If the linear speed of a particle moving in a circular path is constant,then the angular speed is proportional to (where $r$ is the radius of the circle):

If a cycle wheel of radius $4 \, m$ completes one revolution in two seconds,then the acceleration of a point on the rim of the cycle wheel will be:

Centripetal acceleration of a cyclist completing $7$ rounds in a minute along a circular track of radius $5 \, m$ with a constant speed,is ......... $m/s^2$.

$A$ car moves on a circular road. It describes equal angles about the centre in equal intervals of time. Which of the following statements about the velocity of the car is true?

What is the linear velocity of a particle in uniform circular motion of radius $A$ and angular velocity $\omega$?

$A$ particle is moving along a circular path with a constant speed of $10\,m/s.$ What is the magnitude of the change in velocity of the particle,when it moves through an angle of $60^{\circ}$ around the centre of the circle? .......... $m/s$