$A$ wheel of radius $4 \, m$ completes one revolution in $2 \, s$. Find the centripetal acceleration of the wheel.

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 $m$):

Find the angle between the velocity vector and the acceleration vector for a particle in uniform circular motion. (in $^{\circ}$)

What is uniform circular motion? By using a proper figure,derive the equation for centripetal acceleration $a_c = \frac{v^2}{r}$ for uniform circular motion. Show that its direction is towards the center.

In which case is the use of angular velocity useful?

$A$ body performing uniform circular motion of radius $R$ has frequency $n$. Its centripetal acceleration is