Moment of Inertia of a Cylinder
Hollow Cylinder formula
| \(\large{ I_z = m \; r^2 }\) |
Where:
\(\large{ I }\) = moment of inertia
\(\large{ m }\) = mass
\(\large{ r }\) = radius
Solid Cylinder formulas
| \(\large{ I_z = \frac {1}{2}\; m \; r^2 }\) | |
| \(\large{ I_x = I_y = \frac {1}{12} \;m \; \left( 3\;r{^2} + l^2 \right) }\) |
Where:
\(\large{ I }\) = moment of inertia
\(\large{ l }\) = length
\(\large{ m }\) = mass
\(\large{ r }\) = radius
Hollow Core Cylinder formulas
| \(\large{ I_z = \frac {1}{12}\; m \; \left( r_1{^2} + r_2{^2} \right) }\) | |
| \(\large{ I_x = I_y = \frac {1}{12} \;m \; \left( 3 \; \left( r_2{^2} + r_1{^2} \right) + l^2 \right) }\) |
Where:
\(\large{ I }\) = moment of inertia
\(\large{ l }\) = length
\(\large{ m }\) = mass
\(\large{ r_1 }\) = radius
\(\large{ r_2 }\) = radius
Tags: Equations for Inertia