Rolling Kinetic Energy

K E = \frac{1}{2} m v^{2} + \frac{1}{2} I ω^{2}

Total kinetic energy of a rolling object is the sum of translational and rotational kinetic energies.

Variables

Total kinetic energy

Combined translational and rotational KE

Mass

Mass of rolling object

Velocity

Center of mass velocity

m/s

Moment of inertia

About center of mass

kg·m²

Angular velocity

Rate of rotation

rad/s

KE_total = KE_trans + KE_rot = ½mv² + ½Iω². For rolling without slipping, v = ωR.

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