Question 1 :
A solid sphere, solid cylinder, hollow sphere, hollow&#160;cylinder of same mass and same radii are rolling&#160;down freely on an inclined plane. The body with&#160;maximum acceleration is:<br/>

Question 3 :
The angular velocity (in rad/s) of a body rotating at N r.p.m. is

Question 4 :
A fly-wheel is rotating about its own axis at an&#160;angular velocity $11\ rad/s$. Its angular velocity in&#160;revolution per minute ($rpm$) is:<br/>

Question 5 :
A catapult with a basket of mass 50 kg launches a 200 kg rock by swinging around from a horizontal to a vertical position with an angular velocity of 2.0 rad/s. Assuming the rest of the catapult is massless and the catapult arm is 10 m long, what is the velocity of the rock as it leaves the catapult?<br>

Question 7 :
If the body is moving in a circle of radius $r$ with a constant speed $v$. Its angular velocity is :

Question 8 :
A particle of mass m is revolving in a horizontal&#160;circle of radius r with constant angular speed $\omega $.&#160;The areal velocity of the particle is:<br/>

Question 9 :
The angular velocity ($\omega$ of a particle is related to the linear velocity$v$ of the particle moving in a circular motion or radius R using the formula

Question 10 :
Consider the following two statements A and B&#160;and identify the correct choice:<br/>A) The rotational kinetic energy of a rolling body&#160;is always greater than its translational kinetic&#160;energy.<br/>B) The maximum value of radius of gyration of a&#160;rolling body cannot be greater than the radius of&#160;that body.<br/>

Question 12 :
In which of the following cases of rolling body, translatory&#160;and rotational kinetic energies are equal&#160;<br/>

Question 13 :
The angular rim of a wheel $400$ cm in diameter&#160;has a velocity of $1600 \ {cm s}^{&#8211;1}$. The angular velocity&#160;of the wheel is:<br/>

Question 14 :
The linear velocity of a particle at the N- pole of&#160;the earth due to its rotation is:<br/>

Question 15 :
A circular disc is rotating about its own axis at&#160;uniform rate completes $30$ rotations in one&#160;minute. The angular velocity of disc in rad $s^{-1}$ is:<br/>

Question 16 :
A motor cyclist takes a U-turn in $4$ seconds. His angular velocity will be _______ $rads^{-1}$.<br/>

Question 17 :
A car is travelling at a given instant 40 m/s on a circular road of radius 400 m. Its speed is increasing at the rate 3 m/s. Its&#160; acceleration is

Question 19 :
One oscillation completed by a vibrating body in one second is known as:

Question 20 :
The average angular velocity of the spinning&#160;motion of the Earth in&#160;$rads^{-1}$&#160;will be :<br/>