# What is Dimensional Formula of Centripetal acceleration ?

Posted in Dimensional Formulae | Email This Post |**Centripetal acceleration** is the acceleration directed towards the centre of curvature of the path of a body which is moving along that path with a constant speed.

Mathematically,

Centripetal acceleration = (Velocity)^{2} / radius.

Dimensional Formula of Velocity = M^{0}L^{1}T^{-1}

Dimensional Formula of Radius = M^{0}L^{1}T^{0}

Putting these values in above equation we get,

**Dimensional Formula of Centripetal acceleration = M ^{0}L^{1}T^{-2}**

SI unit of Centripetal acceleration is ms^{-2}