Torque and Rotational Dynamics
What is the standard unit of angular displacement in rotational kinematics?
A wheel rotates through an angle of 6 radians in 3 seconds. What is its average angular velocity?
An object's angular velocity changes from 2 rad/s to 5 rad/s in 1.5 seconds. What is its average angular acceleration?
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?
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?
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?
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?
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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?
A solid cylinder rolls down an inclined plane without slipping. Which of the following is true about its kinetic energy?