The angle between velocity and acceleration of a particle describing uniform circular motion is (in $^{\circ}$)

For a particle in uniform circular motion,the acceleration $\vec{a}$ at any point $P (R, \theta)$ on the circular path of radius $R$ is (when $\theta$ is measured from the positive $x$-axis and $v$ is uniform speed):

Find the angular speed of the hour hand of a clock.

If the direction of motion of an object performing uniform circular motion is reversed,what will be the effect on the direction of the centripetal force?

An athlete runs along a circular track of diameter $80 \ m$. The distance travelled and the magnitude of displacement of the athlete when he covers $3/4$th of the circle is (in $m$):

If a body moving in a circular path maintains a constant speed of $10 \,ms^{-1}$, then which of the following correctly describes the relation between acceleration $(a)$ and radius $(r)$?