We've looked at several analogies between straight-line motion and rotational motion, including:
| Variable | Straight-line motion | Rotational motion | Connection | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Displacement | x | θ |
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| Velocity | v | ω |
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| Acceleration | a | α |
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| Produces motion | F | τ | τ = r × F | ||||||
| Inertia | m | I | I = ∫ r2 dm | ||||||
| Second Law | ΣF = ma | Στ = I α | |||||||
| Momentum | p = mv | L = Iω | L = r × p | ||||||
| Impulse | Δp = F Δt | ΔL = τ Δt | |||||||
| Work | W = F • d | W = τ • Δθ | |||||||
| Kinetic Energy | K = ½ mv2 | K = ½ Iω2 | |||||||
| Power | P = F • v | P = τ • ω |