The shaft of a motor rotates at a constant angular velocity of $3000 \ rpm$. The number of radians it has turned through in $1 \ s$ is (in $\pi$)

An athlete runs along a circular track of diameter $80 \ m$. The distance travelled and the magnitude of displacement of the athlete when he covers $3/4$th of the circle is (in $m$):

$A$ body is whirled in a horizontal circle of radius $20 \,cm$. It has an angular velocity of $10 \,rad/s$. What is its linear velocity at any point on the circular path in $m/s$?

$A$ heavy stone is tied to the end of a string and whirled in a horizontal circular path of radius $20 \, cm$ with a constant angular speed. If the centripetal acceleration is $980 \, cm \, s^{-2}$,what is its angular speed?

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

An aeroplane is flying with a uniform speed of $100\, m/s$ along a circular path of radius $100\, m$. The angular speed of the aeroplane will be ......... $rad/s$.