# Centripetal Force Formula

Centripetal Force Formula

A force that acts on a body moving in a circular path and directed towards the centre around which the body is moving is called Centripetal force.

When an object travels around a circular path with a constant speed, it experiences an accelerating centripetal force towards the centre.

The equation for centripetal force is as shown below

$F_{c}=mv^{2}/r$

Where

Fc is the centripetal force

m is mass

v is velocity

r is the radius of the path

Example 1

A van of 1,250 Kg is travelling at 50.0 m/s covers a curve of radius 200 m. calculate the centripetal force.

Solution

The given parameters are

mass = 1,250 Kg

radius = 200 m

Velocity = 50.0 m/s

Substitute the values in the given formula

Centripetal Force

$F_{c}=mv^{2}/r$

$F_{c}=(1250)(50^{2})/200$
Fc =  15,625 N