|Table of Contents |Appendix Listing|

MASS AND MASS MOMENTS OF INERTIA OF GEOMETRIC SHAPES

Nomenclature:
rho = density, weight/unit volume
m = mass
I = mass moment of inertia
g = acceleration of gravity

Rod relationships:
------------------
m = 3.14159 * d^2 * l * rho / (4 * g) 
Iy = m * l^2 / 12
Iz = m * l^2 / 12
Ix = m * d^2 / 8

Round disk relationships:
-------------------------
m = 3.14159 * d^2 * t * rho / (4 * g) 
Iy = m * d^2 / 16
Iz = m * d^2 / 16
Ix = m * d^2 / 8

Rectangular prism relationships:
--------------------------------
m = a * b * c * rho / g 
Iy = m / 12 * (a^2 + c^2)
Iz = m / 12 * (b^2 + c^2)
Ix = m / 12 * (a^2 + b^2)

Cylinder relationships:
-----------------------
m = 3.14159 * d^2 * l * rho / (4 * g) 
Iy = m / 48 * (3 * d^2 + 4 * l^2)
Iz = m / 48 * (3 * d^2 + 4 * l^2)
Ix = m * d^2 / 8

Hollow Cylinder relationships:
------------------------------
m = 3.14159 * l * rho / (4 * g) * (d0^2 - di^2)
Iy = m / 48 * (3 * d0^2 + 3 * di^2 + 4 * l^2)
Iz = m / 48 * (3 * d0^2 + 3 * di^2 + 4 * l^2)
Ix = m / 8 * (d0^2 + di^2)