$A$ particle is moving on a circular path of radius $r$ with uniform speed $v$. What is the displacement of the particle after it has described an angle of $60^{\circ}$?

In uniform circular motion,which of the following statements is wrong?

$A$ particle is performing $U.C.M.$ along the circumference of a circle of diameter $50 \ cm$ with a frequency of $2 \ Hz$. The acceleration of the particle in $m/s^2$ is:

$A$ cyclist starts from the centre $O$ of a circular park of radius $1\, km$ and moves along the path $OPRQO$ as shown in the figure. If he maintains a constant speed of $10\, m/s$,what is his acceleration at point $R$ in magnitude and direction?

The ratio of the angular speed of the hour hand of a clock to the angular speed of the minute hand is .......

The magnitude of displacement of a particle moving in a circle of radius $a$ with constant angular speed $\omega$ varies with time $t$ as: