AP®PhysicsCollege BoardPhysics 1: Algebra-BasedExam QuestionsUnit 6: Energy & Momentum of Rotating SystemsRotational Kinetic Energy, Torque & Work

Rotational Kinetic Energy, Torque & Work (College Board AP® Physics 1: Algebra-Based)

Exam Questions

5 mins5 questions
1
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Line graph showing torque (τ, in Newton-meters) decreasing linearly from 14 N·m at 0 degrees to 0 N·m at 35 degrees, with grid lines for precision.

The graph shows the net torque applied to a body as a function of angular position.

Which of the following is most nearly the change in kinetic energy of the body after it has rotated through an angle of 35°?

  • 4.3 J

  • 8.6 J

  • 245 J

  • 490 J

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2
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A Ferris wheel of radius 15 m and mass 4.0 × 105 kg is mounted on the fixed, frictionless axle of a motor. The wheel can be modeled as a hoop of rotational inertia M R squared. The angular speed of the wheel is increased from rest to a maximum value of 0.35 rad/s.

What is the average power output of the motor if it takes 25.0 seconds for the wheel to reach the maximum angular speed?

  • 2.2 cross times 10 to the power of 5 space straight W

  • 4.4 cross times 10 to the power of 5 space straight W

  • 6.3 cross times 10 to the power of 5 space straight W

  • 1.3 cross times 10 to the power of 6 space straight W

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3
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A soccer ball of rotational inertia I space equals space 2 over 3 m r squared rolls along a horizontal surface.

What percentage of the soccer ball's total kinetic energy is rotational kinetic energy?

  • 20%

  • 40%

  • 60%

  • 80%

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4
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A bowling ball of mass 5.0 kg and radius 12 cm rolls along a horizontal surface with a velocity of 8 m/s. The ball is a solid sphere with a rotational inertia of I space equals space 2 over 5 m r squared.

Which of the following is most nearly the total kinetic energy of the bowling ball?

  • 60 J

  • 120 J

  • 160 J

  • 220 J

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5
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When a force of 60 N is applied normally to the end of the wrench to tighten a bolt, it turns through an angle of 45°.

Which of the following is most nearly the work done on the bolt if the distance from the end of the wrench to the center of the bolt is 22 cm?

  • 5 space straight J

  • 9 space straight J

  • 10 space straight J

  • 20 space straight J

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