Centripetal Force

Centripetal force is the force acting on a body moving in a circular path, in a direction towards the centre of the circular path.

OR

A force acts on any object moving along a circle and it is directed towards the centre of the circle. This is called the Centripetal force.

OR

The inward force required to keep an object moving in a circular path, directed towards the centre of the circle, expressed as F_C = \[\frac {mv^2}{r}\] = mrω², which always acts perpendicular to the direction of linear velocity, is called Centripetal Force.

\[F_C=\frac{mv^2}{r}=mr\omega^2=mv\omega\quad(v=r\omega)\]