$A$ motorcyclist going around a circular track at a constant speed has:

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.

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

Two racing cars of masses $m_1$ and $m_2$ are moving in circles of radii $r_1$ and $r_2$ respectively. Their speeds are such that each makes a complete circle in the same duration of time $T$. The ratio of the angular speed of the first to the second car is

$A$ particle moves so that its position vector is given by $\vec{r} = \cos(\omega t) \hat{i} + \sin(\omega t) \hat{j}$,where $\omega$ is a constant. Which of the following is true?

$A$ body moves along a circular path of radius $15 \ cm$. It starts from a point on the circular path and reaches the end of the diameter in $3 \ s$. The angular speed of the body in $rad/s$ is