AP Rotational Motion Dynamics

For a rotating rigid body, which of the following statements is NOT correct?

• All points along a rotating rigid body move with constant speed
• Points along a rotating body have velocities that continuously change directions
• Points along a rotating body move through the same angle in equal time intervals
• All of the answers are correct

A radian is all of the following EXCEPT

• A dimensionless quantity
• The ratio of arc length over radius
• The same as degrees
• The unit for rotational position

If the angular velocity of an object changes from 3 rad/s to 1 rad/s in 2 seconds, what is the object's angular acceleration?

• –1.5 rad/s^2
• –1 rad/s^2
• 1 rad/s^2
• 1.5 rad/s^2

If the translational velocity of an object is 3 m/s, and is located a distance of 2 m from the axis of rotation, what is the object's angular velocity?

• 0.67 rad/s
• 1.5 rad/s
• 5 rad/s
• 6 rad/s

An object completes 1.5 circular orbits in half a minute. What is its approximate angular velocity?

• 0.05 rad/s

• 0.16 rad/s

• 0.5 rad/s

• 3 rad/s

Tags

NGSS.HS-ESS1-4

Which of the following quantities will impact how a rigid body's rotational speed can change?

• The body's rotational inertia
• The net torque on the body
• The net force on the body
• Two of the answers are correct

You exert a force on a friend who is holding a
4.0-m-long rope. Now suppose you exert the same force on your friend, but the friend is holding an
8.0-m-long rope. How will this affect the rotational acceleration?

• It will be quartered
• It will be halfed
• It will double
• It will quadruple