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 | 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 | |||||||
Work | W = F • d | W = τ • Δθ | |||||||
Kinetic Energy | K = ½ mv2 | K = ½ Iω2 | |||||||
Power | P = F • v | P = τ • ω |