List of top Physics Questions on Uniform Circular Motion asked in UPSEE

A solid body rotates an angle $\theta$ about a stationary axis according to the law $\theta = 6t - 2t^3 $ .What is the mean value of angular velocity over the time interval between $t = 0$ and the time when the body comes to rest ?

Figure shows the total acceleration $a = 32m/s^2$ of a moving particle moving clockwise in a circle of radius $R=1m$. What are the centripetal acceleration and speed $v$ of the particle at given instant?