$A$ 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 $m$):

$A$ stone tied to the end of a string $1\,m$ long is whirled in a horizontal circle with a constant speed. If the stone makes $22$ revolutions in $44$ seconds,what is the magnitude and direction of the acceleration of the stone?

In uniform circular motion, which of the following statements is wrong?

The shaft of a motor rotates at a constant angular velocity of $3000 \ rpm$. The number of radians it has turned through in $1 \ s$ is (in $\pi$)

$A$ particle revolving in a circular path travels the first half of the circumference in $4 \ s$ and the next half in $2 \ s$. What is its average angular velocity?