Mathematical formulas

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Rolling without slipping · Mathematical formulas

Rolling without slipping

8. Rotation

Rolling without slipping

Formula

v_{CM} = R ω

Equivalent form

a_{CM} = R α

Total kinetic energy

K = \frac{1}{2} M v_{CM}^{2} + \frac{1}{2} I_{CM} ω^{2}

Related formulas

Related

Linear-angular velocity relation

v = ω r

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Related

Rotational kinetic energy

K_{rot} = \frac{1}{2} I ω^{2}

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