Question 2 :
A motor cyclist takes a U-turn in $4$ seconds. His angular velocity will be _______ $rads^{-1}$.<br/>
Question 3 :
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 4 :
A particle is moving with uniform speed along a circle of radius $20$ cm. If angular velocity of particle is $5\ rad s^{–1}$ then its speed is:<br/>
Question 5 :
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 6 :
Two particles having mass $M$ and $m$ are moving in circular paths having radii $R$ and $r$. If their time periods are same then the ratio of their angular velocities will be :<br/>
Question 8 :
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 9 :
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 10 :
Consider the following two statements A and B and identify the correct choice:<br/>A) The rotational kinetic energy of a rolling body is always greater than its translational kinetic energy.<br/>B) The maximum value of radius of gyration of a rolling body cannot be greater than the radius of that body.<br/>
Question 11 :
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:
Question 12 :
If the body is moving in a circle of radius $r$ with a constant speed $v$. Its angular velocity is :
Question 13 :
One oscillation completed by a vibrating body in one second is known as:
Question 14 :
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 15 :
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 16 :
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 17 :
Which of the following order is true for final linear velocity of the bodies
Question 19 :
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 20 :
A solid sphere, solid cylinder, hollow sphere, hollow cylinder of same mass and same radii are rolling down freely on an inclined plane. The body with maximum acceleration is:<br/>