# Circular Velocity

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

## Circular Velocity

Circular velocity ( $$v_c$$ ) is the velocity at which an object must move in order to keep a specific radius.

### Circular Velocity formula

$$\large{ v_c = \frac { 2 \pi r } { t } }$$

Where:

$$\large{ v_c }$$ = circular velocity

$$\large{ \pi }$$ = Pi

$$\large{ r }$$ = radius

$$\large{ t }$$ = time

Solve for:

$$\large{ r = \frac { v_c t } { 2 \pi } }$$

$$\large{ t = \frac { 2 \pi r } { v_c } }$$