A clock has $75 \mathrm{~cm}, 60 \mathrm{~cm}$ long second hand and minute hand respectively. In $30$ minutes duration the tip of second hand will travel $x$ distance more than the tip of minute hand. The value of $x$ in meter is nearly (Take $\pi=3.14$ ) :

A body is moving with constant speed, in a circle of radius $10 m$. The body completes one revolution in $4 s$. At the end of $3 rd$ second, the displacement of body (in $m$ ) from its starting point is:

The angular speed of earth around its own axis is ......... $rad / s$

A single wire $ACB$ passes through a smooth ring at $C$ which revolves at a constant speed in the horizontal circle of radius $r$ as shown in the figure. The speed of revolution is

A particle is moving on a circular path with constant speed $v$. It moves between two points $A$ and $B$. which subtends an angle $60^{\circ}$ at the centre of circle. The magnitude of change in its velocity and change in magnitude of its velocity during motion from $A$ to $B$ are respectively ..........

Two particles $A$ and $B$ are moving in uniform circular motion in concentric cirdes of radius $r_{A}$ and $r_{B}$ with speed $v_A$ and $v_B$ respectively. The time period of rotation is the same. The ratio of angular speed of $A$ to that of $B$ will be