# Centripetal Force

Written by Jerry Ratzlaff on . Posted in Relativity

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

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

$$\large{ F_c = m a_c }$$

Where:

$$\large{ F_c }$$ = centripetal force

$$\large{ a_c }$$ = centripetal acceleration

$$\large{ m }$$ = mass

$$\large{ r }$$ = radius of circular path

$$\large{ v }$$ = velocity

Solve for:

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

Tags: Equations for Force