# Kinetic Energy of a Rolling Object

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