Torque and Rotational Dynamics
A wheel rotates through an angle of 6 radians in 3 seconds. What is its average angular velocity?
1 rad/s
2 rad/s
3 rad/s
6 rad/s
An object's angular velocity changes from 2 rad/s to 5 rad/s in 1.5 seconds. What is its average angular acceleration?
1 rad/s²
2 rad/s²
3 rad/s²
4 rad/s²
A spinning top has an initial angular velocity of 4 rad/s and experiences a constant angular acceleration of 2 rad/s². What is its angular velocity after it has rotated through an angle of 6 radians?
4 rad/s
6 rad/s
8 rad/s
10 rad/s
A point on the edge of a rotating disk with a radius of 0.2 m has a tangential velocity of 4 m/s. What is the angular velocity of the disk?
8 rad/s
10 rad/s
16 rad/s
20 rad/s
A solid cylinder rolls down an inclined plane without slipping. Which of the following is true about its kinetic energy?
The total kinetic energy is only translational.
The total kinetic energy is only rotational.
The total kinetic energy is the sum of translational and rotational kinetic energies.
The total kinetic energy is constant.
What is the standard unit of angular displacement in rotational kinematics?
Degrees
Revolutions
Radians
Meters
A rotating wheel starts with an initial angular velocity of 1 rad/s and has a constant angular acceleration of 3 rad/s². What is its angular displacement after 2 seconds?
4 radians
6 radians
8 radians
10 radians

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A motor initially rotates at a constant angular velocity. When a load is applied, it experiences a constant angular deceleration of 4.0 rad/s². After rotating through an angle of 24 radians, its angular velocity is halved. What was the motor's initial angular velocity?
4 rad/s
6 rad/s
8 rad/s
10 rad/s
The graph of angular velocity versus time for a rotating object is a straight line with a positive slope. What does this indicate about the object's angular acceleration?
The angular acceleration is constant and positive.
The angular acceleration is constant and negative.
The angular acceleration is increasing.
The angular acceleration is decreasing.