Find the angular speed of the hour hand of a clock.

An athlete completes one round of a circular track of radius $R$ in $40 \,s$. What will be his displacement at the end of $2 \,min \,20 \,s$?

$A$ 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

For a particle in uniform circular motion:

$A$ particle moves in the $x-y$ plane according to the rules $x = a \sin \omega t$ and $y = a \cos \omega t$. The particle follows:

$A$ point $P$ is moving in uniform circular motion with radius $3 \ m$. Let at some instant the acceleration of the point be $a = (6 \hat{i} - 4 \hat{j}) \ m/s^2$, the position vector be $r$, and the velocity vector be $v$. Choose the correct statement.