Answer:
The expression represents the centripetal acceleration of the object is, a = v²/r
Explanation:
The centripetal force is experienced by the body when the body moves in a curved path.
Let the object of mass 'm' moves in a circular path of radius 'r' with the tangential velocity 'v'. Then the centripetal force acting on the body is given by the expression,
F = mv²/r
This centripetal force is directed along the radius of the circular path.
Comparing the centripetal force with the linear force equation,
F = ma
And comparing the terms, it is clear that
a = v²/r
Hence, the expression represents the centripetal acceleration of the object is, a = v²/r
