","density","",2.2389578668837776E-3]
[null,461,"SP[BECU]","specific gravity [berylium copper]","8246.1","0","(KG/M^3)","density","",2.2389578668837776E-3]
[null,462,"SP[BRASS]","specific gravity [brass]","8579.3","0","(KG/M^3)","density","",2.2389578668837776E-3]
[null,463,"SP[CU]","specific gravity [copper]","8940.2","0","(KG/M^3)","density","",2.2389578668837776E-3]
[null,464,"SP[FIR]","specific gravity [douglas fir wood]","444.23","0","(KG/M^3)","density","",2.2389578668837776E-3]
[null,465,"SP[GCI]","specific gravity [cast iron, grey]","7218.8","0","(KG/M^3)","density","",2.2389578668837776E-3]
[null,466,"SP[GLASS]","specific gravity [glass]","2609.9","0","(KG/M^3)","density","",2.2389578668837776E-3]
[null,467,"SP[LEAD]","specific gravity [lead]","11411.3","0","(KG/M^3)","density","",2.2389578668837776E-3]
[null,468,"SP[MAGN]","specific gravity [magnesium]","1804.7","0","(KG/M^3)","density","",2.2389578668837776E-3]
[null,469,"SP[STEEL]","specific gravity [steel]","7857.4","0","(KG/M^3)","density","",2.2389578668837776E-3]
[null,470,"SPAN","span ","0.2286","0","(M)","length","",17]
[null,471,"SPAT","spat ","1000000000000","0","(M)","length","",17]
[null,472,"SPGR","specific gravity (h2o @ 60 F)","999.0412333","0","(KG/M^3)","density","x",2.2389578668837776E-3]
[null,473,"SR","Steradian, solid angle","1","0","(M^2/M^2)","angle","",1]
[null,474,"ST","stoke","0.0001","0","(M^2/S)","viscocity","",9.32258064516129]
[null,475,"STADIUM","stadium ","185","0","(M)","length","",17]
[null,476,"STEP","step ",{"$f":"UCFactorData($B479,E$3)","v":"0.762"},"0","(M)","length","",17]
[null,477,"STHENE","sthenes(=kN)","1000","0","((KG*M)/S^2)","force","",0.19458896982310095]
[null,478,"STICK","stick ","3.048","0","(M)","length","",17]
[null,479,"STONE","stone","6.36363636363637","0","(KG)","mass","",11]
[null,480,"STORY","story ","3.3","0","(M)","length","",17]
[null,481,"STRIDE[G]","stride [great] ","1.524","0","(M)","length","",17]
[null,482,"STRIDE[R]","stride [Roman] ","1.48","0","(M)","length","",17]
[null,483,"SUNMASS","Mass of Sun","1.99E+30","0","(KG)","constant","",11]
[null,484,"SUNRAD","Sun radiation rate","3.92E+26","0","(KG*M^2/S^3)","constant","",0.10671008022557148]
[null,485,"SUNRADIUS","Radius of Sun","696000000","0","(M)","constant","",17]
[null,486,"SUNTEMP","Temperature, sun surface","6000","0","(DEGK)","constant","",7]
[null,487,"SV","Sievert, dose equivalent","1","0","(M^2/S^2)","nuclear","",0.3007284079084287]
[null,488,"T","Tesla, Magnetic flux density","1","0","(KG/(AMP*S^2))","magnetic","",2.2892819979188346E-3]
[null,489,"TBLSP","tablespoon","0.000014787","0","(M^3)","volume","x",4913]
[null,490,"TERA","multiplier, 1E12","1000000000000","0","(ITEM)","Multiplier","x",1]
[null,491,"THERM","therm","105505585.257348","0","((KG*M^2)/S^2)","energy","x",3.3080124869927161]
[null,492,"THOU","thou ","0.0000254","0","(M)","length","",17]
[null,493,"TOISE","toise ","1.949","0","(M)","length","",17]
[null,494,"TON","ton (us or short)","907.18474","0","(KG)","mass","x",11]
[null,495,"TON[FORCE]","ton (US) force","8896.443231","0","((KG*M)/S^2)","force","",0.19458896982310095]
[null,496,"TON[FORCEUK]","ton force","9964.016418","0","((KG*M)/S^2)","force","",0.19458896982310095]
[null,497,"TON[LONG]","ton (uk or long)","1016.046909","0","(KG)","mass","",11]
[null,498,"TONAC","ton refridgeration (12000 BTU/hr)","3514.5","0","((KG*M^2)/S^3)","power","",0.10671008022557148]
[null,499,"TONNE","tonne (metric)","1000","0","(KG)","mass","",11]
[null,500,{"$f":"UCFactorData($B503,C$3)","v":"TONNE[FORCE]"},"tonne force","9806.65","0","((KG*M)/S^2)","force","",0.19458896982310095]
[null,501,"TONUK","long ton (2240 lbm)","1016.046909","0","(KG)","mass","",11]
[null,502,"TORR","torr (mm Hg 0 C)","133.322","0","(KG/(M*S^2))","pressure","x",6.7331823468201016E-4]
[null,503,"TOWN","township ","9656.0833122","0","(M)","length","",17]
[null,504,"TSP","teaspoon","0.000004929","0","(M^3)","volume","x",4913]
[null,505,"TSUN","t'sun ","0.0358","0","(M)","length","",17]
[null,506,"TU","tu ","161130","0","(M)","length","",17]
[null,507,"TWAIN","twain ","3.6576074","0","(M)","length","",17]
[null,508,"TWIP","twip ","0.0000176","0","(M)","length","",17]
[null,509,"U","U ","0.04445","0","(M)","length","",17]
[null,510,"UM","micrometer","0.000001","0","(M)","length","x",17]
[null,511,"V","Volt, energy per unit charge, potential difference, electromotive force","1","0","((KG*M^2)/(AMP*S^3))","electric","x",2.1342016045114296E-2]
[null,512,"VARA[C]","vara [California] ","0.8382017","0","(M)","length","",17]
[null,513,"VARA[M]","vara [Mexico] ","0.83802","0","(M)","length","",17]
[null,514,"VARA[P]","vara [Portuguese] ","1.1","0","(M)","length","",{"$f":"UCchkval(G517)","v":17}]
[null,515,"VARA[S]","vara [Spanish] ","0.83587","0","(M)","length","",17]
[null,516,"VARA[SA]","vara [South America] ","0.864","0","(M)","length","",17]
[null,517,"VARA[T]","vara [Texas] ","0.8466684","0","(M)","length","",17]
[null,518,"VERGE","verge ","0.9144","0","(M)",{"$f":"UCFactorData($B521,H$3)","v":"length"},"",17]
[null,519,"VERSHOK","vershok ","0.04445","0","(M)","length","",17]
[null,520,"VERST","verst ","1066.8","0","(M)","length","",17]
[null,521,"VM","Vm, Molar volume of ideal gas at 0C and 1 Atm","0.02241383","0","(M^3/(MOL))","constant","",258.57894736842104]
[null,522,"W","watt, power or radiant flux","1","0","((KG*M^2)/S^3)","power","x",0.10671008022557148]
[null,523,"WAH","wah [Thailand] ","2","0","(M)","length","",17]
[null,524,"WEBER","magnetic flux density integral","1","0",{"$f":"UCFactorData($B527,G$3)","v":"((KG*M^2)/(AMP*S^2))"},"magnetic","x",{"$f":"UCchkval(G527)","v":0.66160249739854315}]
[null,525,"WERST","werst ","1066.8","0","(M)","length","",17]
[null,526,"YD","yard","0.9144","0","(M)","length","x",17]
[null,527,"YD[CHINA]","chinese yard ","0.89154","0","(M)","length","",17]
[null,528,"YOCTO","multiplier, 1E-24","1E-24","0","(ITEM)","Multiplier","",1]
[null,529,"YOTTA","yotta","1E+25","0","(M)","length","",17]
[null,530,"YOTTA","Multiplier, 1E24","1E+24","0","(ITEM)","Multiplier","",1]
[null,531,"YR","year (mean Earth)","31557600","0","(S)","time","x",31]
[null,532,"ZEPTO","multiplier, 1E-21","1E-21","0","(ITEM)","Multiplier","",1]
[null,533,"ZETTA","zetta","1E+22","0","(M)","length","",17]
[null,534,"ZETTA","multiplier, 1E21","1E+21","0","(ITEM)","Multiplier","",1]
[null,535,"ZODIAC","Zodiac sign","0.523598775598299","0","(M/M)","angle","",1]
[null,536,"ZOLL[G]","zoll [Germany] ","0.02634","0","(M)","length","",17]
[null,537,"ZOLL[S]","zoll [Switzerland] ","0.03","0","(M)","length","",17]
[null,538,"TONTNT","energy of ton TNT ","4.184E9","0","((KG*M^2)/S^2)","energy","",3.3080124869927161]
[null,539,"JY","Jansky ","10E-27","0","(W/M^2/Hz)","energy flux","",1.1446409989594173E-2]
[null,540,"DRAM[AP]","Dram (apothecaries), mass ",".0038879346","0","(KG)","mass","",11]
[null,541,"USERA","User defined a","1.00","0","(USERA)","user defined a","",37]
[null,542,"USERB","User defined b","1.00","0","(USERB)","user defined b",null,43]
[null,543,"CUR[GBP]","currency [GBP] ",{"$f":"1/0.7582","v":1.3189132155104195},"0",{"$f":"UCFactorData($B546,G$3)","v":"(CUR)"},"currency",null,{"$f":"UCchkval(G546)","v":41}]
[null,544,"CUR[EU]","currency [EU] ",{"$f":"1/0.8858","v":1.1289230074508918},"0","(CUR)","currency",null,{"$f":"UCchkval(G547)","v":41}]
[null,545,"CUR[YEN]","currency [YEN] ",{"$f":"1/100.553","v":9.9450041271767122E-3},"0","(CUR)","currency",null,{"$f":"UCchkval(G548)","v":41}]
[null,546,"SHAKE","Atomic Time Unit",1E-8,{"$f":"\"0.0\"","v":"0.0"},"(S)","time",null,31]
[null,547,"LBMOL","User Defined - Pound Mole",453,{"$f":"\"0.0\"","v":"0.0"},"(MOL)","quantity",null,19]
[null,548,"CUR[ZAR]","Currency [South Africa Rand]",{"$f":"1/14.1943","v":7.0450814763672737E-2},{"$f":"\"0.0\"","v":"0.0"},"(CUR)","currency",null,41]
[null,549,{"$f":"UCFactorData($B552,C$3)","v":"CUR"},"currency USD ","1.00","0","(CUR)","currency","",41]
[null,550,"PPM","Parts per Million, 1E-6 (milli)","1E-6","0.000","(ITEM)","multiplier","",{"$f":"UCchkval(G553)","v":1}]
[null,551,"PPB","Parts per Billion, 1E-9 (nano)","1E-9","0.000","(ITEM)","multiplier","",1]
[null,552,"PPT","Parts per Trillion, 1E-12 (pico)","1E-12","0.000","(ITEM)","multiplier","",1]
[null,553,"~","Unity, multiplier ","1.000","0.000","(ITEM)","multiplier","",1]
[null,554,"LBTNT","energy of lb TNT ","1.9018E6","0","((KG*M^2)/S^2)","energy","",3.3080124869927161]
[null,555,"ELN","constant e (2.718...)","2.718281828459045","0.000","(ITEM)","constant","",{"$f":"UCchkval(G558)","v":1}]
[null,556,"PPQ","Parts per Quadrillion, 1E-15 (femto)","1E-15","0.000","(ITEM)","group","",1]
[null,557,"PCT","Percent, 1E-2 (centi)","1E-2","0.000","(ITEM)","group","",1]
[null,558,"HZR","Hertz, rotation, (revolution)/second","6.28318530717959","0","(M/M/S)","rotation","",3.2258064516129031E-2]
[null,559,"NAME[08]","new unit, unit type ","0.000","0.000","(ITEM)","group","",1]
[null,560,"NAME[09]","new unit, unit type ","0.000","0.000","(ITEM)","group","",1]
[null,561,{"$f":"UCFactorData($B564,C$3)","v":""},"","","","","","",{"$error":"#VALUE!"}]
[]
[]
[null,null,"2016-08-25",null,"http://finance.yahoo.com/currency"]
[null,null,"NIST Weights and Measures"]
[null,null,"The red cell currency rates can be updated by you as often as needed.  1.0 US Dollar = 1.00 CUR.  "]
[null,null,"The EXCEL > DATA > FILTER > AUTO FILTER is used to search the name list."]
[null,null,"Common units are listed with \"x\" in the rightmost column.  The list can be filtered on this to make it shorter.  "]
[null,null,"You can add or modify this column to suit your own needs."]
[]
[null,"Rec","Name","Description","Factor","Bias","Base","Type","Fav","chkval"]
[null,"-",1,2,3,4,5,6,7,"-"]
[null,1,"ACRE","Area - acre","4046.8564","0","(M^2)","area","x"]
[null,2,"ACREFT","acre-foot","1233.4818","0","(M^3)","volume","",1]
[null,3,"AGATE","agate [Adobe] ","0.0003528","0","(M)","length","",1]
[null,4,"ALEN[DAN]","alen [Danish] ","0.6277","0","(M)","length","",1]
[null,5,"ALEN[SC]","alen [Scandinavia] ","0.6","0","(M)","length","",1]
[null,6,"ALEN[SW]","alen [Swedish] ","0.5938","0","(M)","length","",1]
[null,7,"AMP","ampere electric current","1","0","(AMP)","electric","x",1]
[null,8,"AMU","atomic mass unit (unified, physical)","1.66054021E-27","0","(KG)","mass ","",1]
[null,9,"ANGSTROM","angstrom","0.0000000001","0","(M)","length","x",1]
[null,10,"ARE","Are, area of land","100","0","(M^2)","area","",1]
[null,11,"ARMLEN","arms-length ","0.7","0","(M)","length","",289]
[null,12,"ARPENT[C]","arpent [Canada] ","58.47","0","(M)","length","",289]
[null,13,"ARPENT[F]","arpent [France] ","58.471308","0","(M)","length","",289]
[null,14,"ARSHEEN","arsheen [Russia] ","0.7112","0","(M)","length","",289]
[null,15,"ARSHIN[IRAN]","arshin [iran] ","1.04","0","(M)","length","",289]
[null,16,"ARSHIN[IRAQ]","arshin [iraq] ","74.5","0","(M)","length","",289]
[null,17,"ATM","atmosphere","101325","0","(KG/(M*S^2))","pressure","x",0.61290322580645162]
[null,18,"ATTO","multiplier, 1E-18","0.000000000000000001","0","(ITEM)","Multiplier","",1445]
[null,19,"AU","astronomical unit ","149597870300","0","(M)","length","",2.2892819979188346E-3]
[null,20,"B","Bel","1.15129254649702","0","(ITEM)","Multiplier","",17]
[null,21,"BAMBOO","bamboo ","3.2","0","(M)","length","",17]
[null,22,"BAR","bar","100000","0","(KG/(M*S^2))","pressure","x",17]
[null,23,"BARLY","barlycorn","0.008467","0","(M)","length","",3.6923903192239267E-4]
[null,24,"BARN","Barn, area","1E-28","0","(M^2)","area","",155]
[null,25,"BBL","barrel, petrolium","0.1589872949","0","(M^3)","volume","",1]
[null,26,"BCF","billion std cu ft of gas","1195300000","0","(MOL)","quantity","",427.21582813685399]
[null,27,"BDFT","board feet","0.0023597372","0","(M^3)","volume","",8.1578947368421044]
[null,28,"BEESP","bee space ","0.0065","0","(M)","length","",1.7689906347554629E-2]
[null,29,"BLK[E]","block [East US] ","80.4672","0","(M)","length","",1]
[null,30,"BLK[MID]","block [Midwest US] ","100.584","0","(M)","length","",0.46476208494938986]
[null,31,"BLK[SW]","block [South, West US] ","160.9344","0","(M)","length","",102.54838709677419]
[null,32,"BOLT","bolt of cloth","36.576","0","(M)","length","",0.47257321242753086]
[null,33,"BQ","Becquerel, radionuclide activity","1","0","(ITEM/S)","nuclear","",17]
[null,34,"BRAC[IT]","braccio [Italy] ","0.7","0","(M)","length","",11]
[null,35,"BRAZ[A]","braza [Argentina] ","1.733","0","(M)","length","",11]
[null,36,"BRAZ[S]","braza [Spain] ","1.67","0","(M)","length","",11]
[null,37,"BRAZ[T]","braza [Texas] ","1.693","0","(M)","length","",11]
[null,38,"BTU","british thermal unit","1055.055853","0","((KG*M^2)/S^2)","energy","x",7.7835587929240375E-3]
[null,39,"BTU[MEAN]","btu(mean)","1055.87","0","((KG*M^2)/S^2)","energy","",5.2631578947368418E-2]
[null,40,"BTU[TH]","btu(th)","1054.35","0","((KG*M^2)/S^2)","energy","",1]
[null,41,"BUNDLE","bundle, paper","1000","0","(PP)","paper","",2.48722743382911E-2]
[null,42,"BUSHEL","bushel (US)","0.03523907","0","(M^3)","volume","x",5.8823529411764705E-2]
[null,43,"BUSHEL[UK]","bushel(uk)","0.03636872","0","(M^3)","volume","",1.5378551933460753E-7]
[null,44,"BUTM","button measure ","0.000635","0","(M)","length","",11]
[null,45,"DEGC","degrees Celsius","1","-273.15","(DEGK)","temperature","x",0.10671008022557148]
[null,46,"CAB","cable","182.88","0","(M)","length","",17]
[null,47,"CAB[UK]","cable [British] ","185.3184","0","(M)","length","",7]
[null,48,"CAB[US]","cable [U.S.] ","219.456","0","(M)","length","",258.57894736842104]
[null,49,"CAL","calorie","4.1868","0","((KG*M^2)/S^2)","energy","x",41]
[null,50,"CAL[15C]","calorie(15C)","4.1858","0","((KG*M^2)/S^2)","energy","",41]
[null,51,"CAL[20C]","calorie(20C)","4.1819","0","((KG*M^2)/S^2)","energy","",41]
[null,52,"CAL[MEAN]","calorie(mean)","4.19002","0","((KG*M^2)/S^2)","energy","",41]
[null,53,"CAL[TH]","calorie(th)","4.184","0","((KG*M^2)/S^2)","energy","",1]
[null,54,"CALIBER","caliber ","0.0254","0","(M)","length","",2.2389578668837776E-3]
[null,55,"CALORIE[FOOD]","calorie(food)","4186","0","((KG*M^2)/S^2)","energy","x",2.2389578668837776E-3]
[null,56,"CANA","cana (canna, canne) ","2","0","(M)","length","",2.2389578668837776E-3]
[null,57,"CAPEFT","cape foot ","0.314858","0","(M)","length","",2.2389578668837776E-3]
[null,58,"CAPEIN","cape inch ","0.0262382","0","(M)","length","",2.2389578668837776E-3]
[null,59,"CAPEROOD","cape rood ","3.778296","0","(M)","length","",2.2389578668837776E-3]
[null,60,"CARAT","Carat","0.0002","0","(KG)","mass","x",2.2389578668837776E-3]
[null,61,"CASE[P]","case, paper","4000","0","(PP)","paper","",2.2389578668837776E-3]
[null,62,"CBLK[EUS]","city block [East U.S.] ","80.4672","0","(M)","length","",2.2389578668837776E-3]
[null,63,"CBLK[M]","city block [Midwest U.S.] ","100.584","0","(M)","length","",2.2389578668837776E-3]
[null,64,"CBLK[SW]","city block [South, West U.S.] ","160.9344","0","(M)","length","",2.2389578668837776E-3]
[null,65,"CC","cubic centimeters","0.000001","0","(M^3)","volume","x",5]
[null,66,"CD","Candlela, luminous intensity","1","0","(CD)","luminesence","x",155]
[null,67,"CENT[HEAT]","centigrade heat","1900.4","0","((KG*M^2)/S^2)","energy","",7262.6690783265176]
[null,68,"CENTAL","cental","45.359237","0","(KG)","mass","",0.13232049947970864]
[null,69,"CENTI","multiplier, 1E-2","0.01","0","(ITEM)","Multiplier","x",234.27964768795218]
[null,70,"CHAIN","chain [Gunter, survey] ","20.1168402","0","(M)","length","x",4.2684032090228594E-3]
[null,71,"CHAIN[RAM]","chain [Ramsden, engineer] ","30.48","0","(M)","length","",234.27964768795218]
[null,72,"CHAIN[SUR]","chain (surveyor)","20.11684","0","(M)","length","",2.1342016045114296E-2]
[null,73,"CHIH","ch'ih [China] ","0.35814","0","(M)","length","",3.3080124869927161]
[null,74,"CIRCLE","full circle","6.2831853071796","0","(M/M)","angle","x",3.3080124869927161]
[null,75,"CLICK","click [U.S. military] ","1000","0","(M)","length","",3.3080124869927161]
[null,76,"CM","centimeter","0.01","0","(M)","length","x",3.3080124869927161]
[null,77,"CM[H2O]","cm water","98.0665","0","(KG/(M*S^2))","pressure","",3.3080124869927161]
[null,78,"CM[HG]","cm mercury","1333.22","0","(KG/(M*S^2))","pressure","",3.3080124869927161]
[null,79,"CORD","Cord","3.6245734","0","(M^3)","volume","",3.3080124869927161]
[null,80,"CORDFT","Cord foot","0.453072263900146","0","(M^3)","volume","",3.3080124869927161]
[null,81,"COULOMB","Charge, quantity of electricity","1","0","(AMP*S)","electric","x",3.3080124869927161]
[null,82,"CP","centipoise, viscocity","0.001","0","(KG/(M*S))","viscocity","x",3.3080124869927161]
[null,83,"CST","centistoke","0.000001","0","(M^2/S)","viscocity","x",3.3080124869927161]
[null,84,"CUADRA","cuadra ","84","0","(M)","length","",3.3080124869927161]
[null,85,"CUADRA[A]","cuadra [Argentina] ","130","0","(M)","length","",3.3080124869927161]
[null,86,"CUBIT","cubit","0.4572","0","(M)","length","",3.3080124869927161]
[null,87,"CUBIT[EG]","cubit [Egyption] ","0.45","0","(M)","length","",3.3080124869927161]
[null,88,"CUBIT[RE]","cubit [Royal Egyptian] ","0.5235","0","(M)","length","",3.3080124869927161]
[null,89,"CUBIT[ROME]","cubit [Roman] ","0.444","0","(M)","length","",3.3080124869927161]
[null,90,"CUERDA","cuerda ","21","0","(M)","length","",3.3080124869927161]
[null,91,"CUP","cup","0.000236588","0","(M^3)","volume","x",3.3080124869927161]
[null,92,"CURIE","Curie, radionuclide activity","37000000000","0","(ITEM/S)","nuclear","",3.3080124869927161]
[null,93,"CYCLE","revolution","6.2831853071796","0","(M/M)","angle","x",1.1446409989594173E-2]
[null,94,"DAM","Dam, length","10","0","(M)","length","",0.19458896982310095]
[null,95,"DARCY","darcy","9.869233E-13","0","(M^2)","area","",0.19458896982310095]
[null,96,"DAY","day (mean Earth)","86400","0","(S)","time","x",0.19458896982310095]
[null,97,"DECI","multiplier, 1E-1 ","0.1","0","(ITEM)","Multiplier","x",0.19458896982310095]
[null,98,"DEG","degrees","0.0174532925199433","0","(M/M)","angle","x",0.19458896982310095]
[null,99,"DEKA","multiplier, 1E1","10","0","(ITEM)","Multiplier","x",0.19458896982310095]
[null,100,"DIDOT","didot point ","0.000377","0","(M)","length","",0.19458896982310095]
[null,101,"DIGIT","digit ","0.019","0","(M)","length","",0.19458896982310095]
[null,102,"DIRAA[E]","diraa [Egypt] ","0.58","0","(M)","length","",0.19458896982310095]
[null,103,"DONG[V]","dong [Vietnam] ","0.0233333","0","(M)","length","",0.19458896982310095]
[null,104,"DOUZ[P]","douzième [print] ","0.0001764","0","(M)","length","",0.19458896982310095]
[null,105,"DOUZ[W]","douzième [watchmaking] ","0.000188","0","(M)","length",""]
[null,106,"DRA[IRAQ]","dra [Iraq] ","0.745","0","(M)","length",""]
[null,107,"DRA[RUS]","dra [Russia] ","0.7112","0","(M)","length",""]
[null,108,"DRAM","Dram, fluid capacity or volume","3.696691E-6","0","(M^3)","volume",""]
[null,109,"DRAM[AV]","Dram (avoirdupois)",".0017718452","0","(KG)","mass","",17]
[null,110,"DYNE","dyne","0.00001","0","((KG*M)/S^2)","force","x",17]
[null,111,"EC","e, Elementary Charge, electron","1.6021892E-19","0","(AMP*S)","constant","",17]
[null,112,"EARTHMASS","earth mass","5.98E+24","0","(KG)","mass","",17]
[null,113,"EARTHMDM","Earth Magnetic dipole moment","8.1E+22","0","(AMP*M^2)","constant","",17]
[null,114,"EARTHMF","Earth magnetic field","0.000057","0","(KG/(AMP*S^2))","constant","",17]
[null,115,"EARTHRE","Radius of Earth, equator","6378000","0","(M)","constant","",17]
[null,116,"EARTHRM","Radius of Earth, mean","6370000","0","(M)","constant","",17]
[null,117,"EARTHRP","Radius of Earth, poles","6357000","0","(M)","constant","",17]
[null,118,"EARTHSR","Solar radiation on Earth","1340","0","((KG*M^2/S^3)/M^2)","constant","",17]
[null,119,"EL[D]","el [Dutch] ","0.69","0","(M)","length","",17]
[null,120,"ELL[ENG]","ell [English] ","1.143","0","(M)","length","",17]
[null,121,"ELL[S]","ell [Scotland] ","0.945","0","(M)","length","",17]
[null,122,"ELLE[G]","elle [Germany] ","0.6","0","(M)","length","",17]
[null,123,"ELLE[V]","elle [Vienna] ","0.7793","0","(M)","length","",17]
[null,124,"ELLS[UK]","ells (UK)","0.875","0","(M)","length","",17]
[null,125,"EM","em ","0.0042175","0","(M)","length","",17]
[null,126,"EMS","ems (pica)","0.004233","0","(M)","length","",17]
[null,127,"EPSILON","Epsilon0, Permittivity","8.854187818E-12","0","((AMP^2*S^4/(KG*M^2))/M)","constant","",17]
[null,128,"ERG","erg","0.0000001","0","((KG*M^2)/S^2)","energy","",17]
[null,129,"ESTADO[P]","estadio [Portugal] ","261","0","(M)","length","",17]
[null,130,"ESTADO[S]","estadio [Spain] ","174","0","(M)","length","",17]
[null,131,"EV","Electron volt","1.6E-19","0","((KG*M^2)/S^2)","energy","x",17]
[null,132,"EXA","multiplier, 1E18","1000000000000000000","0","(ITEM)","Multiplier","",17]
[null,133,"DEGF","degrees Farenheight","0.555555555555556","-459.67","(DEGK)","temperature","x",17]
[null,134,"F[16]","Fraction, 1/16, sixteenth","0.0625","0","(ITEM)","Multiplier","x",17]
[null,135,"F[2]","Fraction, 1/2, half","0.5","0","(ITEM)","Multiplier","x",17]
[null,136,"F[32]","Fraction, 1/32, thirtysecond","0.03125","0","(ITEM)","Multiplier","x",17]
[null,137,"F[4]","Fraction, 1/4, quarter or fourth","0.25","0","(ITEM)","Multiplier","x",17]
[null,138,"F[64]","Fraction, 1/64, sixtyfourth","0.015625","0","(ITEM)","Multiplier","x",17]
[null,139,"F[8]","Fraction, 1/8, eighth","0.125","0","(ITEM)","Multiplier","x",17]
[null,140,"FADEN[A]","faden [Austria] ","1.8965","0","(M)","length","",17]
[null,141,"FADEN[S]","faden [Switzerland] ","1.8","0","(M)","length","",17]
[null,142,"FALL[ENG]","fall [English] ","6.858","0","(M)","length","",17]
[null,143,"FALL[S]","fall [Scotland] ","5.67","0","(M)","length","",17]
[null,144,"FARAD","capacitance, electrical","1","0","((AMP^2*S^4)/(KG*M^2))","electric","",17]
[null,145,"FATHOM","fathom","1.8288","0","(M)","length","x",17]
[null,146,"FATHOM[A]","fathom [ancient] ","1.829","0","(M)","length","",17]
[null,147,"FAUST[H]","faust [Hungary] ","0.10536","0","(M)","length","",17]
[null,148,"FC","Fc, Faraday constant","96484.56","0","((AMP*S)/(MOL))","constant","",17]
[null,149,"FEMTO","multiplier, 1E-15","0.000000000000001","0","(ITEM)","Multiplier","",17]
[null,150,"FINBRTH","fingerbreadth ","0.01905","0","(M)","length","",17]
[null,151,"FINGER","finger ","0.1143","0","(M)","length","",17]
[null,152,"FIST","fist ","0.1","0","(M)","length","",17]
[null,153,"FLOZ","Fluid Ounce","0.00002957373","0","(M^3)","volume","x",17]
[null,154,"FLOZ[UK]","floz(uk)","0.000028413","0","(M^3)","volume","",17]
[null,155,"FOD","fod ","0.3141","0","(M)","length","",17]
[null,156,"FT","feet","0.304800609601219","0","(M)","length","x",17]
[null,157,"FT[CHINA]","chinese foot ","0.371475","0","(M)","length","",17]
[null,158,"FT[CPRE]","feet [pre-1963 Canada] ","0.325","0","(M)","length","",17]
[null,159,"FT[E]","feet [Egypt] ","0.36","0","(M)","length","",17]
[null,160,"FT[F]","feet [France] ","0.3248406","0","(M)","length","",17]
[null,161,"FT[H2O]","foot of water","2988.98","0","(KG/(M*S^2))","pressure","x",17]
[null,162,"FT[IRAQ]","feet [iraq] ","0.316","0","(M)","length","",17]
[null,163,"FT[N]","feet [Netherlands] ","0.28313","0","(M)","length","",17]
[null,164,"FT[ROME]","feet [Rome] ","0.296","0","(M)","length","",17]
[null,165,"FT[SURV]","feet [survey] ","0.3048006","0","(M)","length","",17]
[null,166,"FT[US]","feet [international, U.S.] ","0.3048","0","(M)","length","",17]
[null,167,"FT[USSURV]","ft (us survey)","0.304801","0","(M)","length","",17]
[null,168,"FTBFLD[C]","football field [Canada] ","100.584","0","(M)","length","",17]
[null,169,"FTBFLD[US]","football field [U.S.] ","91.44","0","(M)","length","",17]
[null,170,"FTBFLD[USC]","football field [U.S., complete] ","109.728","0","(M)","length","",17]
[null,171,"FTCANDLE","Foot-Candle","10.76391","0","(((M^2/M^2)*CD)/M^2)","luminesence","x",17]
[null,172,"FTPOUNDAL","ft poundal","0.04214","0","((KG*M^2)/S^2)","energy","",17]
[null,173,"FURLONG","furlong","201.168","0","(M)","length","x",17]
[null,174,"FURLONG[S]","furlong [survey] ","201.1684023","0","(M)","length","",17]
[null,175,"FUSS[G]","fuss [German] ","0.31608","0","(M)","length","",17]
[null,176,"G","gravity acceleration","9.80665","0","(M/S^2)","constant","x",17]
[null,177,"GAL","gallon (us liquid)","0.003785411784","0","(M^3)","volume","x",17]
[null,178,"GAL[USDRY]","gal(us dry)","0.004404884","0","(M^3)","volume","x",17]
[null,179,"GALUK","gallon (uk)","0.004546087","0","(M^3)","volume","",17]
[null,180,"GAUSS","Magnetic flux density","0.0001","0","(KG/(AMP*S^2))","magnetic","",17]
[null,181,"GC","Gravity Correction Factor","1","0","(KG*M/(((KG*M)/S^2)*S^2))","constant","",17]
[null,182,"GIGA","multiplier, 1E9","1000000000","0","(ITEM)","Multiplier","x",17]
[null,183,"GILL","Gill","0.00011829492","0","(M^3)","volume","",17]
[null,184,"GM","gram","0.001","0","(KG)","mass","x",17]
[null,185,"GNATEYE","gnat's eye ","0.000125","0","(M)","length","",17]
[null,186,"GOAD","goad ","1.3716","0","(M)","length","",17]
[null,187,"GRAIN","grains","0.00006479891","0","(KG)","mass","",17]
[null,188,"GRAV","Gravity constant","0.00000000006672","0","(M^3/(S^2*KG))","constant","",17]
[null,189,"GRAY","Absorbed dose, specific energy, kerma","1","0","(M^2/S^2)","nuclear","",17]
[null,190,"GROSS","12 dozen, 144","144","0","(ITEM)","Multiplier","x",17]
[null,191,"GRY","gry ","0.0002117","0","(M)","length","",17]
[null,192,"H","h, Planck constant","6.626176E-34","0","(KG*M^2/S)","constant","",17]
[null,193,"HAIRBRDTH","hair's breadth ","0.0001","0","(M)","length","",17]
[null,194,"HAND","hand","0.1016","0","(M)","length","",17]
[null,195,"HAND[NONE]","hand [non-equine] ","0.1016","0","(M)","length","",17]
[null,196,"HANDBRTH","handbreadth ","0.08","0","(M)","length","",17]
[null,197,"HAT[C]","hat [Cambodia] ","0.5","0","(M)","length","",17]
[null,198,"HDWT","hundredweight","45.4545454545455","0","(KG)","mass","",17]
[null,199,"HECTARE","hectare, area of land","10000","0","(M^2)","area","x",17]
[null,200,"HECTO","multiplier, 1E2","100","0","(ITEM)","Multiplier","x",17]
[null,201,"HEER","heer ","73.152","0","(M)","length","",17]
[null,202,"HENRY","electrical inductance","1","0","((KG*M^2)/(AMP^2*S^2))","electric","",17]
[null,203,"HP","horsepower (550 ft*lbf/s)","745.699872","0","((KG*M^2)/S^3)","power","x",17]
[null,204,"HP[ELEC]","hp(electric)","746","0","((KG*M^2)/S^3)","power","",17]
[null,205,"HP[H2O]","hp(water)","746.043","0","((KG*M^2)/S^3)","power","",17]
[null,206,"HP[M]","hp(metric)","735.4988","0","((KG*M^2)/S^3)","power","",17]
[null,207,"HR","hour","3600","0","(S)","time","x",17]
[null,208,"HUBBLE","hubble ","9.4605E+50","0","(M)","length","",17]
[null,209,"HVAT[C]","hvat [Croatia] ","1.8965","0","(M)","length","",17]
[null,210,"HZ","Hertz, frequency, (rad)/second","1.00","0","(S^-1)","rotation","x",17]
[null,211,"IN","inch","0.0254","0","(M)","length","x",17]
[null,212,"IN[CHINA]","chinese inch ","0.0371475","0","(M)","length","",17]
[null,213,"IN[H2O]","inch of water (60 F)","248.84","0","(KG/(M*S^2))","pressure","",17]
[null,214,"IN[HG]","inch of hg (60 F)","3376.85","0","(KG/(M*S^2))","pressure","",17]
[null,215,"IRON","iron ","0.0005292","0","(M)","length","",17]
[null,216,"ITEM","Any individual item, dimensionless","1","0","(ITEM)","quantity","x",17]
[null,217,"J","joule, energy, work or quentity of heat","1","0","((KG*M^2)/S^2)","energy","x",17]
[null,218,"DEGK","degrees Kelvin","1","0","(DEGK)","temperature","x",17]
[null,219,"KAT","Katal, catalytic activity","1","0","(MOL/S)","chemical","",17]
[null,220,"KC","k, Boltzman constant","1.380662E-23","0","((KG*M^2/S^2)/DEGK)","constant","",17]
[null,221,"KCAL","kilocalarie (ist)","4186.8","0","((KG*M^2)/S^2)","energy","",17]
[null,222,"KEN[J]","ken [Japan] ","1.818","0","(M)","length","",17]
[null,223,"KERAT","kerat ","0.0286","0","(M)","length","",17]
[null,224,"KG","kilogram","1","0","(KG)","mass","x",17]
[null,225,"KGF","kilogram force","9.80665","0","((KG*M)/S^2)","force","",17]
[null,226,"KILO","multiplier, 1E3","1000","0","(ITEM)","Multiplier","x",17]
[null,227,"KIND","kind ","0.5","0","(M)","length","",17]
[null,228,"KIP","1000 pound force","4448.2216765935","0","((KG*M)/S^2)","force","x",17]
[null,229,"KJ","kilojoule","1000","0","((KG*M^2)/S^2)","energy","",17]
[null,230,"KLAFTER[A]","klafter [Austria] ","1.8965","0","(M)","length","",17]
[null,231,"KLAFTER[S]","klafter [Switzerland] ","1.8","0","(M)","length","",17]
[null,232,"KLICK","klick ","1000","0","(M)","length","",17]
[null,233,"KM","kilometer","1000","0","(M)","length","x",17]
[null,234,"KMOL","kilomole","1000","0","(MOL)","quantity","",17]
[null,235,"KNOT","Knot","0.51444444444444","0","(M/S)","velocity","x",17]
[null,236,"KNOT[UK]","knot(uk)","0.51477","0","(M/S)","velocity","",17]
[null,237,"KPA","kilopascal","1000","0","(KG/(M*S^2))","pressure","",17]
[null,238,"KSI","kip per sq inch","6854757.2","0","(KG/(M*S^2))","pressure","",17]
[null,239,"KT","kilotonne","1000000","0","(KG)","mass","",17]
[null,240,"KW","kilowatt","1000","0","((KG*M^2)/S^3)","power","x",17]
[null,241,"KYU","kyu ","0.00025","0","(M)","length","",17]
[null,242,"L","liter","0.001","0","(M^3)","volume","x",17]
[null,243,"L[OLD]","L(1901-1964)","0.001000028","0","(M^3)","volume","",17]
[null,244,"LAMBDAC","Lambda-c, Electron Compton wavelength","2.4263089E-12","0","(M)","constant","",17]
[null,245,"LAP[COMP]","lap [competition] ","400","0","(M)","length","",17]
[null,246,"LAP[OLD]","lap [old] ","402.336","0","(M)","length","",17]
[null,247,"LAP[OLYPOOL]","lap [olympic pool] ","100","0","(M)","length","",17]
[null,248,"LBF","pound force","4.44822167659347","0","((KG*M)/S^2)","force","x",17]
[null,249,"LBM","pound mass","0.45359237","0","(KG)","mass","x",17]
[null,250,"LEAGUE","league [US statute] ","4828.0417","0","(M)","length","",17]
[null,251,"LEAGUE[AC]","league [ancient Celtic] ","2275","0","(M)","length","",17]
[null,252,"LEAGUE[N]","league [nautical] ","5556","0","(M)","length","",17]
[null,253,"LEAGUE[UK]","league [UK] ","4828","0","(M)","length","",17]
[null,254,"LEAGUE[UKN]","league [UK nautical] ","5559.552","0","(M)","length","",17]
[null,255,"LEAP","leap ","2.0574","0","(M)","length","",17]
[null,256,"LEGOA","legoa ","6174.1","0","(M)","length","",17]
[null,257,"LEGUA","legua ","4200","0","(M)","length","",17]
[null,258,"LEGUA[S]","legua [Spanish, post-1568] ","6680","0","(M)","length","",17]
[null,259,"LEGUA[SPRE]","legua [Spanish, pre-1568] ","4179.4","0","(M)","length","",17]
[null,260,"LEGUA[T]","legua [Texas] ","4233.4","0","(M)","length","",17]
[null,261,"LHDWT","Long Hundredweight","50.802345","0","(KG)","mass","",17]
[null,262,"LI[AC]","li [ancient China] ","500","0","(M)","length","",17]
[null,263,"LI[IC]","li [imperial China] ","644.65","0","(M)","length","",17]
[null,264,"LI[MC]","li [modern China] ","500","0","(M)","length","",17]
[null,265,"LIEUE[F]","lieue [France] ","3898","0","(M)","length","",17]
[null,266,"LIEUE[FM]","lieue [France, metric] ","4000","0","(M)","length","",17]
[null,267,"LIEUE[FN]","lieue [France, nautical] ","5556","0","(M)","length","",17]
[null,268,"LIGHT","speed of light","299790000","0","(M/S)","velocity","x",17]
[null,269,"LIGHTYR","Light-Year","9460528405000000","0","(M)","length","x",17]
[null,270,"LIGNE[F]","ligne [France] ","0.0021167","0","(M)","length","",17]
[null,271,"LIGNE[S]","ligne [Swiss] ","0.002256","0","(M)","length","",17]
[null,272,"LINE","line ","0.0021167","0","(M)","length","",17]
[null,273,"LINE[S]","line [small] ","0.000635","0","(M)","length","",17]
[null,274,"LINK","Link (Survey)","0.201168","0","(M)","length","",17]
[null,275,"LINK[GUN]","link [Gunter, survey] ","0.2011684","0","(M)","length","",17]
[null,276,"LINK[RAM]","link [Ramden, engineer] ","0.3048","0","(M)","length","",17]
[null,277,"LM","Lumen, Luminous flux","1","0","((M^2/M^2)*CD)","luminesence","x",17]
[null,278,"LUG","lug ","5.0292","0","(M)","length","",17]
[null,279,"LUG[G]","lug [great] ","6.4008","0","(M)","length","",17]
[null,280,"LX","Lux, Illuminance","1","0","(CD*(M^2/M^4))","luminesence","x",17]
[null,281,"M","meter","1","0","(M)","length","x",17]
[null,282,"M[H2O]","meter water","9806.65","0","(KG/(M*S^2))","pressure","",17]
[null,283,"MACH[s]","mach(isa/sl)","340.2933","0","(M/S)","velocity","x",17]
[null,284,"MARATHON","marathon ","42194.988","0","(M)","length","",17]
[null,285,"MARKT","mark twain ","3.6576074","0","(M)","length","",17]
[null,286,"MBAR","millibar","100","0","(KG/(M*S^2))","pressure","x",17]
[null,287,"MCF","thousand std cu ft gas","1195.3","0","(MOL)","quantity","",17]
[null,288,"MD","millidarcy","9.869233E-16","0","(M^2)","area","",17]
[null,289,"ME","Me, Electron Rest Mass","9.109534E-31","0","(KG)","constant","",17]
[null,290,"MEGA","multiplier, 1E6","1000000","0","(ITEM)","Multiplier","",17]
[null,291,"MEILE[A]","meile [Austria] ","7586","0","(M)","length","",17]
[null,292,"MEILE[G]","meile [geographische] ","7412.7","0","(M)","length","",17]
[null,293,"MEILE[NG]","meile [North Germany] ","7532.5","0","(M)","length","",17]
[null,294,"METRE","metre ","1","0","(M)","length","",17]
[null,295,"METRICMILE","metric mile ","1500","0","(M)","length","",17]
[null,296,"MG","megagram","1000","0","(KG)","mass","",17]
[null,297,"MI","mile, statute","1609.34721869444","0","(M)","length","x",17]
[null,298,"MICRO","multiplier, 1E-6","0.000001","0","(ITEM)","Multiplier","x",17]
[null,299,"MICRON","Micron","0.000001","0","(M)","length","x",17]
[null,300,"MIGLIO","miglio ","1488.6","0","(M)","length","",17]
[null,301,"MIIL[DA]","miil (mijl) [Danish] ","7500","0","(M)","length","",17]
[null,302,"MIIL[DE]","miil (mijl) [Denmark] ","7532.5","0","(M)","length","",17]
[null,303,"MIIL[S]","miil (mijl) [Sweden, ancient] ","10687","0","(M)","length","",17]
[null,304,"MIL","mil","0.0000254","0","(M)","length","x",17]
[null,305,"MIL[S]","mil [Sweden] ","10000","0","(M)","length","",17]
[null,306,"MILE[BRIT]","mile [Britain, ancient] ","1609","0","(M)","length","",17]
[null,307,"MILE[CHINA]","chinese mile ","557.21","0","(M)","length","",17]
[null,308,"MILE[I]","mile [international] ","1609.344","0","(M)","length","",17]
[null,309,"MILE[IR]","mile [Irish] ","2048","0","(M)","length","",17]
[null,310,"MILE[NI]","mile [nautical, international] ","1852","0","(M)","length","",17]
[null,311,"MILE[NUK]","mile [nautical, UK] ","1853.184","0","(M)","length","",17]
[null,312,"MILE[NUS]","mile [nautical, US] ","1852","0","(M)","length","",17]
[null,313,"MILE[ROME]","mile [Roman, ancient] ","1520","0","(M)","length","",17]
[null,314,"MILE[S]","mile [Scottish] ","1814","0","(M)","length","",17]
[null,315,"MILE[SURV]","mile [survey, US] ","1609.3472187","0","(M)","length","",17]
[null,316,"MILE[USUK]","mile (us and uk)","1609.344","0","(M)","length","",17]
[null,317,"MILHA[P]","milha [Portuguese] ","2087.3","0","(M)","length","",17]
[null,318,"MILLA[S]","milla [Spanish] ","1392","0","(M)","length","",17]
[null,319,"MILLE[F]","mille [French] ","1949","0","(M)","length","",17]
[null,320,"MILLI","multiplier, 1E-3","0.001","0","(ITEM)","Multiplier","x",17]
[null,321,"MILLIARE","milliare [Rome] ","0.001478","0","(M)","length","",17]
[null,322,"MIN","minute","60","0","(S)","time","x",17]
[null,323,"MIN[A]","minute (angle)","0.000290888208665722","0","(M/M)","angle","",17]
[null,324,"MJ","megajoule","1000000","0","((KG*M^2)/S^2)","energy","",17]
[null,325,"MKONO","mkono [Africa] ","0.4572","0","(M)","length","",17]
[null,326,"ML","milliliter","0.000001","0","(M^3)","volume","",17]
[null,327,"MM","millimeter","0.001","0","(M)","length","x",17]
[null,328,"MM[H2O]","mmh2o","9.80665","0","(KG/(M*S^2))","pressure","x",17]
[null,329,"MM[HG]","millimeter hg (60 F)","133.3224","0","(KG/(M*S^2))","pressure","x",17]
[null,330,"MMCF","million std cu ft gas","1195300","0","(MOL)","quantity","",17]
[null,331,"MMU","mmu, Muon rest mass","1.883566E-28","0","(KG)","constant","",17]
[null,332,"MN","meganewton","1000000","0","((KG*M)/S^2)","force","",17]
[null,333,"MNR","mn, neutron rest mass","1.6749543E-27","0","(KG)","constant","",17]
[null,334,"MO","month","2628000","0","(S)","time","",17]
[null,335,"MOH","Moh, conductance","1","0","((AMP^2*S^3)/(KG*M^2))","electric","",17]
[null,336,"MOL","mole, amount of substance","1","0","(MOL)","quantity","x",17]
[null,337,"MOOT","moot [India] ","0.0762","0","(M)","length","",17]
[null,338,"MP","mp, protron rest mass","1.6726485E-27","0","(KG)","constant","",17]
[null,339,"MPA","megapascal","1000000","0","(KG/(M*S^2))","pressure","x",17]
[null,340,"MT","megatonne","1000000000","0","(KG)","mass","",17]
[null,341,"MU","Mu0, Permeability constant","12.56637061","0","((KG*M^2/(AMP^2*S^2))/M)","constant","",17]
[null,342,"MW","megawatt","1000000","0","((KG*M^2)/S^3)","power","",17]
[null,343,"MYRIA","myria","10000","0","(M)","length","",17]
[null,344,"N","Newton force","1","0","((KG*M)/S^2)","force","x",17]
[null,345,"NA","na, Avogadro's Constant","6.022045E+23","0","(ITEM/MOL)","constant","",17]
[null,346,"NAIL","nail ","0.05715","0","(M)","length","",17]
[null,347,"NANO","multiplier, 1E-9","0.000000001","0","(ITEM)","Multiplier","",17]
[null,348,"NAUTMI","Nautical Mile","1852","0","(M)","length","x",17]
[null,349,"NP","Neper","1","0","(ITEM)","multiplier","",17]
[null,350,"OHM","Ohm, electical resistance","1","0","((KG*M^2)/(AMP^2*S^3))","electric","x",17]
[null,351,"OZ","ounce (avoirdupois)","0.028349523","0","(KG)","mass","x",17]
[null,352,"OZ[T]","Ounce, troy","0.031103486","0","(KG)","mass","x",17]
[null,353,"P","poise, dynamic viscocity","0.1","0","(KG/(M*S))","viscocity","",17]
[null,354,"PA","pascal, pressure or stress","1","0","(KG/(M*S^2))","pressure","x",17]
[null,355,"PACE","pace","0.762","0","(M)","length","",17]
[null,356,"PACE[G]","pace [great] ","1.524","0","(M)","length","",17]
[null,357,"PACE[MIL]","military pace ","0.762","0","(M)","length","",17]
[null,358,"PACE[MIL2]","military pace [double time] ","0.9144","0","(M)","length","",17]
[null,359,"PACE[R]","pace [Roman] ","1.48","0","(M)","length","",17]
[null,360,"PALM[BR]","palm [Britain, Roman minor] ","0.075","0","(M)","length","",17]
[null,361,"PALM[D]","palm [Dutch] ","0.1","0","(M)","length","",17]
[null,362,"PALM[USR]","palm [US, Roman major] ","0.2286","0","(M)","length","",17]
[null,363,"PALMO[P]","palmo [Portuguese] ","0.22","0","(M)","length","",17]
[null,364,"PALMO[S]","palmo [Spanish] ","0.2","0","(M)","length","",17]
[null,365,"PALMO[T]","palmo [Texas] ","0.2117","0","(M)","length","",17]
[null,366,"PARASANG","parasang ","6000","0","(M)","length","",17]
[null,367,"PARISFT","Paris foot ","0.3248406","0","(M)","length","",17]
[null,368,"PARSEC","Parsec","30857200000000000","0","(M)","length","",17]
[null,369,"PE","pe [Portuguese] ","0.33324","0","(M)","length","",17]
[null,370,"PEARL","pearl ","0.0017573","0","(M)","length","",17]
[null,371,"PECK","peck ","0.008809768","0","(M^3)","volume","",17]
[null,372,"PERCH","perch ","5.0292","0","(M)","length","",17]
[null,373,"PERCH[I]","perch [Ireland] ","6.4008","0","(M)","length","",17]
[null,374,"PERTICA","pertica ","2.96","0","(M)","length","",17]
[null,375,"PES","pes ","0.2967","0","(M)","length","",17]
[null,376,"PETA","multiplier, 1E15","1000000000000000","0","(ITEM)","Multiplier","x",17]
[null,377,"PI","Pi, 3.1415926","3.141592654","0","(M/M)","constant","",17]
[null,378,"PICA","pica ","0.0042175","0","(M)","length","",17]
[null,379,"PICO","multiplier 1E-12","0.000000000001","0","(ITEM)","Multiplier","x",17]
[null,380,"PIE[A]","pie [Argentina] ","0.2889","0","(M)","length","",17]
[null,381,"PIE[I]","pie [Italian] ","0.298","0","(M)","length","",17]
[null,382,"PIE[S]","pie [Spanish] ","0.2786","0","(M)","length","",17]
[null,383,"PIE[T]","pie [Texas] ","0.2822","0","(M)","length","",17]
[null,384,"PIED","pied de roi ","0.3248406","0","(M)","length","",17]
[null,385,"PIK","pik ","0.71","0","(M)","length","",17]
[null,386,"PIKE[G]","pike [Greece] ","0.71","0","(M)","length","",17]
[null,387,"PINT","Pint (US liquid)","0.000473176473","0","(M^3)","volume","x",17]
[null,388,"PINT[UK]","pint(uk)","0.000568261","0","(M^3)","volume","",17]
[null,389,"PINT[USDRY]","pint(dry us)","0.00055061","0","(M^3)","volume","",17]
[null,390,"POLE","pole ","5.0292","0","(M)","length","",17]
[null,391,"POLEGADA","polegada [Portuguese] ","0.02777","0","(M)","length","",17]
[null,392,"POUNCE","pouce ","0.02707","0","(M)","length","",17]
[null,393,"POUND[A]","pound (avoirdupois)","0.45359237","0","(KG)","mass","",13]
[null,394,"POUND[T]","pound (troy)","0.37324172","0","(KG)","mass","",2.6616981634282674E-4]
[null,395,"POUNDAL","poundal","0.138255","0","((KG*M)/S^2)","force","",7.6923076923076927E-2]
[null,396,"PSF","pound force per sq ft","47.88025898","0","(KG/(M*S^2))","pressure","x",4.4982698961937718E-2]
[null,397,"PSI","pound force per sq in","6894.757293","0","(KG/(M*S^2))","pressure","x",2.2892819979188346E-3]
[null,398,"PT[A]","point [Adobe] ","0.0003528","0","(M)","length","",2.2892819979188346E-3]
[null,399,"PT[BRIT]","point [Britain, US] ","0.00035","0","(M)","length","",0.66160249739854315]
[null,400,"PT[DIDOT]","point [Didot] ","0.000377","0","(M)","length","",11]
[null,401,"PT[TEX]","point [TeX] ","0.0003515","0","(M)","length","",11]
[null,402,"PU","pu [China] ","1.7907","0","(M)","length","",11]
[null,403,"PULGADA","pulgada ","0.02365","0","(M)","length","",11]
[null,404,"PYGME","pygme [Greece] ","0.346","0","(M)","length","",11]
[null,405,"Q","Q ","0.00025","0","(M)","length","",11]
[null,406,"QT","quart (US liquid)","0.0009463264","0","(M^3)","volume","x",11]
[null,407,"QT[UK]","quart(uk)","0.001136521","0","(M^3)","volume","",11]
[null,408,"QT[USDRY]","quart(us dry)","0.00110122","0","(M^3)","volume","",11]
[null,409,"QUAD","quadrant ","10001300","0","(M)","length","",11]
[null,410,"QUAD[A]","Quadrant or Right Angle","1.5707963267949","0","(M/M)","angle","",11]
[null,411,"QUARTER","quarter ","402.336","0","(M)","length","",11]
[null,412,"QUARTER[C]","quarter [cloth] ","0.2286","0","(M)","length","",11]
[null,413,"QUARTER[P]","quarter [print] ","0.00025","0","(M)","length","",11]
[null,414,"QUIRE","quire","25","0","(PP)","paper","",11]
[null,415,"DEGR","degrees Rankine","0.555555555555556","0","(DEGK)","temperature","x",11]
[null,416,"RAD","radian, plane angle","1","0","(M/M)","angle","x",11]
[null,417,"RAD[AD]","Rad, absorbed dose","0.01","0","(M^2/S^2)","nuclear","",11]
[null,418,"RANGE","range ","9656.0833122","0","(M)","length","",11]
[null,419,"REAM","ream, standard","500","0","(PP)","paper","",11]
[null,420,"REAM[P]","ream, printer","516","0","(PP)","paper","",11]
[null,421,"REED","reed [Israel] ","2.679","0","(M)","length","",11]
[null,422,"REM","Rem, dose equivalent","0.01","0","(M^2/S^2)","nuclear","",11]
[null,423,"REV","revolution","6.28318530717959","0","(M/M)","rotation","x",11]
[null,424,"RGC","Molar gas constant, ideal","8.31441","0","((((KG)*(M^2))/(S^2))/(MOL*DEGK))","constant","x",11]
[null,425,"RI","ri [Japan] ","3927","0","(M)","length","",11]
[null,426,"RIDGE","ridge ","6.1722","0","(M)","length","",11]
[null,427,"RIVER","river [Egypt] ","2000","0","(M)","length","",1]
[null,428,"ROD","rod","5.0292","0","(M)","length","x",1]
[null,429,"ROD[S]","rod [survey] ","5.0292101","0","(M)","length","",1]
[null,430,"ROEDE","roede ","10","0","(M)","length","",1]
[null,431,"ROENTGN","Roentgen, specific electric charge","0.000258","0","(AMP*S/KG)","nuclear","",1]
[null,432,"ROOD","rood ","3.7783","0","(M)","length","",1]
[null,433,"ROPE","rope ","3.7783","0","(M)","length","",1]
[null,434,"ROYALFT","royal foot ","0.3248406","0","(M)","length","",1]
[null,435,"RPM","Revolution per minute","0.10471975511966","0","(M/M/S)","rotation","x",1]
[null,436,"RUTE","rute [Germany] ","3.75","0","(M)","length","",1]
[null,437,"RY","R, Rydberg constant","10973731.77","0","(ITEM/M)","constant","",1]
[null,438,"S","second","1","0","(S)","time","x",1]
[null,439,"SADZHEN","sadzhen ","2.1336","0","(M)","length","",1]
[null,440,"SAGENE","sagene ","2.1336","0","(M)","length","",1]
[null,441,"SCF","std cu ft (60 F, 14.696 psi)","1.1953","0","(MOL)","quantity","",1]
[null,442,"SCM","std cu meter (60 F, 101.325 kpa)","42.2932","0","(MOL)","quantity","",1]
[null,443,"SCMZ","std cu meter (0 C, 101.325 kpa)","44.6158","0","(MOL)","quantity","",1]
[null,444,"SCOTFT","Scots foot ","0.30645","0","(M)","length","",1]
[null,445,"SCOTMILE","Scots mile ","1814.2","0","(M)","length","",1]
[null,446,"SCRUPLE","Scruple (Apothecaries)","0.0012959782","0","(KG)","mass","",1]
[null,447,"SEC[A]","second","4.84813681109536E-06","0","(M/M)","angle","",1]
[null,448,"SEEMEILE","seemeile ","1852","0","(M)","length","",1]
[null,449,"SHACKLE","shackle ","27.432","0","(M)","length","",1]
[null,450,"SHAFTMENT","shaftment ","0.15124","0","(M)","length","",1]
[null,451,"SHAFTMENT[A]","shaftment [ancient] ","0.165","0","(M)","length","",1]
[null,452,"SHAKU","shaku ","0.303","0","(M)","length","",1]
[null,453,"SHT","sheet, paper","1","0","(PP)","paper","",1]
[null,454,"SIEMEN","Electric conductance","1","0","((AMP^2*S^3)/(KG*M^2))","electric","",1]
[null,455,"SIGMA","sigma, Stefan-Boltzmann constant","0.0000000567032","0","((KG*M^2/S^3)/(M^2*DEGK^4))","constant","",1]
[null,456,"SIRIO","sirio","149597870000000000","0","(M)","length","",1]
[null,457,"SLUG","slug = 32.17 lbm","14.593903","0","(KG)","mass","x",1]
[null,458,"SMOOT","smoot ","1.7018","0","(M)","length","",1]
[null,459,"SOLARMASS","solar mass","1.989E+30","0","(KG)","mass","",1]
[null,460,"SP[ALUM]","specific gravity [aluminum]","2720.9","0","(KG/M^3)","density","",3.2258064516129031E-2]
[null,461,"SP[BECU]","specific gravity [berylium copper]","8246.1","0","(KG/M^3)","density","",3.2258064516129031E-2]
[null,462,"SP[BRASS]","specific gravity [brass]","8579.3","0","(KG/M^3)","density","",0.3007284079084287]
[null,463,"SP[CU]","specific gravity [copper]","8940.2","0","(KG/M^3)","density","",0.3007284079084287]
[null,464,"SP[FIR]","specific gravity [douglas fir wood]","444.23","0","(KG/M^3)","density","",0.3007284079084287]
[null,465,"SP[GCI]","specific gravity [cast iron, grey]","7218.8","0","(KG/M^3)","density","",14.090909090909092]
[null,466,"SP[GLASS]","specific gravity [glass]","2609.9","0","(KG/M^3)","density","",0.3007284079084287]
[null,467,"SP[LEAD]","specific gravity [lead]","11411.3","0","(KG/M^3)","density","",{"$error":"#NAME?"}]
[null,468,"SP[MAGN]","specific gravity [magnesium]","1804.7","0","(KG/M^3)","density","",{"$error":"#NAME?"}]
[null,469,"SP[STEEL]","specific gravity [steel]","7857.4","0","(KG/M^3)","density","",{"$error":"#NAME?"}]
[null,470,"SPAN","span ","0.2286","0","(M)","length","",{"$error":"#NAME?"}]
[null,471,"SPAT","spat ","1000000000000","0","(M)","length","",{"$error":"#NAME?"}]
[null,472,"SPGR","specific gravity (h2o @ 60 F)","999.0412333","0","(KG/M^3)","density","x",{"$error":"#NAME?"}]
[null,473,"SR","Steradian, solid angle","1","0","(M^2/M^2)","angle","",0.10671008022557148]
[null,474,"ST","stoke","0.0001","0","(M^2/S)","viscocity","",0.10671008022557148]
[null,475,"STADIUM","stadium ","185","0","(M)","length","",0.10671008022557148]
[null,476,"STEP","step ","0.762","0","(M)","length","",0.10671008022557148]
[null,477,"STHENE","sthenes(=kN)","1000","0","((KG*M)/S^2)","force","",0.10671008022557148]
[null,478,"STICK","stick ","3.048","0","(M)","length","",0.10671008022557148]
[null,479,"STONE","stone","6.36363636363637","0","(KG)","mass","",0.10671008022557148]
[null,480,"STORY","story ","3.3","0","(M)","length","",0.10671008022557148]
[null,481,"STRIDE[G]","stride [great] ","1.524","0","(M)","length","",6.7331823468201016E-4]
[null,482,"STRIDE[R]","stride [Roman] ","1.48","0","(M)","length","",6.7331823468201016E-4]
[null,483,"SUNMASS","Mass of Sun","1.99E+30","0","(KG)","constant","",6.7331823468201016E-4]
[null,484,"SUNRAD","Sun radiation rate","3.92E+26","0","(KG*M^2/S^3)","constant","",6.7331823468201016E-4]
[null,485,"SUNRADIUS","Radius of Sun","696000000","0","(M)","constant","",6.7331823468201016E-4]
[null,486,"SUNTEMP","Temperature, sun surface","6000","0","(DEGK)","constant","",6.7331823468201016E-4]
[null,487,"SV","Sievert, dose equivalent","1","0","(M^2/S^2)","nuclear","",6.7331823468201016E-4]
[null,488,"T","Tesla, Magnetic flux density","1","0","(KG/(AMP*S^2))","magnetic","",6.7331823468201016E-4]
[null,489,"TBLSP","tablespoon","0.000014787","0","(M^3)","volume","x",6.7331823468201016E-4]
[null,490,"TERA","multiplier, 1E12","1000000000000","0","(ITEM)","Multiplier","x",6.7331823468201016E-4]
[null,491,"THERM","therm","105505585.257348","0","((KG*M^2)/S^2)","energy","x",6.7331823468201016E-4]
[null,492,"THOU","thou ","0.0000254","0","(M)","length","",6.7331823468201016E-4]
[null,493,"TOISE","toise ","1.949","0","(M)","length","",6.7331823468201016E-4]
[null,494,"TON","ton (us or short)","907.18474","0","(KG)","mass","x",6.7331823468201016E-4]
[null,495,"TON[FORCE]","ton (US) force","8896.443231","0","((KG*M)/S^2)","force","",6.7331823468201016E-4]
[null,496,"TON[FORCEUK]","ton force","9964.016418","0","((KG*M)/S^2)","force","",6.7331823468201016E-4]
[null,497,"TON[LONG]","ton (uk or long)","1016.046909","0","(KG)","mass","",6.7331823468201016E-4]
[null,498,"TONAC","ton refridgeration (12000 BTU/hr)","3514.5","0","((KG*M^2)/S^3)","power","",6.7331823468201016E-4]
[null,499,"TONNE","tonne (metric)","1000","0","(KG)","mass","",19]
[null,500,"TONNE[FORCE]","tonne force","9806.65","0","((KG*M)/S^2)","force","",1]
[null,501,"TONUK","long ton (2240 lbm)","1016.046909","0","(KG)","mass","",19]
[null,502,"TORR","torr (mm Hg 0 C)","133.322","0","(KG/(M*S^2))","pressure","x",1]
[null,503,"TOWN","township ","9656.0833122","0","(M)","length","",19]
[null,504,"TSP","teaspoon","0.000004929","0","(M^3)","volume","x",19]
[null,505,"TSUN","t'sun ","0.0358","0","(M)","length","",19]
[null,506,"TU","tu ","161130","0","(M)","length","",19]
[null,507,"TWAIN","twain ","3.6576074","0","(M)","length","",19]
[null,508,"TWIP","twip ","0.0000176","0","(M)","length","",19]
[null,509,"U","U ","0.04445","0","(M)","length","",3.2258064516129031E-2]
[null,510,"UM","micrometer","0.000001","0","(M)","length","x"]
[null,511,"V","Volt, energy per unit charge, potential difference, electromotive force","1","0","((KG*M^2)/(AMP*S^3))","electric","x",1]
[null,512,"VARA[C]","vara [California] ","0.8382017","0","(M)","length","",3.2258064516129031E-2]
[null,513,"VARA[M]","vara [Mexico] ","0.83802","0","(M)","length","",7]
[null,514,"VARA[P]","vara [Portuguese] ","1.1","0","(M)","length","",7]
[null,515,"VARA[S]","vara [Spanish] ","0.83587","0","(M)","length","",7]
[null,516,"VARA[SA]","vara [South America] ","0.864","0","(M)","length","",7]
[null,517,"VARA[T]","vara [Texas] ","0.8466684","0","(M)","length","",31]
[null,518,"VERGE","verge ","0.9144","0","(M)","length","",31]
[null,519,"VERSHOK","vershok ","0.04445","0","(M)","length","",31]
[null,520,"VERST","verst ","1066.8","0","(M)","length","",31]
[null,521,"VM","Vm, Molar volume of ideal gas at 0C and 1 Atm","0.02241383","0","(M^3/(MOL))","constant","",31]
[null,522,"W","watt, power or radiant flux","1","0","((KG*M^2)/S^3)","power","x",31]
[null,523,"WAH","wah [Thailand] ","2","0","(M)","length","",31]
[null,524,"WEBER","magnetic flux density integral","1","0","((KG*M^2)/(AMP*S^2))","magnetic","x",37]
[null,525,"WERST","werst ","1066.8","0","(M)","length","",43]
[null,526,"YD","yard","0.9144","0","(M)","length","x",0.54838709677419351]
[null,527,"YD[CHINA]","chinese yard ","0.89154","0","(M)","length","",0.54838709677419351]
[null,528,"YOCTO","multiplier, 1E-24","1E-24","0","(ITEM)","Multiplier","",0.54838709677419351]
[null,529,"YOTTA","yotta","1E+25","0","(M)","length","",0.54838709677419351]
[null,530,"YOTTA","Multiplier, 1E24","1E+24","0","(ITEM)","Multiplier","",2.0872865275142316E-2]
[null,531,"YR","year (mean Earth)","31557600","0","(S)","time","x",9.32258064516129]
[null,532,"ZEPTO","multiplier, 1E-21","1E-21","0","(ITEM)","Multiplier","",2.0872865275142316E-2]
[null,533,"ZETTA","zetta","1E+22","0","(M)","length","",9.32258064516129]
[null,534,"ZETTA","multiplier, 1E21","1E+21","0","(ITEM)","Multiplier","",4913]
[null,535,"ZODIAC","Zodiac sign","0.523598775598299","0","(M/M)","angle","",4913]
[null,536,"ZOLL[G]","zoll [Germany] ","0.02634","0","(M)","length","",4913]
[null,537,"ZOLL[S]","zoll [Switzerland] ","0.03","0","(M)","length","",4913]
[null,538,"TONTNT","energy of ton TNT ","4.184E9","0","((KG*M^2)/S^2)","energy","",4913]
[null,539,"JY","Jansky ","10E-27","0","(W/M^2/Hz)","energy flux","",4913]
[null,540,"DRAM[AP]","Dram (apothecaries), mass ",".0038879346","0","(KG)","mass","",4913]
[null,541,"USERA","User defined a","1.00","0","(USERA)","user defined a","",4913]
[null,542,"USERB","User defined b","1.00","0","(USERB)","user defined b",null,4913]
[null,543,"CUR[GBP]","currency [GBP] ",1.3189132155104195,"0","(CUR)","currency",null,4913]
[null,544,"CUR[EU]","currency [EU] ",1.1289230074508918,"0","(CUR)","currency",null,4913]
[null,545,"CUR[YEN]","currency [YEN] ",9.9450041271767122E-3,"0","(CUR)","currency",null,4913]
[null,546,"SHAKE","Atomic Time Unit",1E-8,"0.0","(S)","time",null,4913]
[null,547,"LBMOL","User Defined - Pound Mole",453,"0.0","(MOL)","quantity",null,4913]
[null,548,"CUR[ZAR]","Currency [South Africa Rand]",7.0450814763672737E-2,"0.0","(CUR)","currency",null,4913]
[null,549,"CUR","currency USD ","1.00","0","(CUR)","currency","",4913]
[null,550,"PPM","Parts per Million, 1E-6 (milli)","1E-6","0.000","(ITEM)","multiplier","",4913]
[null,551,"PPB","Parts per Billion, 1E-9 (nano)","1E-9","0.000","(ITEM)","multiplier","",4913]
[null,552,"PPT","Parts per Trillion, 1E-12 (pico)","1E-12","0.000","(ITEM)","multiplier","",4913]
[null,553,"~","Unity, multiplier ","1.000","0.000","(ITEM)","multiplier","",4913]
[null,554,"LBTNT","energy of lb TNT ","1.9018E6","0","((KG*M^2)/S^2)","energy","",4913]
[null,555,"ELN","constant e (2.718...)","2.718281828459045","0.000","(ITEM)","constant","",4913]
[null,556,"PPQ","Parts per Quadrillion, 1E-15 (femto)","1E-15","0.000","(ITEM)","group","",4913]
[null,557,"PCT","Percent, 1E-2 (centi)","1E-2","0.000","(ITEM)","group","",4913]
[null,558,"HZR","Hertz, rotation, (revolution)/second","6.28318530717959","0","(M/M/S)","rotation","",4913]
[null,559,"NAME[08]","new unit, unit type ","0.000","0.000","(ITEM)","group","",4913]
[null,560,"NAME[09]","new unit, unit type ","0.000","0.000","(ITEM)","group","",4913]
[null,561,"","","","","","","",4913]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,"chkval","Type"]
[null,null,null,null,null,null,null,null,null,null,null,1.5378551933460753E-7,"Stefan-Boltzmann"]
[null,null,null,null,null,null,null,null,null,null,null,2.1719943054E-5,"Spectral Radiance"]
[null,null,null,null,null,null,null,null,null,null,null,2.6616981634282674E-4,"ft-candle"]
[null,null,null,null,null,null,null,null,null,null,null,3.6923903192239267E-4,"Irradiance"]
[null,null,null,null,null,null,null,null,null,null,null,6.7331823468201016E-4,"pressure"]
[null,null,null,null,null,null,null,null,null,null,null,2.2389578668837776E-3,"density"]
[null,null,null,null,null,null,null,null,null,null,null,2.2892819979188346E-3,"magnetic flux density"]
[null,null,null,null,null,null,null,null,null,null,null,4.2684032090228594E-3,"electrical resistance"]
[null,null,null,null,null,null,null,null,null,null,null,6.277063542680675E-3,"Spectral Power"]
[null,null,null,null,null,null,null,null,null,null,null,7.7835587929240375E-3,"Permeability constant"]
[null,null,null,null,null,null,null,null,null,null,null,1.1446409989594173E-2,"energy flux"]
[null,null,null,null,null,null,null,null,null,null,null,1.7689906347554629E-2,"acceleration"]
[null,null,null,null,null,null,null,null,null,null,null,2.0872865275142316E-2,"dynamic viscocity"]
[null,null,null,null,null,null,null,null,null,null,null,2.1342016045114296E-2,"electromotive force"]
[null,null,null,null,null,null,null,null,null,null,null,2.48722743382911E-2,"Molar gas constant"]
[null,null,null,null,null,null,null,null,null,null,null,3.2258064516129031E-2,"1/time"]
[null,null,null,null,null,null,null,null,null,null,null,4.4982698961937718E-2,"illuminance"]
[null,null,null,null,null,null,null,null,null,null,null,5.2631578947368418E-2,"Item / mole"]
[null,null,null,null,null,null,null,null,null,null,null,5.8823529411764705E-2,"Item / length"]
[null,null,null,null,null,null,null,null,null,null,null,7.6923076923076927E-2,"Luminous flux"]
[null,null,null,null,null,null,null,null,null,null,null,0.10671008022557148,"power"]
[null,null,null,null,null,null,null,null,null,null,null,0.13232049947970864,"electrical inductance"]
[null,null,null,null,null,null,null,null,null,null,null,0.19458896982310095,"force"]
[null,null,null,null,null,null,null,null,null,null,null,0.3007284079084287,"specific energy, nuclear dose"]
[null,null,null,null,null,null,null,null,null,null,null,0.46476208494938986,"gravity constant"]
[null,null,null,null,null,null,null,null,null,null,null,0.47257321242753086,"boltzman constant"]
[null,null,null,null,null,null,null,null,null,null,null,0.54838709677419351,"velocity"]
[null,null,null,null,null,null,null,null,null,null,null,0.61290322580645162,"catalytic activity"]
[null,null,null,null,null,null,null,null,null,null,null,0.66160249739854315,"magnetic flux density integral"]
[null,null,null,null,null,null,null,null,null,null,null,1,"Ang/Qty/Mult"]
[null,null,null,null,null,null,null,null,null,null,null,3.3080124869927161,"energy"]
[null,null,null,null,null,null,null,null,null,null,null,5,"electric current"]
[null,null,null,null,null,null,null,null,null,null,null,7,"temperature"]
[null,null,null,null,null,null,null,null,null,null,null,8.1578947368421044,"Faraday constant"]
[null,null,null,null,null,null,null,null,null,null,null,9.32258064516129,"kinematic viscocity"]
[null,null,null,null,null,null,null,null,null,null,null,11,"mass"]
[null,null,null,null,null,null,null,null,null,null,null,13,"luminous intensity/flux"]
[null,null,null,null,null,null,null,null,null,null,null,14.090909090909092,"nuclear specific charge"]
[null,null,null,null,null,null,null,null,null,null,null,17,"length"]
[null,null,null,null,null,null,null,null,null,null,null,19,"quantity"]
[null,null,null,null,null,null,null,null,null,null,null,23,"paper"]
[null,null,null,null,null,null,null,null,null,null,null,31,"time"]
[null,null,null,null,null,null,null,null,null,null,null,37,"user defined a"]
[null,null,null,null,null,null,null,null,null,null,null,41,"currency"]
[null,null,null,null,null,null,null,null,null,null,null,43,"user defined b"]
[null,null,null,null,null,null,null,null,null,null,null,102.54838709677419,"Plank constant"]
[null,null,null,null,null,null,null,null,null,null,null,155,"electric charge"]
[null,null,null,null,null,null,null,null,null,null,null,234.27964768795218,"electric conductance"]
[null,null,null,null,null,null,null,null,null,null,null,258.57894736842104,"molar volume"]
[null,null,null,null,null,null,null,null,null,null,null,289,"area"]
[null,null,null,null,null,null,null,null,null,null,null,427.21582813685399,"permittivity"]
[null,null,null,null,null,null,null,null,null,null,null,1445,"magnetic dipole moment"]
[null,null,null,null,null,null,null,null,null,null,null,4913,"volume"]
[null,null,null,null,null,null,null,null,null,null,null,7262.6690783265176,"electric capacitance"]

{"sheet":"Data","index":3,"n_rows":177,"n_cols":19,"rows_kept":177,"cut":false,"hidden":false,"merged":[]}
[{"$f":"Intro!H1","v":"VVES"}]
["Analysis - FreeStyle Spreadsheet"]
["MJ Van Voorhis  2/11/2016, 8/25/16"]
[]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit","ChkVal","Text"]
[]
[null,"Ambient Pressure (absolute) =",1,"(atm)","input value",{"$f":"CVBaseVal(C7,D7)","v":101325},{"$f":"CVBaseUnit(D7)","v":"((KG/(M*S^2)))"},{"$f":"UCchkval(D7)","v":6.7331823468201016E-4},{"$f":"B7&\" \"&TEXT(C7,\"0.00\")&\" \"&D7","v":"Ambient Pressure (absolute) = 1.00 (atm)"}]
[null,"Pressure (gage) =",1180,"(psi)","input value",{"$f":"CVBaseVal(C8,D8)","v":8135813.6057399996},{"$f":"CVBaseUnit(D8)","v":"((KG/(M*S^2)))"},{"$f":"UCchkval(D8)","v":6.7331823468201016E-4},{"$f":"B8&\" \"&TEXT(C8,\"0\")&\" \"&D8","v":"Pressure (gage) = 1180 (psi)"}]
[null,"O.D. =",24,"(in)","input value",{"$f":"CVBaseVal(C9,D9)","v":0.60960000000000003},{"$f":"CVBaseUnit(D9)","v":"((M))"},{"$f":"UCchkval(D9)","v":17}]
[null,"Pressure (absolute) =",{"$f":"cvval(F10,G10,D10)","v":1194.69594877587},"(psi)","=F7+F8",{"$f":"F7+F8","v":8237138.6057399996},{"$f":"IF(AND(H7=H8,H8=H10), CVBaseUnit(D10), NA())","v":"((KG/(M*S^2)))"},{"$f":"UCchkval(D10)","v":6.7331823468201016E-4},{"$f":"B10&\" \"&TEXT(C10,\"0.00E+00\")&\" \"&D10","v":"Pressure (absolute) = 1.19E+03 (psi)"}]
[]
[null,"Diameter1 =",6.4,"(in)","input value",{"$f":"CVBaseVal(C12,D12)","v":0.16256000000000001},{"$f":"CVBaseUnit(D12)","v":"((M))"},{"$f":"UCchkval(D12)","v":17},{"$f":"B12&\" \"&TEXT(C12,\"0.0\")&\" \"&D12","v":"Diameter1 = 6.4 (in)"}]
[null,"Diameter2 =",0,"(in)","input value",{"$f":"CVBaseVal(C13,D13)","v":0},{"$f":"CVBaseUnit(D13)","v":"((M))"},{"$f":"UCchkval(D13)","v":17},{"$f":"B13&\" \"&TEXT(C13,\"0.0\")&\" \"&D13","v":"Diameter2 = 0.0 (in)"}]
[]
[null,"Net Area =",{"$f":"cvval(F15,G15,D15)","v":32.169908772759499},"(in^2)","=PI()/4*(F12^2-F13^2)",{"$f":"PI()/4*(F12^2-F13^2)","v":2.0754738343833512E-2},{"$f":"IF(AND((H12^2=H13^2),(H13^2)=H15), CVBaseUnit(D15), NA())","v":"((M)^2)"},{"$f":"UCchkval(D15)","v":289},{"$f":"B15&\" \"&TEXT(C15,\"0.00E+00\")&\" \"&D15","v":"Net Area = 3.22E+01 (in^2)"}]
[null,"O.D. Area =",{"$f":"cvval(F16,G16,D16)","v":452.38934211692998},"(in^2)","=PI()/4*F9^2",{"$f":"PI()/4*F9^2","v":0.2918635079601587},{"$f":"IF(AND(H9^2=H16), CVBaseUnit(D16), NA())","v":"((M)^2)"},{"$f":"UCchkval(D16)","v":289}]
[null,"Mass-i =",1500,"(lbm)","input value",{"$f":"CVBaseVal(C17,D17)","v":680.388555},{"$f":"CVBaseUnit(D17)","v":"((KG))"},{"$f":"UCchkval(D17)","v":11},{"$f":"B17&\" \"&TEXT(C17,\"0.0\")&\" \"&D17","v":"Mass-i = 1500.0 (lbm)"}]
[null,"Mass-f =",0,"(lbm)","input value",{"$f":"CVBaseVal(C18,D18)","v":0},{"$f":"CVBaseUnit(D18)","v":"((KG))"},{"$f":"UCchkval(D18)","v":11},{"$f":"B18&\" \"&TEXT(C18,\"0.0\")&\" \"&D18","v":"Mass-f = 0.0 (lbm)"}]
[]
[null,"Mass Change =",{"$f":"cvval(F20,G20,D20)","v":1500},"(lbm)","=F17-F18",{"$f":"F17-F18","v":680.388555},{"$f":"IF(AND(H17=H18,H18=H20), CVBaseUnit(D20), NA())","v":"((KG))"},{"$f":"UCchkval(D20)","v":11},{"$f":"B20&\" \"&TEXT(C20,\"0.00E+00\")&\" \"&D20","v":"Mass Change = 1.50E+03 (lbm)"}]
[]
[null,"Time =",6,"(s)","input value",{"$f":"CVBaseVal(C22,D22)","v":6},{"$f":"CVBaseUnit(D22)","v":"((S))"},{"$f":"UCchkval(D22)","v":31},{"$f":"B22&\" \"&TEXT(C22,\"0.0\")&\" \"&D22","v":"Time = 6.0 (s)"}]
[]
[null,"M-dot_p =",{"$f":"cvval(F24,G24,D24)","v":250},"(lbm/s)","=F20/F22",{"$f":"F20/F22","v":113.3980925},{"$f":"IF(AND(H20/H22=H24), CVBaseUnit(D24), NA())","v":"((KG)/(S))"},{"$f":"UCchkval(D24)","v":0.35483870967741937},{"$f":"B24&\" \"&TEXT(C24,\"0.00E+00\")&\" \"&D24","v":"M-dot_p = 2.50E+02 (lbm/s)"}]
[]
[null,"Pressure Thrust =",{"$f":"cvval(F26,G26,D26)","v":37960.491827522397},"(lbf)","=F8*F15",{"$f":"F8*F15","v":168856.68260133435},{"$f":"IF(AND(H8*H15=H26), CVBaseUnit(D26), NA())","v":"(((KG*M)/S^2))"},{"$f":"UCchkval(D26)","v":0.19458896982310095},{"$f":"B26&\" \"&TEXT(C26,\"0.00E+00\")&\" \"&D26","v":"Pressure Thrust = 3.80E+04 (lbf)"}]
[]
[null,"Characteristic Velocity, V0 =",{"$f":"247*32.2","v":7953.4000000000005},"(ft/s)","input value",{"$f":"CVBaseVal(C28,D28)","v":2424.20116840234},{"$f":"CVBaseUnit(D28)","v":"((M)/(S))"},{"$f":"UCchkval(D28)","v":0.54838709677419351},{"$f":"B28&\" \"&TEXT(C28,\"0.0\")&\" \"&D28","v":"Characteristic Velocity, V0 = 7953.4 (ft/s)"}]
[null,"Efficiency =",60,"(centi)","input value",{"$f":"CVBaseVal(C29,D29)","v":0.6},{"$f":"CVBaseUnit(D29)","v":"((ITEM))"},{"$f":"UCchkval(D29)","v":1},{"$f":"B29&\" \"&TEXT(C29,\"0.0\")&\" \"&D29","v":"Efficiency = 60.0 (centi)"}]
[null,"Jet Thrust =",{"$f":"cvval(F30,G30,D30)","v":37079.9580128327},"(lbf)","=F29*F24*F28",{"$f":"F29*F24*F28","v":164939.87299985797},{"$f":"IF(AND(H29*H24*H28=H30), CVBaseUnit(D30), NA())","v":"(((KG*M)/S^2))"},{"$f":"UCchkval(D30)","v":0.19458896982310095},{"$f":"B30&\" \"&TEXT(C30,\"0.00E+00\")&\" \"&D30","v":"Jet Thrust = 3.71E+04 (lbf)"}]
[null,"Thrust =",{"$f":"cvval(F31,G31,D31)","v":75040.449840354995},"(lbf)","=F30+F26",{"$f":"F30+F26","v":333796.55560119229},{"$f":"IF(AND(H30+H26,H26=H31), CVBaseUnit(D31), NA())","v":"(((KG*M)/S^2))"},{"$f":"UCchkval(D31)","v":0.19458896982310095},{"$f":"B31&\" \"&TEXT(C31,\"0.00E+00\")&\" \"&D31","v":"Thrust = 7.50E+04 (lbf)"}]
[]
[]
[]
[null,"CALCULATION OF REYNOLD NUMBER"]
[null,"  TYLER HICKS: PAGE 1-212"]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit","ChkVal","text"]
[]
[null,"Flow RATE =",42,"(gal/min)","input value",{"$f":"CVBaseVal(C39,D39)","v":2.6497882487999998E-3},{"$f":"CVBaseUnit(D39)","v":"((M^3)/(S))"},{"$f":"UCchkval(D39)","v":158.48387096774192},{"$f":"B39&\" \"&TEXT(C39,\"0.0\")&\" \"&D39","v":"Flow RATE = 42.0 (gal/min)"}]
[null,"Pipe SIZE =",0.98699999999999999,"(in)","input value",{"$f":"CVBaseVal(C40,D40)","v":2.50698E-2},{"$f":"CVBaseUnit(D40)","v":"((M))"},{"$f":"UCchkval(D40)","v":17},{"$f":"B40&\" \"&TEXT(C40,\"0.00\")&\" \"&D40","v":"Pipe SIZE = 0.99 (in)"}]
[]
[null,"Flow AREA =",{"$f":"cvval(F42,G42,D42)","v":0.76511054343872897},"(in^2)","=PI()/4*SIZE^2",{"$f":"PI()/4*SIZE^2","v":4.9361871820493024E-4},{"$f":"IF(H40^2=H42, CVBaseUnit(D42), NA())","v":"((M)^2)"},{"$f":"UCchkval(D42)","v":289},{"$f":"B42&\" \"&TEXT(C42,\"0.00E+00\")&\" \"&D42","v":"Flow AREA = 7.65E-01 (in^2)"}]
[null,"Flow VELOCITY =",{"$f":"cvval(F43,G43,D43)","v":17.611798929652501},"(ft/s)","=RATE/AREA",{"$f":"RATE/AREA","v":5.3680870499321633},{"$f":"IF(H39/H42=H43, CVBaseUnit(D43), NA())","v":"((M)/(S))"},{"$f":"UCchkval(D43)","v":0.54838709677419351},{"$f":"B43&\" \"&TEXT(C43,\"0.00E+00\")&\" \"&D43","v":"Flow VELOCITY = 1.76E+01 (ft/s)"}]
[]
[null,"Dynamic Viscosity, DYNVISC =",1.004,"(cP)","input value, Crude oil",{"$f":"CVBaseVal(C45,D45)","v":1.0039999999999999E-3},{"$f":"CVBaseUnit(D45)","v":"((KG/(M*S)))"},{"$f":"UCchkval(D45)","v":2.0872865275142316E-2},{"$f":"B45&\" \"&TEXT(C45,\"0.00\")&\" \"&D45","v":"Dynamic Viscosity, DYNVISC = 1.00 (cP)"}]
[null,"Density, RHO =",998,"(kg/m^3)","input value, Crude oil",{"$f":"CVBaseVal(C46,D46)","v":998},{"$f":"CVBaseUnit(D46)","v":"((KG)/(M)^3)"},{"$f":"UCchkval(D46)","v":2.2389578668837776E-3},{"$f":"B46&\" \"&TEXT(C46,\"0\")&\" \"&D46","v":"Density, RHO = 998 (kg/m^3)"}]
[]
[null,"Kinematic Viscosity =",{"$f":"cvval(F48,G48,D48)","v":1.0828579990536599E-5},"(FT^2/s)","=DYNVISC/RHO",{"$f":"DYNVISC/RHO","v":1.006012024048096E-6},{"$f":"IF(H45/H46=H48, CVBaseUnit(D48), NA())","v":"((M)^2/(S))"},{"$f":"UCchkval(D48)","v":9.32258064516129},{"$f":"B48&\" \"&TEXT(C48,\"0.00E+00\")&\" \"&D48","v":"Kinematic Viscosity = 1.08E-05 (FT^2/s)"}]
[null,"Reynold Number =",{"$f":"cvval(F49,G49,D49)","v":133772.62448898499},"(~)","=SIZE * VELOCITY * RHO / DYNVISC",{"$f":"SIZE * VELOCITY * RHO / DYNVISC","v":133772.62448898464},{"$f":"IF(H40 * H43 * H46 / H45=H49, CVBaseUnit(D49), NA())","v":"((ITEM))"},{"$f":"UCchkval(D49)","v":1},{"$f":"B49&\" \"&TEXT(C49,\"0.00E+00\")&\" \"&D49","v":"Reynold Number = 1.34E+05 (~)"}]
[null,"Flow State:",{"$f":"IF(F49<2000,\"laminar\",IF(F49>4000,\"turbulent\",\"undefined\"))","v":"turbulent"},"=IF(F28<2000,\"laminar\",IF(F28>4000,\"turbulent\",\"undefined\"))",null,null,null,null,{"$f":"B50&\" \"&C50","v":"Flow State: turbulent"}]
[]
[]
[null,{"$f":"CELL(\"filename\")","v":"C:\\Users\\Owner\\Desktop\\[FreeStyle.xlsm]Intro"}]
[]
[]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit","ChkVal","text"]
[null,"Flow Rate, Q =",8000,"ft^3/min","input value, ARMD P&ID",{"$f":"CVBaseVal(C57,D57)","v":3.7756021991678801},{"$f":"CVBaseUnit(D57)","v":"(M)^3/(S)"},{"$f":"UCchkval(D57)","v":158.48387096774192},{"$f":"B57&\" \"&TEXT(C57,\"0.00\")&\" \"&D57","v":"Flow Rate, Q = 8000.00 ft^3/min"}]
[null,"Specific Weight, w =",7.0999999999999994E-2,"lbm/ft^3","input value, Air",{"$f":"CVBaseVal(C58,D58)","v":1.1373040756994199},{"$f":"CVBaseUnit(D58)","v":"(KG)/(M)^3"},2.2389578668837776E-3,{"$f":"B58&\" \"&TEXT(C58,\"0.00\")&\" \"&D58","v":"Specific Weight, w = 0.07 lbm/ft^3"}]
[null,"Inlet diameter, di =",18,"in","input value, 15813-320-01",{"$f":"CVBaseVal(C59,D59)","v":0.4572},{"$f":"CVBaseUnit(D59)","v":"(M)"},17,{"$f":"B59&\" \"&TEXT(C59,\"0.00\")&\" \"&D59","v":"Inlet diameter, di = 18.00 in"}]
[null,"Outlet diameter, do =",18,"in","input value, 15813-320-01",{"$f":"CVBaseVal(C60,D60)","v":0.4572},{"$f":"CVBaseUnit(D60)","v":"(M)"},17,{"$f":"B60&\" \"&TEXT(C60,\"0.00\")&\" \"&D60","v":"Outlet diameter, do = 18.00 in"}]
[null,"Inlet velocity magnitude, V1 =",{"$f":"cvval(F61,G61,D61)","v":4527.0920451862003},"ft/min","=F57/(PI()/4*F59^2)",{"$f":"F57/(PI()/4*F59^2)","v":22.997673584893054},{"$f":"IF(AND(H57/(H59^2)=H61), CVBaseUnit(D61), NA())","v":"(M)/(S)"},0.54838709677419351,{"$f":"B61&\" \"&TEXT(C61,\"0.00E+00\")&\" \"&D61","v":"Inlet velocity magnitude, V1 = 4.53E+03 ft/min"}]
[null,"Outlet velocity magnitude, V2 =",{"$f":"cvval(F62,G62,D62)","v":4527.0920451862003},"ft/min","=F57/(PI()/4*F60^2)",{"$f":"F57/(PI()/4*F60^2)","v":22.997673584893054},{"$f":"IF(AND(H57/(H60^2)=H62), CVBaseUnit(D62), NA())","v":"(M)/(S)"},0.54838709677419351,{"$f":"B62&\" \"&TEXT(C62,\"0.00E+00\")&\" \"&D62","v":"Outlet velocity magnitude, V2 = 4.53E+03 ft/min"}]
[]
[null,"Velocity, inlet-x, Vx1 =",{"$f":"-4527","v":-4527},"ft/min","input value",{"$f":"CVBaseVal(C64,D64)","v":-22.997205994411999},{"$f":"CVBaseUnit(D64)","v":"(M)/(S)"},{"$f":"UCchkval(D64)","v":0.54838709677419351},{"$f":"B64&\" \"&TEXT(C64,\"0.00\")&\" \"&D64","v":"Velocity, inlet-x, Vx1 = -4527.00 ft/min"}]
[null,"Velocity, inlet-y, Vy1 =",0,"ft/min","input value",{"$f":"CVBaseVal(C65,D65)","v":0},{"$f":"CVBaseUnit(D65)","v":"(M)/(S)"},{"$f":"UCchkval(D65)","v":0.54838709677419351},{"$f":"B65&\" \"&TEXT(C65,\"0.00\")&\" \"&D65","v":"Velocity, inlet-y, Vy1 = 0.00 ft/min"}]
[null,"Velocity, outlet-x, Vx2 =",0,"ft/min","input value",{"$f":"CVBaseVal(C66,D66)","v":0},{"$f":"CVBaseUnit(D66)","v":"(M)/(S)"},{"$f":"UCchkval(D66)","v":0.54838709677419351},{"$f":"B66&\" \"&TEXT(C66,\"0.00\")&\" \"&D66","v":"Velocity, outlet-x, Vx2 = 0.00 ft/min"}]
[null,"Velocity, outlet-y, Vy2 =",{"$f":"-4527","v":-4527},"ft/min","input value",{"$f":"CVBaseVal(C67,D67)","v":-22.997205994411999},{"$f":"CVBaseUnit(D67)","v":"(M)/(S)"},{"$f":"UCchkval(D67)","v":0.54838709677419351},{"$f":"B67&\" \"&TEXT(C67,\"0.00\")&\" \"&D67","v":"Velocity, outlet-y, Vy2 = -4527.00 ft/min"}]
[null,"Velocity check =",{"$f":"cvval(F68,G68,D68)","v":-6.7580543003379706E-2},"mach[s]","=F64",{"$f":"F64","v":-22.997205994411999},{"$f":"IF(AND(H64=H68), CVBaseUnit(D68), NA())","v":"(M/S)"},{"$f":"UCchkval(D68)","v":0.54838709677419351},{"$f":"B68&\" \"&TEXT(C68,\"0.00E+00\")&\" \"&D68","v":"Velocity check = -6.76E-02 mach[s]"}]
[]
[null,"Force-x, Fx =",{"$f":"cvval(F70,G70,D70)","v":22.199923563294298},"(LBF)","=F57*F58*(F66-F64)",{"$f":"F57*F58*(F66-F64)","v":98.750181212963994},{"$f":"IF(AND((H66=H64),(H57*H58)*(H66)=H70), CVBaseUnit(D70), NA())","v":"(((KG*M)/S^2))"},{"$f":"UCchkval(D70)","v":0.19458896982310095},{"$f":"B70&\" \"&TEXT(C70,\"0.00E+00\")&\" \"&D70","v":"Force-x, Fx = 2.22E+01 (LBF)"}]
[null,"Force-y, Fy =",{"$f":"cvval(F71,G71,D71)","v":-22.199923563294298},"(LBF)","=F57*F58*(F67-F65)",{"$f":"F57*F58*(F67-F65)","v":-98.750181212963994},{"$f":"IF(AND((H67=H65),(H57*H58)*(H67)=H71), CVBaseUnit(D71), NA())","v":"(((KG*M)/S^2))"},{"$f":"UCchkval(D71)","v":0.19458896982310095},{"$f":"B71&\" \"&TEXT(C71,\"0.00E+00\")&\" \"&D71","v":"Force-y, Fy = -2.22E+01 (LBF)"}]
[null,"Force magnitude, F =",{"$f":"cvval(F72,G72,D72)","v":31.3954329868569},"(LBF)","=(F70^2+F71^2)^(1/2)",{"$f":"(F70^2+F71^2)^(1/2)","v":139.65384555817448},{"$f":"IF(AND((H70^2=H71^2),(H71^2)^(1/2)=H72), CVBaseUnit(D72), NA())","v":"(((KG*M)/S^2))"},{"$f":"UCchkval(D72)","v":0.19458896982310095},{"$f":"B72&\" \"&TEXT(C72,\"0.00E+00\")&\" \"&D72","v":"Force magnitude, F = 3.14E+01 (LBF)"}]
[]
[]
[null,{"$f":"CELL(\"filename\")","v":"C:\\Users\\Owner\\Desktop\\[FreeStyle.xlsm]Intro"}]
[null,"Fluid Mechanics and Hydraulics, RV Giles, McGraw-Hill"]
[]
[]
[]
[null,"Parameter","Value","Unit","Comment","BaseVal","BaseUnit","ChkVal","text"]
[null,"Drag Coefficient, Cd =",0.2,"~","input value, Body, (bullet), see F94 calculated from empirical data",{"$f":"CVBaseVal(C81,D81)","v":0.2},{"$f":"CVBaseUnit(D81)","v":"(ITEM)"},{"$f":"UCchkval(D81)","v":1},{"$f":"B81&\" \"&TEXT(C81,\"0.00\")&\" \"&D81","v":"Drag Coefficient, Cd = 0.20 ~"}]
[null,"Diameter, particle sphere =",5.56,"mm","input value, Body,  (baseball)",{"$f":"CVBaseVal(C82,D82)","v":5.5599999999999998E-3},{"$f":"CVBaseUnit(D82)","v":"(M)"},{"$f":"UCchkval(D82)","v":17},{"$f":"B82&\" \"&TEXT(C82,\"0.00\")&\" \"&D82","v":"Diameter, particle sphere = 5.56 mm"}]
[null,"Area, A =",{"$f":"cvval(F83,G83,D83)","v":3.7633276495758199E-2},"in^2","=PI()/4*F82^2, circle",{"$f":"PI()/4*F82^2","v":2.4279484664003354E-5},{"$f":"IF(AND(H82^2=H83), CVBaseUnit(D83), NA())","v":"(M)^2"},{"$f":"UCchkval(D83)","v":289},{"$f":"B83&\" \"&TEXT(C83,\"0.00E+00\")&\" \"&D83","v":"Area, A = 3.76E-02 in^2"}]
[null,"Air temperature, Ta =",70,"degF","input value, ambient condition",{"$f":"CVBaseVal(C84,D84)","v":294.26111111111101},{"$f":"CVBaseUnit(D84)","v":"(DEGK)"},7,{"$f":"B84&\" \"&TEXT(C84,\"0.00\")&\" \"&D84","v":"Air temperature, Ta = 70.00 degF"}]
[null,"Air Pressure, Pa =",1,"atm","input value, ambient condition",{"$f":"CVBaseVal(C85,D85)","v":101325},{"$f":"CVBaseUnit(D85)","v":"(KG/(M*S^2))"},6.7331823468201016E-4,{"$f":"B85&\" \"&TEXT(C85,\"0.00\")&\" \"&D85","v":"Air Pressure, Pa = 1.00 atm"}]
[null,"Air Density, rho =",{"$f":"cvval(F86,G86,D86)","v":7.4460602544059007E-2},"lbm/ft^3","=AirDensity(F83,F84)",{"$f":"AirDensity(F84,F85)","v":1.1927372782027188},{"$f":"IF(AND(H84=UCchkval(\"degk\"),H85=UCchkval(\"atm\"),UCchkval(D86)=H86), CVBaseUnit(D86), NA())","v":"(KG)/(M)^3"},2.2389578668837776E-3,{"$f":"B86&\" \"&TEXT(C86,\"0.00E+00\")&\" \"&D86","v":"Air Density, rho = 7.45E-02 lbm/ft^3"}]
[null,"Gravity acceleration, g =",1,"g","input value, ambient condition",{"$f":"CVBaseVal(C87,D87)","v":9.8066499999999994},{"$f":"CVBaseUnit(D87)","v":"(M/S^2)"},{"$f":"UCchkval(D87)","v":1.7689906347554629E-2},{"$f":"B87&\" \"&TEXT(C87,\"0.00\")&\" \"&D87","v":"Gravity acceleration, g = 1.00 g"}]
[null,"Particle Density, rho-p =",5.6947002954390911,"gm/cc","input value, (sand)",{"$f":"CVBaseVal(C88,D88)","v":5694.70029543909},{"$f":"CVBaseUnit(D88)","v":"(KG)/(M^3)"},{"$f":"UCchkval(D88)","v":2.2389578668837776E-3},{"$f":"B88&\" \"&TEXT(C88,\"0.00\")&\" \"&D88","v":"Particle Density, rho-p = 5.69 gm/cc"}]
[null,"Particle mass, m =",{"$f":"cvval(F89,G89,D89)","v":63.272669247059902},"grain","=(4/3*PI()*F82^3)*F88, sphere * density",{"$f":"(4/3*PI()*F82^3)*F88","v":4.1000000000000029E-3},{"$f":"IF(AND((H82^3)*H88=H89), CVBaseUnit(D89), NA())","v":"(KG)"},{"$f":"UCchkval(D89)","v":11},{"$f":"B89&\" \"&TEXT(C89,\"0.00E+00\")&\" \"&D89","v":"Particle mass, m = 6.33E+01 grain"}]
[]
[null,"Terminal Velocity, Vt =",{"$f":"cvval(F91,G91,D91)","v":117.831155714218},"m/s","=((2*F89*F87)/(F86*F83*F81))^(1/2), wikipedia.org",{"$f":"((2*F89*F87)/(F86*F83*F81))^(1/2)","v":117.83115571421831},{"$f":"IF(AND(((H89*H87)/(H86*H83*H81))^(1/2)=H91), CVBaseUnit(D91), NA())","v":"(M)/(S)"},{"$f":"UCchkval(D91)","v":0.54838709677419351},{"$f":"B91&\" \"&TEXT(C91,\"0.00E+00\")&\" \"&D91","v":"Terminal Velocity, Vt = 1.18E+02 m/s"}]
[]
[null,"Aerodrag Factor, k =",{"$f":"cvval(F93,G93,D93)","v":3.4122779120928498E-4},"kg/s","=F89*F87/F91, kg/s",{"$f":"F89*F87/F91","v":3.4122779120928493E-4},{"$f":"IF(AND(H89*H87/H91=H93), CVBaseUnit(D93), NA())","v":"(KG)/(S)"},{"$f":"UCchkval(D93)","v":0.35483870967741937},{"$f":"B93&\" \"&TEXT(C93,\"0.00E+00\")&\" \"&D93","v":"Aerodrag Factor, k = 3.41E-04 kg/s"}]
[null,"Drag range to Vacuum range, Rd/Rv =",{"$f":"cvval(F94,G94,D94)","v":6.3739041327866897E-2},"~","Curve fit to empirical data = 1.266*F93^0.3744",{"$f":" 1.266*F93^0.3744","v":6.373904132786691E-2},{"$f":"IF(AND(H93/UCchkval(\"kg/s\")=H94), CVBaseUnit(D94), NA())","v":"(ITEM)"},1,{"$f":"B94&\" \"&TEXT(C94,\"0.00E+00\")&\" \"&D94","v":"Drag range to Vacuum range, Rd/Rv = 6.37E-02 ~"}]
[null,"Initial Velocity, V0 =",940,"m/s ","input value, Body at launch",{"$f":"CVBaseVal(C95,D95)","v":940},{"$f":"CVBaseUnit(D95)","v":"(M)/(S)"},0.54838709677419351,{"$f":"B95&\" \"&TEXT(C95,\"0.00\")&\" \"&D95","v":"Initial Velocity, V0 = 940.00 m/s "}]
[null,"Launch Angle, theta =",45,"deg","input value, Body at launch",{"$f":"CVBaseVal(C96,D96)","v":0.78539816339744895},{"$f":"CVBaseUnit(D96)","v":"(M/M)"},1,{"$f":"B96&\" \"&TEXT(C96,\"0.00\")&\" \"&D96","v":"Launch Angle, theta = 45.00 deg"}]
[null,"Vt/V0 =",{"$f":"cvval(F97,G97,D97)","v":0.12535229331299799},"~","=F91/F95",{"$f":"F91/F95","v":0.12535229331299821},{"$f":"IF(AND(H91/H95=H97), CVBaseUnit(D97), NA())","v":"(ITEM)"},1,{"$f":"B97&\" \"&TEXT(C97,\"0.00E+00\")&\" \"&D97","v":"Vt/V0 = 1.25E-01 ~"}]
[null,"Drag range to Vacuum range, Rd/Rv =",6.3E-2,"~","estimate, see F94 calculated from empirical data",{"$f":"CVBaseVal(C98,D98)","v":6.3E-2},{"$f":"CVBaseUnit(D98)","v":"(ITEM)"},1,{"$f":"B98&\" \"&TEXT(C98,\"0.00\")&\" \"&D98","v":"Drag range to Vacuum range, Rd/Rv = 0.06 ~"}]
[]
[null,"Vacuum range, Rv =",{"$f":"cvval(F100,G100,D100)","v":90.1021245787298},"km","=-2*(F95*COS(F96))*(F95*SIN(F96))/-F87",{"$f":"-2*(F95*COS(F96))*(F95*SIN(F96))/-F87","v":90102.124578729767},{"$f":"IF(AND(H96=1,H95*H95/H87=H100), CVBaseUnit(D100), NA())","v":"(M)"},{"$f":"UCchkval(D100)","v":17},{"$f":"B100&\" \"&TEXT(C100,\"0.00E+00\")&\" \"&D100","v":"Vacuum range, Rv = 9.01E+01 km"}]
[null,"Drag range, Rd =",{"$f":"cvval(F101,G101,D101)","v":5.6764338484599799},"km","=F100*F98",{"$f":"F100*F98","v":5676.4338484599757},{"$f":"IF(AND(H100*H98=H101), CVBaseUnit(D101), NA())","v":"(M)"},{"$f":"UCchkval(D101)","v":17},{"$f":"B101&\" \"&TEXT(C101,\"0.00E+00\")&\" \"&D101","v":"Drag range, Rd = 5.68E+00 km"}]
[null,"Vacuum Height at peak =",{"$f":"cvval(F102,G102,D102)","v":27.993376299436498},"mi","=(F95*SIN(F96))^2/(F87)",{"$f":"(F95*SIN(F96))^2/(F87)","v":45051.062289364934},{"$f":"IF(AND(H96=1,(H95)^2/(H87)=H102), CVBaseUnit(D102), NA())","v":"(M)"},{"$f":"UCchkval(D102)","v":17},{"$f":"B102&\" \"&TEXT(C102,\"0.00E+00\")&\" \"&D102","v":"Vacuum Height at peak = 2.80E+01 mi"}]
[null,"Drag height to Vacuum height, Hd/Hv =",0.5,"~","Measured from prior calcs, see F94 calculated from empirical data",{"$f":"CVBaseVal(C103,D103)","v":0.5},{"$f":"CVBaseUnit(D103)","v":"(ITEM)"},{"$f":"UCchkval(D103)","v":1},{"$f":"B103&\" \"&TEXT(C103,\"0.00\")&\" \"&D103","v":"Drag height to Vacuum height, Hd/Hv = 0.50 ~"}]
[null,"Drag height, Hd =",{"$f":"cvval(F104,G104,D104)","v":13.996688149718199},"mi","=F103*F102",{"$f":"F103*F102","v":22525.531144682467},{"$f":"IF(AND(H103*H102=H104), CVBaseUnit(D104), NA())","v":"(M)"},{"$f":"UCchkval(D104)","v":17},{"$f":"B104&\" \"&TEXT(C104,\"0.00E+00\")&\" \"&D104","v":"Drag height, Hd = 1.40E+01 mi"}]
[]
[]
[null,{"$f":"CELL(\"filename\")","v":"C:\\Users\\Owner\\Desktop\\[FreeStyle.xlsm]Intro"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"k","cd","rd/rv"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.9399999999999999E-2,4.3600000000000003,0.249]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.0500000000000001E-2,0.25,0.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.0399999999999998E-2,0.25,0.41]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.47399999999999998,0.14000000000000001,0.92]
[]
[]
[null,null,null,null,null,null,null,"(m)","(m)"]
[]
[null,null,null,null,null,null,"item","range","elevation"]
[null,null,null,null,null,null,"pingpong",0,0]
[null,null,null,null,null,null,"pingpong",26,19]
[null,null,null,null,null,null,"pingpong",35,0]
[null,null,null,null,null,null,"baseball",0,0]
[null,null,null,null,null,null,"baseball",80,40]
[null,null,null,null,null,null,"baseball",115,0]
[null,null,null,null,null,null,"bowling",0,0]
[null,null,null,null,null,null,"bowling",130,60]
[null,null,null,null,null,null,"bowling",220,0]
[null,null,null,null,null,null,"calc",0,0]
[null,null,null,null,null,null,"calc"]
[null,null,null,null,null,null,"calc",0]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"GOALSEEKVar Test:"]
[null,"min",50]
[null,"max",150]
[null,"step",0.01]
[null,"function",{"$f":"\"var*1.22-14.3\"","v":"var*1.22-14.3"}]
[null,"target",100]
[null,"value=",{"$f":"GoalSeekVar(C176,C172,C173,C174,C175)","v":93.69},"=GoalSeekVar(C27,C23,C24,C25,C26)"]

{"sheet":"Plot","index":4,"n_rows":85,"n_cols":12,"rows_kept":85,"cut":false,"hidden":true,"merged":[]}
[{"$f":"Data!A1","v":"VVES"}]
[{"$f":"Data!A2","v":"Analysis - FreeStyle Spreadsheet"}]
[{"$f":"Data!A3","v":"MJ Van Voorhis  2/11/2016, 8/25/16"}]
[null,null,null,null,null,null,"Coord_1",null,null,"Coord_2"]
[]
[null,null,null,null,null,null,"Angle Slider:",null,null,"Angle Slider:"]
[]
[]
[]
[null,null,null,null,null,null,"Ang_1 =",315,{"$f":"RADIANS(H10)","v":5.497787143782138},"Ang_2 =",404,{"$f":"RADIANS(K10)","v":7.0511301780570914}]
[null,"Scale =",0.4,null,null,null,"x0_1","y0_1","z0_1","x0_2","y0_2","z0_2"]
[null,null,null,null,null,null,0,0,0,0.7,0.2,0]
[null,null,null,null,null,null,"A_1","B_1","C_1","A_2","B_2","C_2"]
[null,null,null,null,null,null,1,0,0,0,1,1]
[]
[null,"Element","point","x","y","z","x_1","y_1","z_1","Plot_x","Plot_y","Plot_z"]
[null,"Axis-x","PtX0",0,0,0,{"$f":"CXFxp(G$12,H$12,I$12,G$14,H$14,I$14,I$10,$C$11*D17,$C$11*E17,$C$11*F17)","v":0},{"$f":"CXFyp(G$12,H$12,I$12,G$14,H$14,I$14,I$10,$C$11*D17,$C$11*E17,$C$11*F17)","v":0},{"$f":"CXFzp(G$12,H$12,I$12,G$14,H$14,I$14,I$10,$C$11*D17,$C$11*E17,$C$11*F17)","v":0},{"$f":"CXFxp(J$12,K$12,L$12,J$14,K$14,L$14,L$10,G17,H17,I17)","v":-0.7},{"$f":"CXFyp(J$12,K$12,L$12,J$14,K$14,L$14,L$10,G17,H17,I17)","v":-0.2},{"$f":"CXFzp(J$12,K$12,L$12,J$14,K$14,L$14,L$10,G17,H17,I17)","v":0}]
[null,{"$f":"B17","v":"Axis-x"},"PtX1",1,0,0,0.4,0,0,-0.41226407986453945,-0.39647905774382153,0.19647905774382154]
[null,"Axis-y","PtY0",0,0,0,0,0,0,-0.7,-0.2,0]
[null,{"$f":"B19","v":"Axis-y"},"PtY1",0,1,0,0,0.28284271247461895,0.28284271247461906,-0.7,8.284271247461894E-2,0.28284271247461901]
[null,"Axis-z","PtZ0",0,0,0,0,0,0,-0.7,-0.2,0]
[null,{"$f":"B21","v":"Axis-z"},"PtZ1",0,0,1,0,-0.28284271247461906,0.28284271247461895,-0.97786334818359877,-0.40346002031873501,0.20346002031873489]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"Element","point","x","y","z","x_1","y_1","z_1","Plot_x","Plot_y","Plot_z"]
[null,"Section1","Pt00",{"$f":"Section!$B$7","v":1},{"$f":"Section!$C$7","v":9},0,{"$f":"CXFxp(G$12,H$12,I$12,G$14,H$14,I$14,I$10,$C$11*D56,$C$11*E56,$C$11*F56)","v":0.4},{"$f":"CXFyp(G$12,H$12,I$12,G$14,H$14,I$14,I$10,$C$11*D56,$C$11*E56,$C$11*F56)","v":2.5455844122715705},{"$f":"CXFzp(G$12,H$12,I$12,G$14,H$14,I$14,I$10,$C$11*D56,$C$11*E56,$C$11*F56)","v":2.5455844122715718},{"$f":"CXFxp(J$12,K$12,L$12,J$14,K$14,L$14,L$10,G56,H56,I56)","v":-0.41226407986454006},{"$f":"CXFyp(J$12,K$12,L$12,J$14,K$14,L$14,L$10,G56,H56,I56)","v":2.149105354527749},{"$f":"CXFzp(J$12,K$12,L$12,J$14,K$14,L$14,L$10,G56,H56,I56)","v":2.7420634700153932}]
[null,{"$f":"B56","v":"Section1"},"Pt01",{"$f":"Section!$B$8","v":4.3},{"$f":"Section!$C$8","v":6.5},{"$f":"F56","v":0},1.72,1.8384776310850233,1.8384776310850239,0.53726445658247957,0.79361768278659062,2.6833375793834562]
[null,{"$f":"B57","v":"Section1"},"Pt02",{"$f":"Section!$B$9","v":7.6},{"$f":"Section!$C$9","v":5},{"$f":"F57","v":0},3.04,1.4142135623730947,1.4142135623730954,1.4867929930294992,-0.27902727647994902,2.907454401226139]
[null,"Section1","Pt03",{"$f":"Section!$B$10","v":10.899999999999999},{"$f":"Section!$C$10","v":4},0,4.3599999999999994,1.1313708498984758,1.1313708498984762,2.4363215294765181,-1.2102508795091789,3.2729925793061305]
[null,"Section1","Pt04",{"$f":"Section!$B$11","v":14.2},{"$f":"Section!$C$11","v":4},0,5.68,1.1313708498984758,1.1313708498984762,3.3858500659235382,-1.8586317700637898,3.9213734698607414]
[null,"Section1","Pt05",{"$f":"Section!$B$12","v":17.5},{"$f":"Section!$C$12","v":5},0,7,1.4142135623730947,1.4142135623730954,4.3353786023705583,-2.2241699481437824,4.8525970728899717]
[null,"Section1","Pt06",{"$f":"Section!$B$13","v":20.8},{"$f":"Section!$C$13","v":6.5},0,8.32,1.8384776310850233,1.8384776310850239,5.2849071388175783,-2.4482867699864643,5.9252420321565111]
[null,"Section1","Pt07",{"$f":"Section!$B$14","v":24.1},{"$f":"Section!$C$14","v":9},0,9.64,2.5455844122715705,2.5455844122715718,6.2344356752645966,-2.3895608793545291,7.2807297038976708]
[null,"Section1","Pt08",{"$f":"Section!$B$15","v":23.4},{"$f":"Section!$C$15","v":10.4},0,9.36,2.941564209736037,2.9415642097360384,6.0330205311697735,-1.8560457414693861,7.5391741609414611]
[null,"Section1","Pt08",{"$f":"Section!$B$16","v":20},{"$f":"Section!$C$16","v":7.9},0,8,2.2344574285494896,2.2344574285494909,5.0547184027092085,-1.8951237263269409,6.1640385834259215]
[null,"Section1","Pt09",{"$f":"Section!$B$17","v":17.5},{"$f":"Section!$C$17","v":6.4},0,7,1.8101933598375615,1.8101933598375624,4.3353786023705574,-1.8281901506793152,5.2485768703544391]
[null,"Section1","Pt10",{"$f":"Section!$B$18","v":14.2},{"$f":"Section!$C$18","v":5.4},0,5.68,1.5273506473629423,1.527350647362943,3.3858500659235382,-1.462651972599323,4.317353267325208]
[null,"Section1","Pt11",{"$f":"Section!$B$19","v":10.899999999999999},{"$f":"Section!$C$19","v":5.4},0,{"$f":"CXFxp(G$12,H$12,I$12,G$14,H$14,I$14,I$10,$C$11*D68,$C$11*E68,$C$11*F68)","v":4.3599999999999994},{"$f":"CXFyp(G$12,H$12,I$12,G$14,H$14,I$14,I$10,$C$11*D68,$C$11*E68,$C$11*F68)","v":1.5273506473629423},{"$f":"CXFzp(G$12,H$12,I$12,G$14,H$14,I$14,I$10,$C$11*D68,$C$11*E68,$C$11*F68)","v":1.527350647362943},{"$f":"CXFxp(J$12,K$12,L$12,J$14,K$14,L$14,L$10,G68,H68,I68)","v":2.4363215294765181},{"$f":"CXFyp(J$12,K$12,L$12,J$14,K$14,L$14,L$10,G68,H68,I68)","v":-0.8142710820447121},{"$f":"CXFzp(J$12,K$12,L$12,J$14,K$14,L$14,L$10,G68,H68,I68)","v":3.6689723767705971}]
[null,"Section1","Pt12",{"$f":"Section!$B$20","v":7.6},{"$f":"Section!$C$20","v":6.4},0,3.04,1.8101933598375615,1.8101933598375624,1.4867929930294992,0.11695252098451786,3.3034341986906055]
[null,"Section1","Pt13",{"$f":"Section!$B$21","v":4.8},{"$f":"Section!$C$21","v":7.9},0,1.92,2.2344574285494896,2.2344574285494909,0.68113241665020952,1.0913579513791463,3.1775569057198338]
[null,"Section2","Pt00",{"$f":"Section!$B$7","v":1},{"$f":"Section!$C$7","v":9},1,0.4,2.2627416997969516,2.8284271247461907,-0.69012742804813887,1.9456453342090143,2.9455234903341276]
[null,{"$f":"B71","v":"Section2"},"Pt01",{"$f":"Section!$B$8","v":4.3},{"$f":"Section!$C$8","v":6.5},{"$f":"F71","v":1},1.72,1.5556349186104041,2.1213203435596428,0.25940110839888075,0.5901576624678555,2.8867975997021911]
[null,{"$f":"B72","v":"Section2"},"Pt02",{"$f":"Section!$B$9","v":7.6},{"$f":"Section!$C$9","v":5},{"$f":"F72","v":1},3.04,1.1313708498984756,1.6970562748477143,1.2089296448459004,-0.48248729679868402,3.1109144215448739]
[null,"Section2","Pt03",{"$f":"Section!$B$10","v":10.899999999999999},{"$f":"Section!$C$10","v":4},1,4.3599999999999994,0.84852813742385669,1.4142135623730951,2.1584581812929198,-1.413710899827914,3.4764525996248654]
[null,"Section2","Pt04",{"$f":"Section!$B$11","v":14.2},{"$f":"Section!$C$11","v":4},1,5.68,0.84852813742385669,1.4142135623730951,3.107986717739939,-2.0620917903825249,4.1248334901794763]
[null,"Section2","Pt05",{"$f":"Section!$B$12","v":17.5},{"$f":"Section!$C$12","v":5},1,7,1.1313708498984756,1.6970562748477143,4.057515254186959,-2.4276299684625173,5.0560570932087066]
[null,"Section2","Pt06",{"$f":"Section!$B$13","v":20.8},{"$f":"Section!$C$13","v":6.5},1,8.32,1.5556349186104041,2.1213203435596428,5.0070437906339791,-2.6517467903051997,6.128702052475246]
[null,"Section2","Pt07",{"$f":"Section!$B$14","v":24.1},{"$f":"Section!$C$14","v":9},1,9.64,2.2627416997969516,2.8284271247461907,5.9565723270809974,-2.593020899673264,7.4841897242164057]
[null,"Section2","Pt08",{"$f":"Section!$B$15","v":23.4},{"$f":"Section!$C$15","v":10.4},1,9.36,2.6587214972614182,3.2244069222106573,5.7551571829861752,-2.0595057617881212,7.7426341812601969]
[null,"Section2","Pt08",{"$f":"Section!$B$16","v":20},{"$f":"Section!$C$16","v":7.9},1,8,1.9516147160748705,2.5173001410241098,4.7768550545256101,-2.0985837466456765,6.3674986037446555]
[null,"Section2","Pt09",{"$f":"Section!$B$17","v":17.5},{"$f":"Section!$C$17","v":6.4},1,7,1.5273506473629423,2.0930360723121813,4.057515254186959,-2.0316501709980503,5.452036890673174]
[null,"Section2","Pt10",{"$f":"Section!$B$18","v":14.2},{"$f":"Section!$C$18","v":5.4},1,5.68,1.2445079348883232,1.8101933598375619,3.1079867177399398,-1.6661119929180581,4.5208132876439429]
[null,"Section2","Pt11",{"$f":"Section!$B$19","v":10.899999999999999},{"$f":"Section!$C$19","v":5.4},1,{"$f":"CXFxp(G$12,H$12,I$12,G$14,H$14,I$14,I$10,$C$11*D83,$C$11*E83,$C$11*F83)","v":4.3599999999999994},{"$f":"CXFyp(G$12,H$12,I$12,G$14,H$14,I$14,I$10,$C$11*D83,$C$11*E83,$C$11*F83)","v":1.2445079348883232},{"$f":"CXFzp(G$12,H$12,I$12,G$14,H$14,I$14,I$10,$C$11*D83,$C$11*E83,$C$11*F83)","v":1.8101933598375619},{"$f":"CXFxp(J$12,K$12,L$12,J$14,K$14,L$14,L$10,G83,H83,I83)","v":2.1584581812929198},{"$f":"CXFyp(J$12,K$12,L$12,J$14,K$14,L$14,L$10,G83,H83,I83)","v":-1.0177311023634472},{"$f":"CXFzp(J$12,K$12,L$12,J$14,K$14,L$14,L$10,G83,H83,I83)","v":3.8724323970893324}]
[null,"Section2","Pt12",{"$f":"Section!$B$20","v":7.6},{"$f":"Section!$C$20","v":6.4},1,{"$f":"CXFxp(G$12,H$12,I$12,G$14,H$14,I$14,I$10,$C$11*D84,$C$11*E84,$C$11*F84)","v":3.04},{"$f":"CXFyp(G$12,H$12,I$12,G$14,H$14,I$14,I$10,$C$11*D84,$C$11*E84,$C$11*F84)","v":1.5273506473629423},{"$f":"CXFzp(G$12,H$12,I$12,G$14,H$14,I$14,I$10,$C$11*D84,$C$11*E84,$C$11*F84)","v":2.0930360723121813},{"$f":"CXFxp(J$12,K$12,L$12,J$14,K$14,L$14,L$10,G84,H84,I84)","v":1.2089296448459004},{"$f":"CXFyp(J$12,K$12,L$12,J$14,K$14,L$14,L$10,G84,H84,I84)","v":-8.6507499334217253E-2},{"$f":"CXFzp(J$12,K$12,L$12,J$14,K$14,L$14,L$10,G84,H84,I84)","v":3.5068942190093404}]
[null,"Section2","Pt13",{"$f":"Section!$B$21","v":4.8},{"$f":"Section!$C$21","v":7.9},1,{"$f":"CXFxp(G$12,H$12,I$12,G$14,H$14,I$14,I$10,$C$11*D85,$C$11*E85,$C$11*F85)","v":1.92},{"$f":"CXFyp(G$12,H$12,I$12,G$14,H$14,I$14,I$10,$C$11*D85,$C$11*E85,$C$11*F85)","v":1.9516147160748705},{"$f":"CXFzp(G$12,H$12,I$12,G$14,H$14,I$14,I$10,$C$11*D85,$C$11*E85,$C$11*F85)","v":2.5173001410241098},{"$f":"CXFxp(J$12,K$12,L$12,J$14,K$14,L$14,L$10,G85,H85,I85)","v":0.40326906846661048},{"$f":"CXFyp(J$12,K$12,L$12,J$14,K$14,L$14,L$10,G85,H85,I85)","v":0.88789793106041137},{"$f":"CXFzp(J$12,K$12,L$12,J$14,K$14,L$14,L$10,G85,H85,I85)","v":3.3810169260385683}]

{"sheet":"MonteCarlo","index":5,"n_rows":274,"n_cols":20,"rows_kept":274,"cut":false,"hidden":true,"merged":[]}
["CALCULATION WORKBOOK"]
["Analysis template"]
["xxxxxxxxxx   xx/xx/xx",null,null,"Press F9 to recalculate"]
[]
[null,"UNIFORM DISTRIBUTION",null,null,null,null,null,null,null,null,null,null,null,null,null,"NORMAL DISTRIBUTION"]
[]
[null,"Average","Range",null,null,null,null,null,null,null,null,null,null,null,null,"Average","Range"]
[null,10,10,null,null,null,null,null,null,null,null,null,null,null,null,10,10]
[]
[]
[null,"Case","Value",null,"bin","freq",null,null,null,null,null,null,null,null,null,"Case","Value",null,"bin","freq"]
[null,1,{"$f":"($C$8)*RAND()+($B$8-$C$8/2)","v":8.6899585333616791},null,{"$f":"($C$8)*0+($B$8-$C$8/2)","v":5},{"$f":"FREQUENCY(C12:C274,E12:E22)","v":0},null,null,null,null,null,null,null,null,null,1,{"$f":"((($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2)))/5","v":8.6302088280551263},null,{"$f":"($Q$8)*0+($P$8-$Q$8/2)","v":5},{"$f":"FREQUENCY(Q12:Q274,S12:S22)","v":0}]
[null,2,6.6400167764562266,null,{"$f":"($C$8)*0.1+($B$8-$C$8/2)","v":6},15,null,null,null,null,null,null,null,null,null,2,{"$f":"((($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2)))/5","v":10.211484167944223},null,{"$f":"($Q$8)*0.1+($P$8-$Q$8/2)","v":6},0]
[null,3,7.3918314329075887,null,{"$f":"($C$8)*0.2+($B$8-$C$8/2)","v":7},34,null,null,null,null,null,null,null,null,null,3,9.1562834497909638,null,{"$f":"($Q$8)*0.2+($P$8-$Q$8/2)","v":7},3]
[null,4,8.912929382126574,null,{"$f":"($C$8)*0.3+($B$8-$C$8/2)","v":8},27,null,null,null,null,null,null,null,null,null,4,9.1293564354069296,null,{"$f":"($Q$8)*0.3+($P$8-$Q$8/2)","v":8},16]
[null,5,11.770635137620884,null,{"$f":"($C$8)*0.4+($B$8-$C$8/2)","v":9},31,null,null,null,null,null,null,null,null,null,5,10.339524191507357,null,{"$f":"($Q$8)*0.4+($P$8-$Q$8/2)","v":9},42]
[null,6,13.331659374362877,null,{"$f":"($C$8)*0.5+($B$8-$C$8/2)","v":10},21,null,null,null,null,null,null,null,null,null,6,9.1756924911877942,null,{"$f":"($Q$8)*0.5+($P$8-$Q$8/2)","v":10},79]
[null,7,12.352649771331418,null,{"$f":"($C$8)*0.6+($B$8-$C$8/2)","v":11},27,null,null,null,null,null,null,null,null,null,7,10.515698651118344,null,{"$f":"($Q$8)*0.6+($P$8-$Q$8/2)","v":11},68]
[null,8,11.541874939196557,null,{"$f":"($C$8)*0.7+($B$8-$C$8/2)","v":12},27,null,null,null,null,null,null,null,null,null,8,10.71573687454854,null,{"$f":"($Q$8)*0.7+($P$8-$Q$8/2)","v":12},42]
[null,9,11.238566765687242,null,{"$f":"($C$8)*0.8+($B$8-$C$8/2)","v":13},27,null,null,null,null,null,null,null,null,null,9,11.276085114638699,null,{"$f":"($Q$8)*0.8+($P$8-$Q$8/2)","v":13},10]
[null,10,10.790792182047287,null,{"$f":"($C$8)*0.9+($B$8-$C$8/2)","v":14},23,null,null,null,null,null,null,null,null,null,10,9.1444746834621711,null,{"$f":"($Q$8)*0.9+($P$8-$Q$8/2)","v":14},3]
[null,11,14.752025545810886,null,{"$f":"($C$8)*1+($B$8-$C$8/2)","v":15},31,null,null,null,null,null,null,null,null,null,11,8.5815176156509807,null,{"$f":"($Q$8)*1+($P$8-$Q$8/2)","v":15},0]
[null,12,14.07580278690498,null,null,null,null,null,null,null,null,null,null,null,null,12,7.7697194061223156]
[null,13,6.9258645660389355,null,null,null,null,null,null,null,null,null,null,null,null,13,10.669441574527868]
[null,14,9.2543006596306583,null,null,null,null,null,null,null,null,null,null,null,null,14,9.2483587249265913]
[null,15,13.341704017605435,null,null,null,null,null,null,null,null,null,null,null,null,15,9.9151779783468594]
[null,16,14.692185253480082,null,null,null,null,null,null,null,null,null,null,null,null,16,8.5234587786361686]
[null,17,10.290422898859497,null,null,null,null,null,null,null,null,null,null,null,null,17,9.049856120532576]
[null,18,14.313214938816955,null,null,null,null,null,null,null,null,null,null,null,null,18,7.469412984079435]
[null,19,9.7629579831869044,null,null,null,null,null,null,null,null,null,null,null,null,19,10.393557412211106]
[null,20,11.98230209926345,null,null,null,null,null,null,null,null,null,null,null,null,20,11.63645397445273]
[null,21,10.143563615139762,null,null,null,null,null,null,null,null,null,null,null,null,21,9.4394586842218295]
[null,22,5.3581189986878339,null,null,null,null,null,null,null,null,null,null,null,null,22,7.8510489507924301]
[null,23,7.9193603097061027,null,null,null,null,null,null,null,null,null,null,null,null,23,9.3568129613971411]
[null,24,12.383646265684433,null,null,null,null,null,null,null,null,null,null,null,null,24,11.494466565627388]
[null,25,12.452616175135578,null,null,null,null,null,null,null,null,null,null,null,null,25,9.3440879455501449]
[null,26,12.816475928671625,null,null,null,null,null,null,null,null,null,null,null,null,26,8.6726854348371951]
[null,27,12.643830910912104,null,null,null,null,null,null,null,null,null,null,null,null,27,9.6048401617506656]
[null,28,14.979908833697642,null,null,null,null,null,null,null,null,null,null,null,null,28,9.935728389973697]
[null,29,14.325613380843894,null,null,null,null,null,null,null,null,null,null,null,null,29,9.9771842340859394]
[null,30,10.428209162630017,null,null,null,null,null,null,null,null,null,null,null,null,30,9.7877245346360588]
[null,31,6.5066275139244256,null,null,null,null,null,null,null,null,null,null,null,null,31,7.98734524680936]
[null,32,8.2171400802245245,null,null,null,null,null,null,null,null,null,null,null,null,32,9.9997948589889099]
[null,33,8.5574118086608948,null,null,null,null,null,null,null,null,null,null,null,null,33,10.814556118806061]
[null,34,13.661492874362725,null,null,null,null,null,null,null,null,null,null,null,null,34,10.954807547803899]
[null,35,12.310833873209567,null,null,null,null,null,null,null,null,null,null,null,null,35,9.6452562987372517]
[null,36,6.8255120828842406,null,null,null,null,null,null,null,null,null,null,null,null,36,8.5784158909063226]
[null,37,10.999957793999044,null,null,null,null,null,null,null,null,null,null,null,null,37,10.058701891673143]
[null,38,9.0852959757143115,null,null,null,null,null,null,null,null,null,null,null,null,38,10.050105364296083]
[null,39,11.430304763257741,null,null,null,null,null,null,null,null,null,null,null,null,39,8.6459583562607207]
[null,40,8.7944513135209696,null,null,null,null,null,null,null,null,null,null,null,null,40,10.50963071942231]
[null,41,9.2409711328021764,null,null,null,null,null,null,null,null,null,null,null,null,41,11.763730784722991]
[null,42,10.04124741548946,null,null,null,null,null,null,null,null,null,null,null,null,42,11.176102576730047]
[null,43,11.015677295917861,null,null,null,null,null,null,null,null,null,null,null,null,43,10.541726745691907]
[null,44,7.8894515673261258,null,null,null,null,null,null,null,null,null,null,null,null,44,10.312944228260562]
[null,45,6.8144116756204118,null,null,null,null,null,null,null,null,null,null,null,null,45,8.4837070025541177]
[null,46,9.1649205787907739,null,null,null,null,null,null,null,null,null,null,null,null,46,9.2911868565953206]
[null,47,8.5116866200932151,null,null,null,null,null,null,null,null,null,null,null,null,47,7.6934947903167794]
[null,48,11.294211111163218,null,null,null,null,null,null,null,null,null,null,null,null,48,8.8315795538070319]
[null,49,7.8741097755442198,null,null,null,null,null,null,null,null,null,null,null,null,49,11.187707210419054]
[null,50,14.536704383498792,null,null,null,null,null,null,null,null,null,null,null,null,50,11.096114538338352]
[null,51,10.682790905054475,null,null,null,null,null,null,null,null,null,null,null,null,51,8.3268670038761776]
[null,52,6.7281897597646214,null,null,null,null,null,null,null,null,null,null,null,null,52,8.068501736958904]
[null,53,12.805901147661388,null,null,null,null,null,null,null,null,null,null,null,null,53,8.5668534889355037]
[null,54,8.1199489081767204,null,null,null,null,null,null,null,null,null,null,null,null,54,7.4532294830518682]
[null,55,7.9969618573311436,null,null,null,null,null,null,null,null,null,null,null,null,55,9.8031319712833813]
[null,56,10.85955329844311,null,null,null,null,null,null,null,null,null,null,null,null,56,10.638176046761417]
[null,57,9.9253538442328484,null,null,null,null,null,null,null,null,null,null,null,null,57,7.3822118653926312]
[null,58,12.899078177298271,null,null,null,null,null,null,null,null,null,null,null,null,58,12.330200865456403]
[null,59,8.1788268851682808,null,null,null,null,null,null,null,null,null,null,null,null,59,9.2135115705909048]
[null,60,7.6628884944995788,null,null,null,null,null,null,null,null,null,null,null,null,60,9.0026143104370782]
[null,61,7.9240087437462403,null,null,null,null,null,null,null,null,null,null,null,null,61,11.571753498997751]
[null,62,9.7061342884107695,null,null,null,null,null,null,null,null,null,null,null,null,62,9.8168228035415588]
[null,63,13.159459488339905,null,null,null,null,null,null,null,null,null,null,null,null,63,13.50700401355831]
[null,64,9.489376868926378,null,null,null,null,null,null,null,null,null,null,null,null,64,6.6882753255215066]
[null,65,{"$f":"($C$8)*RAND()+($B$8-$C$8/2)","v":7.0271077289861168},null,null,null,null,null,null,null,null,null,null,null,null,65,9.5943153506759984]
[null,66,11.851919022793474,null,null,null,null,null,null,null,null,null,null,null,null,66,{"$f":"((($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2)))/5","v":10.582022159171377}]
[null,67,13.232291227211949,null,null,null,null,null,null,null,null,null,null,null,null,67,11.578559414992199]
[null,68,8.1781039561929614,null,null,null,null,null,null,null,null,null,null,null,null,68,8.142325169198994]
[null,69,7.1015317329066363,null,null,null,null,null,null,null,null,null,null,null,null,69,9.1484689983966465]
[null,70,6.2308059957686215,null,null,null,null,null,null,null,null,null,null,null,null,70,10.249503795355439]
[null,71,5.0741894835406729,null,null,null,null,null,null,null,null,null,null,null,null,71,11.071600483817216]
[null,72,11.339460955664723,null,null,null,null,null,null,null,null,null,null,null,null,72,9.0607179622639062]
[null,73,10.516598630377548,null,null,null,null,null,null,null,null,null,null,null,null,73,10.987252246892144]
[null,74,10.694244211437873,null,null,null,null,null,null,null,null,null,null,null,null,74,11.400614345907078]
[null,75,11.06792173760728,null,null,null,null,null,null,null,null,null,null,null,null,75,8.8888201764336365]
[null,76,13.319746050119402,null,null,null,null,null,null,null,null,null,null,null,null,76,12.090853895452746]
[null,77,5.5151166779507648,null,null,null,null,null,null,null,null,null,null,null,null,77,10.348810694041131]
[null,78,9.6166599626597584,null,null,null,null,null,null,null,null,null,null,null,null,78,11.82358012356598]
[null,79,13.813483208445859,null,null,null,null,null,null,null,null,null,null,null,null,79,12.306977139300651]
[null,80,14.519704618251527,null,null,null,null,null,null,null,null,null,null,null,null,80,9.9280213220958142]
[null,81,12.813759285641389,null,null,null,null,null,null,null,null,null,null,null,null,81,10.412371571698642]
[null,82,12.222458648166461,null,null,null,null,null,null,null,null,null,null,null,null,82,8.7660477792604858]
[null,83,10.157865206812708,null,null,null,null,null,null,null,null,null,null,null,null,83,11.417826567551817]
[null,84,14.986560569662844,null,null,null,null,null,null,null,null,null,null,null,null,84,9.7549603244462908]
[null,85,14.819673310171201,null,null,null,null,null,null,null,null,null,null,null,null,85,9.0522801177703123]
[null,86,6.7690120376291132,null,null,null,null,null,null,null,null,null,null,null,null,86,10.881983703415983]
[null,87,11.589461624078039,null,null,null,null,null,null,null,null,null,null,null,null,87,10.232717684815162]
[null,88,6.7652537764184748,null,null,null,null,null,null,null,null,null,null,null,null,88,9.4251656568250421]
[null,89,7.4852460568154164,null,null,null,null,null,null,null,null,null,null,null,null,89,11.236669023442021]
[null,90,10.396932406005693,null,null,null,null,null,null,null,null,null,null,null,null,90,12.348558973058099]
[null,91,14.144580422652405,null,null,null,null,null,null,null,null,null,null,null,null,91,9.1369986741754268]
[null,92,5.127771331510659,null,null,null,null,null,null,null,null,null,null,null,null,92,10.583525155183867]
[null,93,7.797024655220782,null,null,null,null,null,null,null,null,null,null,null,null,93,10.355703530500319]
[null,94,14.439835730456105,null,null,null,null,null,null,null,null,null,null,null,null,94,9.9802128273227542]
[null,95,10.611610538587303,null,null,null,null,null,null,null,null,null,null,null,null,95,10.965805766227108]
[null,96,14.832914111371847,null,null,null,null,null,null,null,null,null,null,null,null,96,10.036988074306752]
[null,97,6.662977407410521,null,null,null,null,null,null,null,null,null,null,null,null,97,9.1820781690957212]
[null,98,9.7574200366965549,null,null,null,null,null,null,null,null,null,null,null,null,98,11.028705581108683]
[null,99,7.4932321272797884,null,null,null,null,null,null,null,null,null,null,null,null,99,11.268843013223238]
[null,100,10.084784542681819,null,null,null,null,null,null,null,null,null,null,null,null,100,9.6216293044397183]
[null,101,11.349575416672655,null,null,null,null,null,null,null,null,null,null,null,null,101,10.219996171575565]
[null,102,7.3017117201613235,null,null,null,null,null,null,null,null,null,null,null,null,102,10.68276642654671]
[null,103,11.986753288324197,null,null,null,null,null,null,null,null,null,null,null,null,103,10.524779277230525]
[null,104,8.54919389718048,null,null,null,null,null,null,null,null,null,null,null,null,104,8.4342199495656232]
[null,105,9.9648019139336341,null,null,null,null,null,null,null,null,null,null,null,null,105,9.8603186318036879]
[null,106,7.2949971887550147,null,null,null,null,null,null,null,null,null,null,null,null,106,11.376708172296869]
[null,107,9.9786929849429136,null,null,null,null,null,null,null,null,null,null,null,null,107,9.7162178559794423]
[null,108,9.4356891318328877,null,null,null,null,null,null,null,null,null,null,null,null,108,7.8162845291583265]
[null,109,11.217441284263597,null,null,null,null,null,null,null,null,null,null,null,null,109,8.9316259645647946]
[null,110,6.9324988175491118,null,null,null,null,null,null,null,null,null,null,null,null,110,9.5184048346967476]
[null,111,10.962065965776553,null,null,null,null,null,null,null,null,null,null,null,null,111,10.496982482732276]
[null,112,5.305567168888965,null,null,null,null,null,null,null,null,null,null,null,null,112,8.9286428271492273]
[null,113,13.51559408654084,null,null,null,null,null,null,null,null,null,null,null,null,113,8.0127319822688428]
[null,114,12.433921223181292,null,null,null,null,null,null,null,null,null,null,null,null,114,9.8438230072135351]
[null,115,9.3815901523661509,null,null,null,null,null,null,null,null,null,null,null,null,115,9.1416188648667891]
[null,116,11.551954344620516,null,null,null,null,null,null,null,null,null,null,null,null,116,11.00770370975899]
[null,117,14.89645782230583,null,null,null,null,null,null,null,null,null,null,null,null,117,9.9230917176331666]
[null,118,14.76010001681929,null,null,null,null,null,null,null,null,null,null,null,null,118,8.4261163686338385]
[null,119,13.790133652838177,null,null,null,null,null,null,null,null,null,null,null,null,119,10.5971135591093]
[null,120,8.9695938481964461,null,null,null,null,null,null,null,null,null,null,null,null,120,9.6698709706726795]
[null,121,11.088237290312637,null,null,null,null,null,null,null,null,null,null,null,null,121,13.061002661431555]
[null,122,6.3652725600648177,null,null,null,null,null,null,null,null,null,null,null,null,122,11.87166344690252]
[null,123,14.64899067157895,null,null,null,null,null,null,null,null,null,null,null,null,123,13.282757889596983]
[null,124,9.1784943538265082,null,null,null,null,null,null,null,null,null,null,null,null,124,12.150964819334735]
[null,125,8.6385650196882953,null,null,null,null,null,null,null,null,null,null,null,null,125,8.7273799213635037]
[null,126,7.5439798556069002,null,null,null,null,null,null,null,null,null,null,null,null,126,10.235883552419741]
[null,127,6.9842095005603619,null,null,null,null,null,null,null,null,null,null,null,null,127,7.6527343365485976]
[null,128,8.8411550578122302,null,null,null,null,null,null,null,null,null,null,null,null,128,10.330734631600068]
[null,129,{"$f":"($C$8)*RAND()+($B$8-$C$8/2)","v":13.049105028546034},null,null,null,null,null,null,null,null,null,null,null,null,129,10.085931781657985]
[null,130,12.19369128639315,null,null,null,null,null,null,null,null,null,null,null,null,130,{"$f":"((($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2)))/5","v":8.6991263264828831}]
[null,131,8.396904053515744,null,null,null,null,null,null,null,null,null,null,null,null,131,10.926156502177722]
[null,132,14.649541984137716,null,null,null,null,null,null,null,null,null,null,null,null,132,8.0045259844124281]
[null,133,5.2883108223768875,null,null,null,null,null,null,null,null,null,null,null,null,133,9.7237487753853493]
[null,134,13.998722385818393,null,null,null,null,null,null,null,null,null,null,null,null,134,10.787822844237059]
[null,135,13.755748882695611,null,null,null,null,null,null,null,null,null,null,null,null,135,10.753184170542973]
[null,136,8.1562221824756911,null,null,null,null,null,null,null,null,null,null,null,null,136,9.4493318029085049]
[null,137,13.880106368269002,null,null,null,null,null,null,null,null,null,null,null,null,137,10.457987212351531]
[null,138,7.2200533770405029,null,null,null,null,null,null,null,null,null,null,null,null,138,9.7631323290963081]
[null,139,9.4936990697393675,null,null,null,null,null,null,null,null,null,null,null,null,139,9.8550174949818334]
[null,140,7.638564518841827,null,null,null,null,null,null,null,null,null,null,null,null,140,10.74144456358783]
[null,141,14.88354412607195,null,null,null,null,null,null,null,null,null,null,null,null,141,10.341443403595227]
[null,142,9.217639831092086,null,null,null,null,null,null,null,null,null,null,null,null,142,7.3848681579708542]
[null,143,6.0360119246864361,null,null,null,null,null,null,null,null,null,null,null,null,143,9.6053698552927731]
[null,144,10.019529018871214,null,null,null,null,null,null,null,null,null,null,null,null,144,8.4644706488042623]
[null,145,14.377309103351216,null,null,null,null,null,null,null,null,null,null,null,null,145,9.7323838437675132]
[null,146,12.521148762481127,null,null,null,null,null,null,null,null,null,null,null,null,146,8.5770790306214693]
[null,147,12.238221700900906,null,null,null,null,null,null,null,null,null,null,null,null,147,8.3536229450895352]
[null,148,6.8623224998775907,null,null,null,null,null,null,null,null,null,null,null,null,148,9.6458507070161108]
[null,149,10.505911244627791,null,null,null,null,null,null,null,null,null,null,null,null,149,10.087025197903607]
[null,150,11.747547517243879,null,null,null,null,null,null,null,null,null,null,null,null,150,9.1732894329110373]
[null,151,8.4174001246154884,null,null,null,null,null,null,null,null,null,null,null,null,151,11.4937937859219]
[null,152,11.641976958441413,null,null,null,null,null,null,null,null,null,null,null,null,152,9.4333951306454296]
[null,153,7.2144796417312875,null,null,null,null,null,null,null,null,null,null,null,null,153,10.76197243277181]
[null,154,13.053083107421068,null,null,null,null,null,null,null,null,null,null,null,null,154,9.2399174167546008]
[null,155,6.5360768219504619,null,null,null,null,null,null,null,null,null,null,null,null,155,9.1493762554603677]
[null,156,12.688793249860462,null,null,null,null,null,null,null,null,null,null,null,null,156,12.251055043911384]
[null,157,13.131499451114165,null,null,null,null,null,null,null,null,null,null,null,null,157,7.7747353517468794]
[null,158,7.7897149557359455,null,null,null,null,null,null,null,null,null,null,null,null,158,10.452178071805108]
[null,159,12.701209585178674,null,null,null,null,null,null,null,null,null,null,null,null,159,10.052702028537485]
[null,160,7.6385261689832262,null,null,null,null,null,null,null,null,null,null,null,null,160,6.5742969772068509]
[null,161,5.5967959481975473,null,null,null,null,null,null,null,null,null,null,null,null,161,11.463542912122545]
[null,162,6.0999594952607055,null,null,null,null,null,null,null,null,null,null,null,null,162,11.338952383254435]
[null,163,6.8934876599797228,null,null,null,null,null,null,null,null,null,null,null,null,163,9.8512677021221684]
[null,164,11.785443357734998,null,null,null,null,null,null,null,null,null,null,null,null,164,12.464888421638864]
[null,165,5.2307717617754026,null,null,null,null,null,null,null,null,null,null,null,null,165,8.8424531641948665]
[null,166,14.431326135274618,null,null,null,null,null,null,null,null,null,null,null,null,166,10.414206749132726]
[null,167,6.9673643485393901,null,null,null,null,null,null,null,null,null,null,null,null,167,8.3598272527752755]
[null,168,6.7144725065182023,null,null,null,null,null,null,null,null,null,null,null,null,168,10.099192532095039]
[null,169,10.683163629899532,null,null,null,null,null,null,null,null,null,null,null,null,169,8.7799649647671956]
[null,170,13.444171641539491,null,null,null,null,null,null,null,null,null,null,null,null,170,8.4618379934002981]
[null,171,6.8224440718268644,null,null,null,null,null,null,null,null,null,null,null,null,171,7.9216610041476825]
[null,172,8.3352743681308414,null,null,null,null,null,null,null,null,null,null,null,null,172,8.2208029335672848]
[null,173,10.008216241310382,null,null,null,null,null,null,null,null,null,null,null,null,173,10.88973178894372]
[null,174,7.1958810101915613,null,null,null,null,null,null,null,null,null,null,null,null,174,10.13438720490478]
[null,175,7.2453579389846219,null,null,null,null,null,null,null,null,null,null,null,null,175,9.0465112284797229]
[null,176,10.227322075545382,null,null,null,null,null,null,null,null,null,null,null,null,176,10.134312482855293]
[null,177,6.1948427113570323,null,null,null,null,null,null,null,null,null,null,null,null,177,10.796547538152041]
[null,178,14.333753311460907,null,null,null,null,null,null,null,null,null,null,null,null,178,9.3377602515533713]
[null,179,5.1753186701702401,null,null,null,null,null,null,null,null,null,null,null,null,179,10.961472341006942]
[null,180,12.346978424006556,null,null,null,null,null,null,null,null,null,null,null,null,180,9.8045140693991328]
[null,181,5.5028276903182025,null,null,null,null,null,null,null,null,null,null,null,null,181,9.2388941264367439]
[null,182,13.781908156504576,null,null,null,null,null,null,null,null,null,null,null,null,182,8.9764700089690344]
[null,183,6.8415899858190334,null,null,null,null,null,null,null,null,null,null,null,null,183,11.616170495513277]
[null,184,10.61558616118141,null,null,null,null,null,null,null,null,null,null,null,null,184,9.9767416386429382]
[null,185,10.130848320167249,null,null,null,null,null,null,null,null,null,null,null,null,185,11.999952633472393]
[null,186,9.4734507636054293,null,null,null,null,null,null,null,null,null,null,null,null,186,10.696486480358406]
[null,187,6.8218315616455811,null,null,null,null,null,null,null,null,null,null,null,null,187,11.444041913906968]
[null,188,12.579740194475956,null,null,null,null,null,null,null,null,null,null,null,null,188,8.5677440230241455]
[null,189,7.9532264394698,null,null,null,null,null,null,null,null,null,null,null,null,189,9.2934498170804041]
[null,190,13.726410081048776,null,null,null,null,null,null,null,null,null,null,null,null,190,11.187336986884297]
[null,191,8.2448474506960991,null,null,null,null,null,null,null,null,null,null,null,null,191,11.693808875605779]
[null,192,5.4895905723325988,null,null,null,null,null,null,null,null,null,null,null,null,192,8.6757309084190268]
[null,193,{"$f":"($C$8)*RAND()+($B$8-$C$8/2)","v":8.1734172481027585},null,null,null,null,null,null,null,null,null,null,null,null,193,7.7786908656419254]
[null,194,8.3630809288005832,null,null,null,null,null,null,null,null,null,null,null,null,194,{"$f":"((($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2)))/5","v":10.987054122447702}]
[null,195,8.6199591367722839,null,null,null,null,null,null,null,null,null,null,null,null,195,11.105054015556576]
[null,196,12.18842608982443,null,null,null,null,null,null,null,null,null,null,null,null,196,9.4404722116512687]
[null,197,8.9371298999912074,null,null,null,null,null,null,null,null,null,null,null,null,197,10.492969791462542]
[null,198,6.5256825848041133,null,null,null,null,null,null,null,null,null,null,null,null,198,9.0269931988777756]
[null,199,6.6374776976864061,null,null,null,null,null,null,null,null,null,null,null,null,199,10.363927155971611]
[null,200,13.104078702092213,null,null,null,null,null,null,null,null,null,null,null,null,200,10.287061971380117]
[null,201,5.0062579516393511,null,null,null,null,null,null,null,null,null,null,null,null,201,9.7059632892693379]
[null,202,11.678238422740016,null,null,null,null,null,null,null,null,null,null,null,null,202,11.408032378180394]
[null,203,13.51653768208573,null,null,null,null,null,null,null,null,null,null,null,null,203,9.7836941725855464]
[null,204,9.9832062808190951,null,null,null,null,null,null,null,null,null,null,null,null,204,8.0960707914437275]
[null,205,14.148420650305638,null,null,null,null,null,null,null,null,null,null,null,null,205,11.504111752028759]
[null,206,11.731590538206831,null,null,null,null,null,null,null,null,null,null,null,null,206,10.297192550253762]
[null,207,9.1142351873167371,null,null,null,null,null,null,null,null,null,null,null,null,207,8.9850246052786158]
[null,208,11.236404381672383,null,null,null,null,null,null,null,null,null,null,null,null,208,8.8176566474222149]
[null,209,14.282751964397905,null,null,null,null,null,null,null,null,null,null,null,null,209,10.05646401481061]
[null,210,11.38502102001754,null,null,null,null,null,null,null,null,null,null,null,null,210,8.2908541293339759]
[null,211,6.0251696853008552,null,null,null,null,null,null,null,null,null,null,null,null,211,10.663507827745399]
[null,212,8.5121888147215472,null,null,null,null,null,null,null,null,null,null,null,null,212,9.8726848574869734]
[null,213,8.9342461510675637,null,null,null,null,null,null,null,null,null,null,null,null,213,9.4602747981916799]
[null,214,8.8246881007700289,null,null,null,null,null,null,null,null,null,null,null,null,214,7.9784657695687855]
[null,215,14.669060946069935,null,null,null,null,null,null,null,null,null,null,null,null,215,8.9841053302056917]
[null,216,14.045059663208328,null,null,null,null,null,null,null,null,null,null,null,null,216,9.8726449937935179]
[null,217,7.2374194526315758,null,null,null,null,null,null,null,null,null,null,null,null,217,11.423124892770918]
[null,218,12.294293039535468,null,null,null,null,null,null,null,null,null,null,null,null,218,12.387846522421082]
[null,219,5.4060197128553646,null,null,null,null,null,null,null,null,null,null,null,null,219,11.608907049703912]
[null,220,6.6934735443292617,null,null,null,null,null,null,null,null,null,null,null,null,220,9.4541784805494142]
[null,221,14.618375677066453,null,null,null,null,null,null,null,null,null,null,null,null,221,6.5590494811345206]
[null,222,12.281363527000948,null,null,null,null,null,null,null,null,null,null,null,null,222,11.130604914798056]
[null,223,12.096888163645065,null,null,null,null,null,null,null,null,null,null,null,null,223,9.8373803518973801]
[null,224,10.248795535294398,null,null,null,null,null,null,null,null,null,null,null,null,224,9.6731409411660767]
[null,225,11.113890468926122,null,null,null,null,null,null,null,null,null,null,null,null,225,9.2325460143461537]
[null,226,13.644921898512759,null,null,null,null,null,null,null,null,null,null,null,null,226,9.0017977490448846]
[null,227,10.272583215672519,null,null,null,null,null,null,null,null,null,null,null,null,227,9.0053595193387359]
[null,228,6.4988741419532818,null,null,null,null,null,null,null,null,null,null,null,null,228,10.818937773988489]
[null,229,14.520264416761167,null,null,null,null,null,null,null,null,null,null,null,null,229,12.362202089559139]
[null,230,5.6631655375811647,null,null,null,null,null,null,null,null,null,null,null,null,230,9.5160435070332703]
[null,231,7.1762814943842477,null,null,null,null,null,null,null,null,null,null,null,null,231,9.9932226216036106]
[null,232,8.5741273020303161,null,null,null,null,null,null,null,null,null,null,null,null,232,9.1969637168435199]
[null,233,8.464726109784408,null,null,null,null,null,null,null,null,null,null,null,null,233,11.6637835171516]
[null,234,9.0225810865611464,null,null,null,null,null,null,null,null,null,null,null,null,234,9.6614593359257075]
[null,235,12.823268789786749,null,null,null,null,null,null,null,null,null,null,null,null,235,11.294041479530305]
[null,236,8.9611425559314934,null,null,null,null,null,null,null,null,null,null,null,null,236,10.690286498708977]
[null,237,10.870331680723467,null,null,null,null,null,null,null,null,null,null,null,null,237,12.381853357197263]
[null,238,6.0203779454145554,null,null,null,null,null,null,null,null,null,null,null,null,238,11.478436566760172]
[null,239,6.8177257199669574,null,null,null,null,null,null,null,null,null,null,null,null,239,8.5278798217858629]
[null,240,13.685443881030681,null,null,null,null,null,null,null,null,null,null,null,null,240,10.078219909357212]
[null,241,14.54822029019693,null,null,null,null,null,null,null,null,null,null,null,null,241,10.298394838569134]
[null,242,14.445199841467796,null,null,null,null,null,null,null,null,null,null,null,null,242,10.898356321852333]
[null,243,12.296424663935946,null,null,null,null,null,null,null,null,null,null,null,null,243,11.113362884321718]
[null,244,7.2594547099443654,null,null,null,null,null,null,null,null,null,null,null,null,244,9.8478673984101111]
[null,245,11.367681271074126,null,null,null,null,null,null,null,null,null,null,null,null,245,11.03727710932298]
[null,246,7.25827713504414,null,null,null,null,null,null,null,null,null,null,null,null,246,9.558538794093419]
[null,247,12.412576592142926,null,null,null,null,null,null,null,null,null,null,null,null,247,9.9878847484951017]
[null,248,13.247353650895436,null,null,null,null,null,null,null,null,null,null,null,null,248,10.954406191024892]
[null,249,5.6734194076376268,null,null,null,null,null,null,null,null,null,null,null,null,249,11.977600806626102]
[null,250,8.5233387318434239,null,null,null,null,null,null,null,null,null,null,null,null,250,7.8320615013389769]
[null,251,14.00183138745073,null,null,null,null,null,null,null,null,null,null,null,null,251,11.073231658260175]
[null,252,8.4723167183470824,null,null,null,null,null,null,null,null,null,null,null,null,252,7.5282353874194587]
[null,253,12.045100638198658,null,null,null,null,null,null,null,null,null,null,null,null,253,8.9035939663923305]
[null,254,14.965442777333218,null,null,null,null,null,null,null,null,null,null,null,null,254,9.7664910350842042]
[null,255,11.344855091728743,null,null,null,null,null,null,null,null,null,null,null,null,255,10.115358584053311]
[null,256,6.7646326205173093,null,null,null,null,null,null,null,null,null,null,null,null,256,9.2051832950711479]
[null,257,{"$f":"($C$8)*RAND()+($B$8-$C$8/2)","v":10.779275061403908},null,null,null,null,null,null,null,null,null,null,null,null,257,10.731334295793173]
[null,258,8.4461956706560262,null,null,null,null,null,null,null,null,null,null,null,null,258,{"$f":"((($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2))+(($Q$8)*RAND()+($P$8-$Q$8/2)))/5","v":8.6574654409497231}]
[null,259,11.903502242832914,null,null,null,null,null,null,null,null,null,null,null,null,259,11.571765355787756]
[null,260,6.2267736293010589,null,null,null,null,null,null,null,null,null,null,null,null,260,10.184393239957569]
[null,261,12.899736003478232,null,null,null,null,null,null,null,null,null,null,null,null,261,10.454439620660967]
[null,262,10.598811475385974,null,null,null,null,null,null,null,null,null,null,null,null,262,11.140305312645904]
[null,263,6.088142717776222,null,null,null,null,null,null,null,null,null,null,null,null,263,8.3200108415911735]

{"sheet":"Integrator","index":6,"n_rows":341,"n_cols":9,"rows_kept":341,"cut":false,"hidden":true,"merged":[]}
[{"$f":"Data!A1","v":"VVES"}]
[{"$f":"Data!A2","v":"Analysis - FreeStyle Spreadsheet"}]
[{"$f":"Data!A3","v":"MJ Van Voorhis  2/11/2016, 8/25/16"}]
[]
[null,"INTEGRATOR"]
[]
[null,null,"step=",0.01]
[]
[null,null,"x","f(x)",null,"low/up","min/max","f'(x)"]
[null,null,0,{"$f":"xvector^2","v":0},null,0,{"$f":"MIN($C$10:C341)","v":0},{"$f":"1/3*F10^3","v":0}]
[null,null,{"$f":"C10+$D$7","v":0.01},1E-4,null,3.3,{"$f":"MAX($C$10:C342)","v":3.3099999999999734},{"$f":"1/3*F11^3","v":11.978999999999999}]
[null,null,0.02,4.0000000000000002E-4,null,"int=",{"$f":"integrate($C$10:$C$341,$D$10:$D$341,F10,F11)","v":12.087954999999999},{"$f":"H11-H10","v":11.978999999999999},{"$f":"G12/H12-1","v":9.0955004591368738E-3}]
[null,null,0.03,8.9999999999999998E-4]
[null,null,0.04,1.6000000000000001E-3]
[null,null,0.05,2.5000000000000005E-3]
[null,null,6.0000000000000005E-2,3.6000000000000008E-3]
[null,null,7.0000000000000007E-2,4.9000000000000007E-3]
[null,null,0.08,6.4000000000000003E-3]
[null,null,0.09,8.0999999999999996E-3]
[null,null,9.9999999999999992E-2,9.9999999999999985E-3]
[null,null,0.10999999999999999,1.2099999999999998E-2]
[null,null,0.11999999999999998,1.4399999999999996E-2]
[null,null,0.12999999999999998,1.6899999999999995E-2]
[null,null,0.13999999999999999,1.9599999999999996E-2]
[null,null,0.15,2.2499999999999999E-2]
[null,null,0.16,2.5600000000000001E-2]
[null,null,0.17,2.8900000000000006E-2]
[null,null,0.18000000000000002,3.2400000000000005E-2]
[null,null,0.19000000000000003,3.6100000000000014E-2]
[null,null,0.20000000000000004,4.0000000000000015E-2]
[null,null,0.21000000000000005,4.4100000000000021E-2]
[null,null,0.22000000000000006,4.8400000000000026E-2]
[null,null,0.23000000000000007,5.290000000000003E-2]
[null,null,0.24000000000000007,5.7600000000000033E-2]
[null,null,0.25000000000000006,6.2500000000000028E-2]
[null,null,0.26000000000000006,6.7600000000000035E-2]
[null,null,0.27000000000000007,7.2900000000000034E-2]
[null,null,0.28000000000000008,7.8400000000000039E-2]
[null,null,0.29000000000000009,8.410000000000005E-2]
[null,null,0.3000000000000001,9.0000000000000066E-2]
[null,null,0.31000000000000011,9.6100000000000074E-2]
[null,null,0.32000000000000012,0.10240000000000007]
[null,null,0.33000000000000013,0.10890000000000008]
[null,null,0.34000000000000014,0.11560000000000009]
[null,null,0.35000000000000014,0.12250000000000009]
[null,null,0.36000000000000015,0.1296000000000001]
[null,null,0.37000000000000016,0.13690000000000013]
[null,null,0.38000000000000017,0.14440000000000014]
[null,null,0.39000000000000018,0.15210000000000015]
[null,null,0.40000000000000019,0.16000000000000014]
[null,null,0.4100000000000002,0.16810000000000017]
[null,null,0.42000000000000021,0.17640000000000017]
[null,null,0.43000000000000022,0.18490000000000018]
[null,null,0.44000000000000022,0.19360000000000019]
[null,null,0.45000000000000023,0.20250000000000021]
[null,null,0.46000000000000024,0.21160000000000023]
[null,null,0.47000000000000025,0.22090000000000024]
[null,null,0.48000000000000026,0.23040000000000024]
[null,null,0.49000000000000027,0.24010000000000026]
[null,null,0.50000000000000022,0.25000000000000022]
[null,null,0.51000000000000023,0.26010000000000022]
[null,null,0.52000000000000024,0.27040000000000025]
[null,null,0.53000000000000025,0.28090000000000026]
[null,null,0.54000000000000026,0.2916000000000003]
[null,null,0.55000000000000027,0.30250000000000027]
[null,null,0.56000000000000028,0.31360000000000032]
[null,null,0.57000000000000028,0.3249000000000003]
[null,null,0.58000000000000029,0.33640000000000037]
[null,null,0.5900000000000003,0.34810000000000035]
[null,null,0.60000000000000031,0.36000000000000038]
[null,null,0.61000000000000032,0.37210000000000037]
[null,null,0.62000000000000033,0.38440000000000041]
[null,null,0.63000000000000034,0.39690000000000042]
[null,null,0.64000000000000035,0.40960000000000046]
[null,null,{"$f":"C74+$D$7","v":0.65000000000000036},0.42250000000000049]
[null,null,0.66000000000000036,0.43560000000000049]
[null,null,0.67000000000000037,0.44890000000000052]
[null,null,0.68000000000000038,0.46240000000000053]
[null,null,0.69000000000000039,0.47610000000000052]
[null,null,0.7000000000000004,0.49000000000000055]
[null,null,0.71000000000000041,0.50410000000000055]
[null,null,0.72000000000000042,0.51840000000000064]
[null,null,0.73000000000000043,0.5329000000000006]
[null,null,0.74000000000000044,0.54760000000000064]
[null,null,0.75000000000000044,0.56250000000000067]
[null,null,0.76000000000000045,0.57760000000000067]
[null,null,0.77000000000000046,0.59290000000000076]
[null,null,0.78000000000000047,0.60840000000000072]
[null,null,0.79000000000000048,0.62410000000000077]
[null,null,0.80000000000000049,0.64000000000000079]
[null,null,0.8100000000000005,0.65610000000000079]
[null,null,0.82000000000000051,0.67240000000000077]
[null,null,0.83000000000000052,0.68890000000000085]
[null,null,0.84000000000000052,0.70560000000000089]
[null,null,0.85000000000000053,0.72250000000000092]
[null,null,0.86000000000000054,0.73960000000000092]
[null,null,0.87000000000000055,0.75690000000000091]
[null,null,0.88000000000000056,0.77440000000000098]
[null,null,0.89000000000000057,0.79210000000000103]
[null,null,0.90000000000000058,0.81000000000000105]
[null,null,0.91000000000000059,0.82810000000000106]
[null,null,0.9200000000000006,0.84640000000000104]
[null,null,0.9300000000000006,0.86490000000000111]
[null,null,0.94000000000000061,0.88360000000000116]
[null,null,0.95000000000000062,0.90250000000000119]
[null,null,0.96000000000000063,0.9216000000000012]
[null,null,0.97000000000000064,0.94090000000000129]
[null,null,0.98000000000000065,0.96040000000000125]
[null,null,0.99000000000000066,0.9801000000000013]
[null,null,1.0000000000000007,1.0000000000000013]
[null,null,1.0100000000000007,1.0201000000000013]
[null,null,1.0200000000000007,1.0404000000000013]
[null,null,1.0300000000000007,1.0609000000000015]
[null,null,1.0400000000000007,1.0816000000000014]
[null,null,1.0500000000000007,1.1025000000000016]
[null,null,1.0600000000000007,1.1236000000000015]
[null,null,1.0700000000000007,1.1449000000000016]
[null,null,1.0800000000000007,1.1664000000000017]
[null,null,1.0900000000000007,1.1881000000000017]
[null,null,1.1000000000000008,1.2100000000000017]
[null,null,1.1100000000000008,1.2321000000000017]
[null,null,1.1200000000000008,1.2544000000000017]
[null,null,1.1300000000000008,1.2769000000000017]
[null,null,1.1400000000000008,1.2996000000000019]
[null,null,1.1500000000000008,1.3225000000000018]
[null,null,1.1600000000000008,1.3456000000000019]
[null,null,1.1700000000000008,1.368900000000002]
[null,null,1.1800000000000008,1.3924000000000019]
[null,null,1.1900000000000008,1.4161000000000019]
[null,null,1.2000000000000008,1.4400000000000019]
[null,null,1.2100000000000009,1.464100000000002]
[null,null,1.2200000000000009,1.4884000000000022]
[null,null,1.2300000000000009,1.5129000000000021]
[null,null,1.2400000000000009,1.5376000000000021]
[null,null,1.2500000000000009,1.5625000000000022]
[null,null,1.2600000000000009,1.5876000000000023]
[null,null,1.2700000000000009,1.6129000000000022]
[null,null,1.2800000000000009,1.6384000000000023]
[null,null,{"$f":"C138+$D$7","v":1.2900000000000009},1.6641000000000024]
[null,null,1.3000000000000009,1.6900000000000024]
[null,null,1.3100000000000009,1.7161000000000024]
[null,null,1.320000000000001,1.7424000000000026]
[null,null,1.330000000000001,1.7689000000000026]
[null,null,1.340000000000001,1.7956000000000025]
[null,null,1.350000000000001,1.8225000000000027]
[null,null,1.360000000000001,1.8496000000000026]
[null,null,1.370000000000001,1.8769000000000027]
[null,null,1.380000000000001,1.9044000000000028]
[null,null,1.390000000000001,1.9321000000000028]
[null,null,1.400000000000001,1.9600000000000029]
[null,null,1.410000000000001,1.9881000000000029]
[null,null,1.420000000000001,2.0164000000000031]
[null,null,1.430000000000001,2.0449000000000028]
[null,null,1.4400000000000011,2.073600000000003]
[null,null,1.4500000000000011,2.1025000000000031]
[null,null,1.4600000000000011,2.1316000000000033]
[null,null,1.4700000000000011,2.1609000000000034]
[null,null,1.4800000000000011,2.1904000000000035]
[null,null,1.4900000000000011,2.2201000000000031]
[null,null,1.5000000000000011,2.2500000000000036]
[null,null,1.5100000000000011,2.2801000000000036]
[null,null,1.5200000000000011,2.3104000000000036]
[null,null,1.5300000000000011,2.3409000000000035]
[null,null,1.5400000000000011,2.3716000000000035]
[null,null,1.5500000000000012,2.4025000000000034]
[null,null,1.5600000000000012,2.4336000000000038]
[null,null,1.5700000000000012,2.4649000000000036]
[null,null,1.5800000000000012,2.4964000000000039]
[null,null,1.5900000000000012,2.5281000000000038]
[null,null,1.6000000000000012,2.5600000000000041]
[null,null,1.6100000000000012,2.5921000000000038]
[null,null,1.6200000000000012,2.6244000000000041]
[null,null,1.6300000000000012,2.6569000000000038]
[null,null,1.6400000000000012,2.689600000000004]
[null,null,1.6500000000000012,2.7225000000000041]
[null,null,1.6600000000000013,2.7556000000000043]
[null,null,1.6700000000000013,2.7889000000000044]
[null,null,1.6800000000000013,2.8224000000000045]
[null,null,1.6900000000000013,2.8561000000000045]
[null,null,1.7000000000000013,2.8900000000000046]
[null,null,1.7100000000000013,2.9241000000000046]
[null,null,1.7200000000000013,2.9584000000000046]
[null,null,1.7300000000000013,2.9929000000000046]
[null,null,1.7400000000000013,3.0276000000000045]
[null,null,1.7500000000000013,3.0625000000000044]
[null,null,1.7600000000000013,3.0976000000000048]
[null,null,1.7700000000000014,3.1329000000000047]
[null,null,1.7800000000000014,3.168400000000005]
[null,null,1.7900000000000014,3.2041000000000048]
[null,null,1.8000000000000014,3.2400000000000051]
[null,null,1.8100000000000014,3.2761000000000049]
[null,null,1.8200000000000014,3.3124000000000051]
[null,null,1.8300000000000014,3.3489000000000053]
[null,null,1.8400000000000014,3.385600000000005]
[null,null,1.8500000000000014,3.4225000000000052]
[null,null,1.8600000000000014,3.4596000000000053]
[null,null,1.8700000000000014,3.4969000000000054]
[null,null,1.8800000000000014,3.5344000000000055]
[null,null,1.8900000000000015,3.5721000000000056]
[null,null,1.9000000000000015,3.6100000000000056]
[null,null,1.9100000000000015,3.6481000000000057]
[null,null,1.9200000000000015,3.6864000000000057]
[null,null,{"$f":"C202+$D$7","v":1.9300000000000015},3.7249000000000057]
[null,null,1.9400000000000015,3.7636000000000056]
[null,null,1.9500000000000015,3.802500000000006]
[null,null,1.9600000000000015,3.8416000000000059]
[null,null,1.9700000000000015,3.8809000000000062]
[null,null,1.9800000000000015,3.9204000000000061]
[null,null,1.9900000000000015,3.9601000000000059]
[null,null,2.0000000000000013,4.0000000000000053]
[null,null,2.0100000000000011,4.0401000000000042]
[null,null,2.0200000000000009,4.0804000000000036]
[null,null,2.0300000000000007,4.1209000000000024]
[null,null,2.0400000000000005,4.1616000000000017]
[null,null,2.0500000000000003,4.2025000000000015]
[null,null,2.06,4.2435999999999998]
[null,null,2.0699999999999998,4.2848999999999995]
[null,null,2.0799999999999996,4.3263999999999987]
[null,null,2.0899999999999994,4.3680999999999974]
[null,null,2.0999999999999992,4.4099999999999966]
[null,null,2.109999999999999,4.4520999999999953]
[null,null,2.1199999999999988,4.4943999999999944]
[null,null,2.1299999999999986,4.5368999999999939]
[null,null,2.1399999999999983,4.579599999999993]
[null,null,2.1499999999999981,4.6224999999999916]
[null,null,2.1599999999999979,4.6655999999999906]
[null,null,2.1699999999999977,4.7088999999999901]
[null,null,2.1799999999999975,4.7523999999999891]
[null,null,2.1899999999999973,4.7960999999999885]
[null,null,2.1999999999999971,4.8399999999999874]
[null,null,2.2099999999999969,4.8840999999999859]
[null,null,2.2199999999999966,4.9283999999999848]
[null,null,2.2299999999999964,4.9728999999999841]
[null,null,2.2399999999999962,5.017599999999983]
[null,null,2.249999999999996,5.0624999999999822]
[null,null,2.2599999999999958,5.107599999999981]
[null,null,2.2699999999999956,5.1528999999999803]
[null,null,2.2799999999999954,5.198399999999979]
[null,null,2.2899999999999952,5.2440999999999782]
[null,null,2.2999999999999949,5.2899999999999769]
[null,null,2.3099999999999947,5.3360999999999752]
[null,null,2.3199999999999945,5.3823999999999748]
[null,null,2.3299999999999943,5.4288999999999739]
[null,null,2.3399999999999941,5.4755999999999725]
[null,null,2.3499999999999939,5.5224999999999715]
[null,null,2.3599999999999937,5.5695999999999701]
[null,null,2.3699999999999934,5.6168999999999691]
[null,null,2.3799999999999932,5.6643999999999677]
[null,null,2.389999999999993,5.7120999999999666]
[null,null,2.3999999999999928,5.7599999999999651]
[null,null,2.4099999999999926,5.8080999999999641]
[null,null,2.4199999999999924,5.8563999999999634]
[null,null,2.4299999999999922,5.9048999999999623]
[null,null,2.439999999999992,5.9535999999999607]
[null,null,2.4499999999999917,6.0024999999999595]
[null,null,2.4599999999999915,6.0515999999999579]
[null,null,2.4699999999999913,6.1008999999999567]
[null,null,2.4799999999999911,6.1503999999999559]
[null,null,2.4899999999999909,6.2000999999999546]
[null,null,2.4999999999999907,6.2499999999999538]
[null,null,2.5099999999999905,6.3000999999999525]
[null,null,2.5199999999999902,6.3503999999999508]
[null,null,2.52999999999999,6.4008999999999494]
[null,null,2.5399999999999898,6.4515999999999485]
[null,null,2.5499999999999896,6.5024999999999471]
[null,null,2.5599999999999894,6.5535999999999461]
[null,null,{"$f":"C266+$D$7","v":2.5699999999999892},6.6048999999999447]
[null,null,2.579999999999989,6.6563999999999428]
[null,null,2.5899999999999888,6.7080999999999413]
[null,null,2.5999999999999885,6.7599999999999403]
[null,null,2.6099999999999883,6.8120999999999388]
[null,null,2.6199999999999881,6.8643999999999377]
[null,null,2.6299999999999879,6.9168999999999361]
[null,null,2.6399999999999877,6.969599999999935]
[null,null,2.6499999999999875,7.0224999999999334]
[null,null,2.6599999999999873,7.0755999999999322]
[null,null,2.6699999999999871,7.1288999999999305]
[null,null,2.6799999999999868,7.1823999999999293]
[null,null,2.6899999999999866,7.2360999999999285]
[null,null,2.6999999999999864,7.2899999999999263]
[null,null,2.7099999999999862,7.3440999999999255]
[null,null,2.719999999999986,7.3983999999999241]
[null,null,2.7299999999999858,7.4528999999999224]
[null,null,2.7399999999999856,7.507599999999921]
[null,null,2.7499999999999853,7.5624999999999192]
[null,null,2.7599999999999851,7.6175999999999178]
[null,null,2.7699999999999849,7.6728999999999168]
[null,null,2.7799999999999847,7.7283999999999153]
[null,null,2.7899999999999845,7.7840999999999134]
[null,null,2.7999999999999843,7.8399999999999119]
[null,null,2.8099999999999841,7.8960999999999109]
[null,null,2.8199999999999839,7.9523999999999093]
[null,null,2.8299999999999836,8.0088999999999082]
[null,null,2.8399999999999834,8.0655999999999057]
[null,null,2.8499999999999832,8.1224999999999046]
[null,null,2.859999999999983,8.1795999999999029]
[null,null,2.8699999999999828,8.2368999999999009]
[null,null,2.8799999999999826,8.2943999999999001]
[null,null,2.8899999999999824,8.3520999999998988]
[null,null,2.8999999999999821,8.4099999999998971]
[null,null,2.9099999999999819,8.4680999999998949]
[null,null,2.9199999999999817,8.5263999999998941]
[null,null,2.9299999999999815,8.584899999999891]
[null,null,2.9399999999999813,8.6435999999998891]
[null,null,2.9499999999999811,8.7024999999998887]
[null,null,2.9599999999999809,8.7615999999998859]
[null,null,2.9699999999999807,8.8208999999998845]
[null,null,2.9799999999999804,8.8803999999998826]
[null,null,2.9899999999999802,8.940099999999882]
[null,null,2.99999999999998,8.9999999999998792]
[null,null,3.0099999999999798,9.0600999999998777]
[null,null,3.0199999999999796,9.1203999999998775]
[null,null,3.0299999999999794,9.180899999999875]
[null,null,3.0399999999999792,9.2415999999998739]
[null,null,3.049999999999979,9.3024999999998723]
[null,null,3.0599999999999787,9.3635999999998702]
[null,null,3.0699999999999785,9.4248999999998677]
[null,null,3.0799999999999783,9.4863999999998665]
[null,null,3.0899999999999781,9.5480999999998648]
[null,null,3.0999999999999779,9.6099999999998627]
[null,null,3.1099999999999777,9.6720999999998618]
[null,null,3.1199999999999775,9.7343999999998587]
[null,null,3.1299999999999772,9.7968999999998569]
[null,null,3.139999999999977,9.8595999999998565]
[null,null,3.1499999999999768,9.9224999999998538]
[null,null,3.1599999999999766,9.9855999999998524]
[null,null,3.1699999999999764,10.048899999999851]
[null,null,3.1799999999999762,10.112399999999848]
[null,null,3.189999999999976,10.176099999999847]
[null,null,3.1999999999999758,10.239999999999846]
[null,null,{"$f":"C330+$D$7","v":3.2099999999999755},10.304099999999844]
[null,null,3.2199999999999753,10.368399999999841]
[null,null,3.2299999999999751,10.432899999999838]
[null,null,3.2399999999999749,10.497599999999837]
[null,null,3.2499999999999747,10.562499999999835]
[null,null,3.2599999999999745,10.627599999999834]
[null,null,3.2699999999999743,10.692899999999831]
[null,null,3.279999999999974,10.758399999999829]
[null,null,3.2899999999999738,10.824099999999827]
[null,null,3.2999999999999736,10.889999999999826]
[null,null,3.3099999999999734,10.956099999999823]

{"sheet":"digitize","index":7,"n_rows":28,"n_cols":13,"rows_kept":28,"cut":false,"hidden":true,"merged":[]}
["VAN VOORHIS ENGINEERING SERVICES"]
["Digitization of Data - Analysis Workbook"]
["MikeVV@AnalysisChamp.com ,  9/4/2012, 1/4/2013"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,"P","nu"]
[null,null,null,null,null,null,null,null,null,null,null,0,18.7]
[null,null,null,null,null,null,null,null,null,null,null,10,20.8]
[null,null,null,null,null,null,null,null,null,null,null,20,24.3]
[null,null,null,null,null,null,null,null,null,null,null,30,28.2]
[null,null,null,null,null,null,null,null,null,null,null,40,32.5]
[null,null,"Microsoft Manipulating Points on Charts (MPOC) addin download",null,null,null,null,null,null,null,null,50,36.700000000000003]

{"sheet":"graphics","index":8,"n_rows":24,"n_cols":47,"rows_kept":24,"cut":false,"hidden":false,"merged":[]}
[{"$f":"Intro!H1&\"  8/25/2016\"","v":"VVES  8/25/2016"}]
["Graphic Measurement - Analysis Workbook"]
[{"$f":"Intro!A2","v":"Owner@AnalysisChamp.com"}]
[]
[]
[]
[]
[null,"IMAGE 01 - Scale and Measurement",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1.03,"in",null," <= Known feature length (red line)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"TEXT(T15,\"0.00\")&\" \"&U15","v":"0.84 in"}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"scale:"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"T8/shapedatafunction(curshname(),W14)","v":1.389682716389835E-2}," =T8/shapedatafunction(curshname(),W14)"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"measurements:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Places x,y coordinates of all freeform shapes at curser location"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"cvval(shapedatafield(curshname(),W14,\"linelength\")*T11,U8,U14)","v":1.03},"in",null,"Straight Connector 62",null,null,null,null,null,null,null,"Known length (red)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"cvval(shapedatafield(curshname(),W15,\"linelength\")*T11,U8,U15)","v":0.84464828534700298},"in",null,"Straight Connector 4",null,null,null,null,null,null,null,"unknown length (yellow)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"cvval(shapedatafield(curshname(),W16,\"linelength\")*T11,U8,U16)","v":2.2620560709455901},"in",null,"Freeform 19",null,null,null,null,null,null,null,"unknown length (green)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Places freeform shape at x,y coordinates beginning with curser location"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"width",null,{"$f":"cvval(shapedatafield(curshname(),W18,R18)*$T$11,$U$8,U18)","v":2.0661320258777698},{"$f":"U20","v":"in"},null,"Rectangle 1"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"height",null,{"$f":"cvval(shapedatafield(curshname(),W19,R19)*$T$11,$U$8,U19)","v":1.30037424855223},{"$f":"U20","v":"in"},null,{"$f":"W18","v":"Rectangle 1"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"diagonal",null,{"$f":"(T18^2+T19^2)^(1/2)","v":2.4412854676697591},"in",null,{"$f":"W19","v":"Rectangle 1"}]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"shapedatafield(curshname(),W14,\"name\")","v":"Straight Connector 62"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"curshname()","v":"Data"}]

{"sheet":"Section","index":9,"n_rows":66,"n_cols":8,"rows_kept":66,"cut":false,"hidden":true,"merged":[]}
["SECTION CALCULATION WORKBOOK"]
[{"$f":"Data!A2","v":"Analysis - FreeStyle Spreadsheet"}]
[{"$f":"Data!A3","v":"MJ Van Voorhis  2/11/2016, 8/25/16"}]
[null,3.3,1.4]
[]
[null,"X-coord","Y-Coord"]
[null,1,9]
[null,{"$f":"B7+$B$4","v":4.3},6.5]
[null,{"$f":"B8+$B$4","v":7.6},5]
[null,10.899999999999999,4]
[null,14.2,4]
[null,17.5,5]
[null,20.8,6.5]
[null,24.1,9]
[null,23.4,{"$f":"C14+C4","v":10.4}]
[null,20,{"$f":"C13+C4","v":7.9}]
[null,{"$f":"B12","v":17.5},{"$f":"C12+C4","v":6.4}]
[null,{"$f":"B11","v":14.2},{"$f":"C11+C4","v":5.4}]
[null,{"$f":"B10","v":10.899999999999999},{"$f":"C10+C4","v":5.4}]
[null,7.6,{"$f":"C9+C4","v":6.4}]
[null,4.8,{"$f":"C8+C4","v":7.9}]
[null,1.7,{"$f":"C7+C4","v":10.4}]
[null,{"$f":"B22","v":1.7},{"$f":"C22","v":10.4}]
[null,{"$f":"B7","v":1},{"$f":"C7","v":9}]
[]
[null,"(in)",{"$f":"B26","v":"(in)"}]
[]
[null,null,null,null,"Area =",{"$f":"Section_Area(B7:C24)","v":-35.71},{"$f":"B26&\"^2\"","v":"(in)^2"},"=Section_Area(B7:C24)"]
[null,null,null,null,"xBar=",{"$f":"Section_XBar(B7:C24)","v":12.683506020722493},{"$f":"B26","v":"(in)"},"=Section_XBar(B7:C24)"]
[null,null,null,null,"yBar=",{"$f":"Section_YBar(B7:C24)","v":6.6046392233734741},{"$f":"C26","v":"(in)"},"=Section_YBar(B7:C24)"]
[null,null,null,null,"Ix=",{"$f":"Section_IX(B7:C24)","v":-1650.6516500000005},{"$f":"B26&\"^4\"","v":"(in)^4"},"=Section_IX(B7:C24)"]
[null,null,null,null,"Iy=",{"$f":"Section_IY(B7:C24)","v":-7416.5840666666754},{"$f":"C26&\"^4\"","v":"(in)^4"},"=Section_IY(B7:C24)"]
[null,null,null,null,"IxBar=",{"$f":"Section_IXBar(B7:C24)","v":-92.936481435326868},{"$f":"G31","v":"(in)^4"},"=Section_IXBar(B7:C24)"]
[null,null,null,null,"IyBar=",{"$f":"Section_IYBar(B7:C24)","v":-1671.8690517128744},{"$f":"G32","v":"(in)^4"},"=Section_IYBar(B7:C24)"]
[null,null,null,null,"JBar=",{"$f":"F33+F34","v":-1764.8055331482012},{"$f":"G34","v":"(in)^4"},"=F33+F34"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,"area=",{"$f":"-F28","v":35.71},"in^2"]
[null,null,"length =",110,"in"]
[null,null,"volume =",{"$f":"D57*D56","v":3928.1},"in^3"]
[null,null,"density =",{"$f":"0.283","v":0.28299999999999997},"lbm/in^3"]
[null,null,"weight =",{"$f":"D59*D58","v":1111.6523},"lbm "]
[]
[null,null,"http://analysischamp.com/eex/expevalcv.asp"]
[null,null,"http://analysischamp.com/StressBook/TABA1201.htm"]
[null,null,"=-((2000+500) * 6^3)/(0.125*3 * 30000000)"]
[null,null,"(lbf * ft^3)/(in * psi) "]
[null,null,"= 83 in^4"]

{"sheet":"vectors","index":10,"n_rows":23,"n_cols":9,"rows_kept":23,"cut":false,"hidden":true,"merged":[]}
[{"$f":"Data!A1","v":"VVES"}]
[{"$f":"Data!A2","v":"Analysis - FreeStyle Spreadsheet"}]
[{"$f":"Data!A3","v":"MJ Van Voorhis  2/11/2016, 8/25/16"},null,"red = user input, black = calculated value"]
[]
[null,"Vector Cross and Dot Product Calculations",null,null,null,null,"data from map generated using Sketchup terrane saved as 3d .dxf"]
[null,null,"x","y","z",null,"x'","y'","z'"]
[null,"vecA = ",1,0,0,null,-236.00720000000001,89.087500000000006,-130.87029999999999]
[null,"vecB = ",0,1,0,null,-234.67570000000001,242.46879999999999,-125.56529999999999]
[null,"vecC = ",0,0,1,null,-117.6027,88.06,-91.567499999999995]
[null,"vecD = ",0,0,0,null,-118.93340000000001,86.006500000000003,0]
[]
[null,"data:",null,null,null,null,"formula:"]
[null,"vecA - vecD =",{"$f":"C7-C10","v":1},{"$f":"D7-D10","v":0},{"$f":"E7-E10","v":0},null,"=C7-C10","=D7-D10","=E7-E10"]
[null,"vecB - vecD =",{"$f":"C8-C10","v":0},{"$f":"D8-D10","v":1},{"$f":"E8-E10","v":0},null,"=C8-C10","=D8-D10","=E8-E10"]
[null,"vecC - vecD =",{"$f":"C9-C10","v":0},{"$f":"D9-D10","v":0},{"$f":"E9-E10","v":1},null,"=C9-C10","=D9-D10","=E9-E10"]
[]
[null,"(vecB-vecD)x(vecC-vecD) =",{"$f":"D14*E15-E14*D15","v":1},{"$f":"E14*C15-C14*E15","v":0},{"$f":"C14*D15-D14*C15","v":0},null,"=D14*E15-E14*D15","=E14*C15-C14*E15","=C14*D15-D14*C15"]
[null,"http://en.wikipedia.org/wiki/Cross_product"]
[null,"(vecA-vecD) . (vecB-vecD)x(vecC-vecD) =",{"$f":"ABS(C13*C17+D13*D17+E13*E17)","v":1},null,null,null,"=ABS(C13*C17+D13*D17+E13*E17)"]
[null,"http://en.wikipedia.org/wiki/Dot_proct"]
[]
[null,"volume=",{"$f":"C19/6","v":0.16666666666666666},null,null,null,"=C19/6"]
[null,"Volume of a pyramid"]

{"sheet":"SlideRule","index":11,"n_rows":25,"n_cols":30,"rows_kept":25,"cut":false,"hidden":true,"merged":[]}
["SlideRule"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"http://www.antiquark.com/sliderule/sim/n909es/virtual-n909-es.html"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"FRONT SIDE"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"multiplication / division:","C & D scales"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"log / ln"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"sin / cos / tan"]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"BACK SIDE"]

{"sheet":"DXF","index":12,"n_rows":37,"n_cols":8,"rows_kept":37,"cut":false,"hidden":true,"merged":[]}
[]
[null,"file:","C:\\Users\\Owner\\Desktop\\FSGD-MVV160825.dxf"]
[null,"sheet:","DXF"]
[null,"scale:",1,null,null,null,null,"Sub VERTEXPOINTS() provides polyline coordinates"]
[null,"layer:",0]
[]
[]
[]
[null,".xls: ",{"$f":"CELL(\"filename\")","v":"C:\\Users\\Owner\\Desktop\\[FreeStyle.xlsm]Intro"}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,"Freeform 1"]
[null,null,120,-210,null,54.434959411621094,-146.36346435546875]
[null,null,135,-230,null,70.184959411621094,-168.86346435546875]
[null,null,160,-215,null,89.684959411621094,-153.86346435546875]
[null,null,180,-240,null,112.18495941162109,-181.61346435546875]
[null,null,190,-230,null,121.18495941162109,-171.11346435546875]
[null,null,220,-270,null,151.93487548828125,-209.36346435546875]
[null,null,240,-255,null,170.68487548828125,-193.61346435546875]
[null,null,270,-300,null,203.68487548828125,-243.86346435546875]
[null,null,null,null,null,"Freeform 8"]
[null,null,null,null,null,232.5714111328125,-139.99992370605469]
[null,null,560,{"$f":"-140","v":-140},null,332.5714111328125,-139.99992370605469]
[null,null,660,{"$f":"D33","v":-140},null,332.5714111328125,-249.99992370605469]
[null,null,{"$f":"C34","v":660},{"$f":"-250","v":-250},null,232.5714111328125,-249.99992370605469]
[null,null,{"$f":"C33","v":560},{"$f":"D35","v":-250}]
[null,null,{"$f":"C33","v":560},{"$f":"D33","v":-140}]