# Centripetal Force

Written by Jerry Ratzlaff on . Posted in Relativity

## Centripetal Force

Centripetal force ( $$F_c$$ ) is when an object keeps traveling along a axis of rotation and this force is acting always towards the center.

### Centripetal Force formula

$$F_c = \frac { m v^2 } { r }$$          $$centripetal \; force \;=\; \frac { mass \;\;x\;\; velocity^2 } { radius \; of \; circular \; path }$$

$$F_c = m a_c$$          $$centripetal \; force \;=\; mass \;\;x\;\; centripetal \; acceleration$$

Where:

$$F_c$$ = centripetal force

$$m$$ = mass

$$v$$ = velocity

$$r$$ = radius of circular path

$$a_c$$ = centripetal acceleration

Solve for:

$$v = \sqrt { \frac { F_c r } { m } }$$

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

Tags: Equations for Force