We've looked at several analogies between straight-line motion and rotational motion, including:
| Variable | Straight-line motion | Rotational motion | Connection | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Displacement | x | q |
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| Velocity | v | w |
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| Acceleration | a | a |
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| Produces motion | F | t | t = r F sinq | ||||||
| Inertia | m | I | I = c mr2 | ||||||
| Second Law | SF = ma | St = I a | |||||||
| Momentum | p = mv | L = Iw | L = r mv sinq | ||||||
| Impulse | Dp = F Dt | DL = t Dt | |||||||
| Kinetic Energy | K = ½ mv2 | K = ½ Iw2 | |||||||
| Work | W = F d cosq | W = t Dq cosq | |||||||
| Power | P = F v cosq | P = t w cosq |