$A$ 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:

If $\vec{L}$ and $\vec{P}$ represent the angular momentum and linear momentum respectively of a particle of mass $m$ having position vector $\vec{r} = a(\hat{i} \cos \omega t + \hat{j} \sin \omega t)$,the direction of the force acting on the particle is:

$A$ particle is revolving in an anticlockwise sense along the circumference of a circle of radius $r$ with linear velocity $v$. The angle between the linear velocity $v$ and the angular velocity $\omega$ is: (in $^{\circ}$)

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 $\pi$)

$A$ particle is acted upon by a force of constant magnitude such that its velocity and acceleration are always perpendicular to each other,then its

Consider the motion of the tip of the second hand of a clock. In one minute ($R$ being the length of the second hand),its ......