In which case is the use of angular velocity useful?

What is the physical quantity represented by the unit $rpm$? Express it in $rad/s$.

$A$ cyclist starts from the centre $O$ of a circular park of radius $1\, km$ and moves along the path $OPRQO$ as shown in the figure. If he maintains a constant speed of $10\, m/s$,what is his acceleration at point $R$ in magnitude and direction?

The length of the second's hand in a watch is $1 \, cm$. The change in velocity of its tip in $15 \, seconds$ is

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?

When a particle moves in a uniform circular motion,it has: