# Centripetal Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

## Centripetal Acceleration

Centripetal acceleration ( $$a_c$$ ) is acceleration towards the center that keeps an object in an elliptical orbit.

### Centripetal Acceleration Formula

$$a_c = \frac { v^2 } { r }$$          $$centripetal \; acceleration \;=\; \frac { velocity \; squared } { radius }$$

Where:

$$a_c$$ = centripetal acceleration

$$r$$ = radius

$$v$$ = velocity

Solve for:

$$v = \sqrt { a r }$$

$$r = \frac { v^2 } { a }$$