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 ......... $rad/s$.

$A$ 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 $60^{\circ}$?

$A$ fan is making $600$ revolutions per minute. If after some time it makes $1200$ revolutions per minute,then the increase in its angular velocity is

$A$ particle executing uniform circular motion has:

$A$ 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

$A$ particle is moving in uniform circular motion. About which point in the plane of the circle will the angular momentum of the particle always remain conserved?