Question 1 :
A fly-wheel is rotating about its own axis at an angular velocity $11\ rad/s$. Its angular velocity in revolution per minute ($rpm$) is:<br/>
Question 2 :
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 3 :
In which of the following cases of rolling body, translatory and rotational kinetic energies are equal <br/>
Question 4 :
The average angular velocity of the spinning motion of the Earth in $rads^{-1}$ will be :<br/>
Question 5 :
The angular velocity (in rad/s) of a body rotating at N r.p.m. is
Question 6 :
A body is whirled in a horizontal circle of radius $20$cm. It has angular velocity if $10$ rad/s. What is the linear velocity at any point on the circular path?
Question 7 :
One oscillation completed by a vibrating body in one second is known as:
Question 8 :
If the body is moving in a circle of radius $r$ with a constant speed $v$. Its angular velocity is :
Question 9 :
A flywheel rotates at a constant speed of $3000\ rpm$. The angle described by the shaft in radian in one second is:<br/>
Question 10 :
A circular disc is rotating about its own axis at uniform rate completes $30$ rotations in one minute. The angular velocity of disc in rad $s^{-1}$ is:<br/>
Question 11 :
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  acceleration is
Question 12 :
A particle is moving with uniform speed $0.5\ m/s$ along a circle of radius $1\ m$. Then the angular velocity of particle is:<br/>
Question 13 :
The angular velocity of a rickshaw wheel is $70\ rad s^{–1}$. If the radius of the wheel is $0.5$ m, the linear velocity is:<br/>
Question 15 :
A body executing uniform circular motion has find its position vector and acceleration vector:
Question 16 :
A solid sphere is rolling down on inclined on plane from rest and a rectangular block of same mass is also slipping down simultaneously from rest on a similar smooth inclined plane.
Question 17 :
A particle of mass m is revolving in a horizontal circle of radius r with constant angular speed $\omega $. The areal velocity of the particle is:<br/>
Question 18 :
A solid cylinder, a solid sphere and a hollow sphere each of mass m and radius r are released from the top of a smooth inclined plane. Then which of the bodies has minimum acceleration down the plane?
Question 19 :
A sparrow flies around a circular path at a constant speed. If the radius of the circular path is 15.0 m and the sparrow takes 10 seconds to complete one lap. how fast is the sparrow flying?
Question 20 :
The instantaneous velocity of a point on the outer edge of a disk with a diameter of 4 m that is rotating at 120 revolutions per minute is most nearly: