Question

Define centripetal acceleration . Derive an expression for centripetal acceleration of a particle moving with uniform speed "v" along the circular path of radius "r" .

Answer 1

Answer:

When a body starts moving in a uniform circular path, there exists a force on body towards center called as centripetal force and due to that force an acceleration produces along with direction to the force named as centripetal acceleration.

Explanation:

Consider a body having mass m, moving in a circular path of Radius r, with velocity v

Then centripetal acceleration for that body will be

a = mv^2 / r

It is vector quantity having unit meter per second (m/s)