We've looked at several analogies between straight-line motion and rotational motion, including:
Variable | Straight-line motion | Rotational motion | Connection | ||||||
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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 |