Question

an object of mass m is moving in a circular motionof radius r at a constant speed v,obtain an expression for the magnitude of acceleration of the object ​

Answer 1

Dear Student,

When particle moves in circular motion with constant velocity the force acting on it is given by,
$$\begin{gathered} F=\frac{m{V}^2}{r} \\ ma=\frac{m{V}^2}{r} \\ a=\frac{V^2}{r} \end{gathered}$$
direction of this acceleration is toward the centre of the circle.

Regards.