In which case is the use of angular velocity useful?

The angular velocity of the minute hand of a clock in degrees per second is

Write the relation between linear velocity and angular velocity.

Two particles having mass $M$ and $m$ are moving in a circular path with radius $R$ and $r$ respectively. The time period for both the particles is same. The ratio of angular velocity of the first particle to the second particle will be

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

The angular speed of a flywheel making $120$ revolutions per minute is: