Question

A body of mass 10 kg, is moving with a velocity of 5 m/s in a circle of radius 5 m, what is the centripetal acceleration of the body?

Answer 1

Given : Body of mass 10 kg

            Velocity of the body = 5 m/s

            Circle of radius 5 m.

To Find : Centripetal acceleration of the body

Solution :

The formula for centripetal force is

    $\[\frac{{m{v^2}}}{r}\]$

Hence the centripetal acceleration is given by $\[\frac{{{v^2}}}{r}\]$

Here, v = 5, r= 5.

Hence, on solving we will get the

centripetal acceleration = $\[\frac{{{5^2}}}{5}m/{s^2}\]$  = 5m/s^2.

Hence, Centripetal acceleration of the body is 5m/s^2.