# Angular Velocity of a Rolling Sphere

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Angular velocity of a rolling sphere, abbreviated as $$\omega$$ (Greek symbol omega), without slipping is the velocity of a point on the circumference (relative to the center of the sphere), divided by the radius of the sphere.

## Angular Velocity of a Rolling Sphere formula

 $$\large{ \omega = \frac{ v }{ r } }$$

### Where:

 Units English Metric $$\large{ \omega }$$   (Greek symbol omega) = angular velocity $$\large{\frac{deg}{sec}}$$ $$\large{\frac{rad}{s}}$$ $$\large{ v }$$ = velocity $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$ $$\large{ r }$$ = radius of a sphere $$\large{ ft }$$ $$\large{ m }$$