# Rotational Kinetic Energy

Written by Jerry Ratzlaff on . Posted in Kinematics

Rotational kinetic energy, abbreviated as $$KE_r$$, is the energy an object has because it is rotating and does not matter if its moving from one place to another.

## Rotational Kinetic Energy formula

$$\large{ KE_r = \frac {1}{2}\; I \; \omega^2 }$$
Symbol English Metric
$$\large{ KE_r }$$ = rotational kinetic energy $$\large{ lbf-ft }$$ $$\large{ J }$$
$$\large{ \omega }$$  (Greek symbol omega) = angular velocity $$\large{\frac{deg}{sec}}$$ $$\large{\frac{rad}{s}}$$
$$\large{ I }$$ = moment of inertia $$\large{ in^4 }$$ $$\large{ mm^4 }$$