Mathematical formulas

Basic Physics

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Subjects
Basic Physics
Rotation
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
$v = ω r$
Open formula Open in section
Related
Rotational kinetic energy
$K_{rot} = \frac{1}{2} I ω^{2}$
Open formula Open in section