If a particle is moving on a circular path with constant speed,then the angle between the direction of acceleration and its position vector w.r.t. the centre of the circle will be ............

Consider an object making uniform motion around a circle of radius $5 \ m$ with tangential velocity $2 \ ms^{-1}$. The time it takes to complete $2$ revolutions and the magnitude of acceleration respectively are

If $\omega_1$ is the angular velocity of the hour hand of a clock and $\omega_2$ is the angular velocity of the Earth,then the ratio $\omega_1 : \omega_2$ is

Can a moving object have a constant speed but a changing velocity?

$A$ 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

$A$ 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.