A particle is moving in a circular path. The acceleration and momentum vectors at an instant of time are $\vec{a}=2 \hat{i}+3 \hat{j} m / s ^2$ and $\overrightarrow{ p }=6 \hat{ i } + 4 \hat{ j } kgm /$ $s$. Then the motion of the particle is

The radius of circle the period of revolution initial position and sense of revolution are indicated in the figure.

$y-$projection of the radius vector of rotating particle $\mathrm{P}$ is

If the body is moving in a circle of radius $ r$ with a constant speed $v$, its angular velocity is

A grinding wheel attained a velocity of $20\,rad/sec$ in $5\,sec$ starting from rest. Find the number of revolution made by the wheel

A car changes speed from $18\,km/h$ to $36\,km/h$ in $5\,s$. The diameter of its wheel is $0.8\,m$ . The angular acceleration of the wheel is ........ $rad/s^2$

If the string of a conical pendulum makes an angle $\theta$ with horizontal, then square of its time period is proportional to