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Basic Physics
Rotation
Rolling without slipping

8. Rotation

Rolling without slipping

Formula

v_{\text{CM}}=R\omega

Equivalent form

a_{\text{CM}}=R\alpha

Total kinetic energy

K=\frac12Mv_{\text{CM}}^2+\frac12I_{\text{CM}}\omega^2

Tags

energy
physics
physics formula
rotation

Detail

In rolling without slipping, the center-of-mass speed is Rω and the kinetic energy includes translation and rotation.

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Related formulas

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Linear-angular velocity relation
$v=\omega r$
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Rotational kinetic energy
$K_{\text{rot}}=\frac12I\omega^2$
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