The second's hand of a watch has $6\, cm$ length. The speed of its tip and magnitude of difference in velocities of its at any two perpendicular positions will be respectively
$2\pi$ and $0\, mm/s$
$2\sqrt 2 \,\pi $ and $4.44\, mm/s$
$2\sqrt 2 \,\pi $ and $2\pi\, mm/s$
$2\pi$ and $2\sqrt 2 \pi\,mm/s $
A particle of mass ${m}$ is suspended from a ceiling through a string of length $L$. The particle moves in a horizontal circle of radius $r$ such that ${r}=\frac{{L}}{\sqrt{2}}$. The speed of particle will be:
A car is moving with speed $30$ $m/\sec $ on a circular path of radius $500\, m$. Its speed is increasing at the rate of $2m/{\sec ^2},$ What is the acceleration of the car ........ $m/sec^2$
The angular speed of a fly wheel making $120$ revolutions/minute is
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that
A solid disc rolls clockwise without slipping over a horizontal path with a constant speed $\upsilon $. Then the magnitude of the velocities of points $A, B$ and $C$ (see figure) with respect to a standing