Find the angle between the velocity vector and the acceleration vector for a particle in uniform circular motion. (in $^{\circ}$)

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 is revolving in an anticlockwise sense along the circumference of a circle of radius $r$ with linear velocity $v$. The angle between the linear velocity $v$ and the angular velocity $\omega$ is: (in $^{\circ}$)

$A$ body moving in a circular path with a constant speed has constant:

$A$ merry-go-round rotating at a constant angular speed completes $9$ rotations in $18$ seconds. What is its angular speed?

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