# Kinetic Energy of a Rolling Object

Written by Jerry Ratzlaff on . Posted in Kinematics

Rolling kinetic energy, abbreviated as $$KE_{rolling}$$, is the sum of translational kinetic energy and rotational kinetic energy.

## Kinetic Energy of a Rolling Object formula

 $$\large{ KE_{rolling} = \frac {1}{2}\; m \; v_{cm}^2 + \frac {1}{2}\; I_{cm} \; \omega^2 }$$

### Where:

$$\large{ KE_{rolling} }$$ = rolling kinetic energy

$$\large{ \omega }$$  (Greek symbol omega) = angular velocity

$$\large{ m }$$ = mass

$$\large{ I _{cm}}$$ = moment of inertia center of mass

$$\large{ v_{cm} }$$ = velocity center of mass without slipping