Moment of Inertia and Rotational Kinetic Energy |
| Moment of inertia | ||||||||
| Rotational kinetic energy of a rigid body |
m | mass |
r | perpendicular distance from axis |
v | speed |
ω | angular speed |
| mivi2 = |
| miri2ω2 |
K = |
| m1r12ω2 + |
| m2 r22ω2 + ⋅⋅⋅ = |
|
| mi ri2ω2 |
K = |
| (m1r12 + m2 r22 + ⋅⋅⋅)ω2 = |
| ( |
| mi ri2 )ω2 |
I = m1r12 + m2 r22 + ⋅⋅⋅ = |
| mi ri2 |
(Eq1) |
|
(Eq2) |
|