A fan is making $600$ revolutions per minute. If after some time it makes $1200 $ revolutions per minute, then increase in its angular velocity is
$10\,\pi \,rad/\sec $
$20\,\pi \,rad/\sec $
$40\,\pi \,rad/\sec $
$60\,\pi \,rad/\sec $
A wheel is of diameter $1\ m.$ If it makes $30$ revolution per second, then the linear speed of a point on its circumference will be
When an object is shot from the bottom of a long smooth inclined plane kept at an angle $60^{\circ}$ with horizontal. it can travel a distance $\mathrm{x}_{1}$ along the plane. But when the inclination is decreased to $30^{\circ}$ and the same object the shot with the same velocity, it can travel $x_{2}$ distance. Then $x_{1}: x_{2}$ will be
A body is revolving with a uniform speed $v$ in a circle of radius $r$. The tangential acceleration is
The angular speed of seconds needle in a mechanical watch is
A man is running with constant speed along a circular path of radius $2 \sqrt 2\, m$. He completes $1$ round in $10\, second$. Find instantaneous speed at $2.5 \,sec.$