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

For a particle in uniform circular motion:

In uniform circular motion:
$(i)$ The magnitude of velocity is constant.
$(ii)$ The velocity vector is constant.
$(iii)$ The direction of velocity is constant.
Select the correct statement.

$A$ particle is moving along a circular path with constant speed and centripetal acceleration '$a$'. If the speed is doubled,the ratio of its acceleration after and before the change is:

If the angular velocity of a merry-go-round is $60^o/s$ and you are $3.5\,m$ from the centre of rotation,your linear velocity will be

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