Torque and Angular Momentum Worksheet

Torque and Angular Momentum

Read each question carefully and provide detailed answers or calculations as required. Show all your work for problems involving calculations.

1. Which of the following is the correct unit for torque?

2. What happens to the angular velocity of a spinning ice skater when she pulls her arms in?

3. Torque is defined as the rotational equivalent of a  .

4. The conservation of     states that in the absence of external torques, the total angular momentum of a system remains constant.

5. A mechanic uses a 0.50 m long wrench to loosen a bolt. If he applies a force of 120 N at an angle of 90 degrees to the wrench, what is the torque applied to the bolt?

6. Explain the difference between torque and force. Provide an example where a large force results in a small torque, and another where a small force results in a large torque.

7. For an object to be in rotational equilibrium, the net torque acting on it must be zero.

8. Angular momentum is a scalar quantity.

9. A uniform rod of length 2.0 m and mass 3.0 kg is pivoted at one end. A force of 25 N is applied perpendicular to the rod at its free end. Calculate the angular acceleration of the rod. (Moment of inertia of a rod pivoted at one end: I = (1/3)ML²)

10. A merry-go-round has a moment of inertia of 150 kg·m² and is spinning at 0.5 rad/s. A child of mass 30 kg jumps onto the edge of the merry-go-round, 2.0 m from the center. What is the new angular velocity of the merry-go-round with the child on it? (Assume the merry-go-round is a uniform disk).