A particle moves in a circle of radius $25\, cm$ at two revolutions per second. The acceleration of the particle in $meter/second^2$ is
${\pi ^2}$
$8\,{\pi ^2}$
$4\,{\pi ^2}$
$2\,{\pi ^2}$
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 wheel completes $2000$ revolutions to cover the $9.5\, km$. distance. then the diameter of the wheel is
If ${a_r}$ and ${a_t}$represent radial and tangential accelerations, the motion of a particle will be uniformly circular if
A bob is whirled in a horizontal plane by means of a string with an initial speed of $\omega \mathrm{rpm}$. The tension in the string is $T$. If speed becomes $2 \omega$ while keeping the same radius, the tension in the string becomes:
The angular speed of earth around its own axis is ......... $rad / s$