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AP®PhysicsCollege BoardPhysics 1: Algebra-BasedExam QuestionsUnit 5: Torque & Rotational DynamicsRotational Kinematics

Rotational Kinematics (College Board AP® Physics 1: Algebra-Based)

Exam Questions

5 mins5 questions
1
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Graph of angular velocity (ω) vs time (t) in seconds, showing four linear segments: increasing, constant, decreasing, and returning to zero.

The graph shows the angular velocity omega as a function of time t for an object that rotates about an axis. The time intervals labeled 1-4 divide the graph into four sections.

Which of the following correctly compares the angular displacement increment theta of the object during each time interval?

  • increment theta subscript 2 space greater than space increment theta subscript 1 space equals space increment theta subscript 3 space equals space increment theta subscript 4

  • increment theta subscript 2 space greater than space increment theta subscript 1 space equals space increment theta subscript 3 space greater than space increment theta subscript 4

  • increment theta subscript 4 space greater than space increment theta subscript 3 space greater than space increment theta subscript 2 space greater than space increment theta subscript 1

  • increment theta subscript 1 space greater than space increment theta subscript 2 space greater than space increment theta subscript 3 space greater than space increment theta subscript 4

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2
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Two points, A and B, are located on a disk that rotates about an axis. Point A is three times as far from the axis as point B. The linear speed of point B is v.

Which of the following expressions correctly represents the linear speed of point A?

  • 1 third v

  • v

  • 2 v

  • 3 v

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3
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A car with 50 cm diameter tires is traveling at 9.0 m/s. When the brakes are applied, the car comes to a stop after the tires complete 12.0 revolutions.

Which of the following is most nearly the magnitude of the angular acceleration of the tires when the brakes are applied?

  • 2.1 space rad divided by straight s squared

  • 4.3 space rad divided by straight s squared

  • 8.6 space rad divided by straight s squared

  • 17 space rad divided by straight s squared

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4
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The radius of the Earth is 6400 km.

Which of the following is most nearly the linear speed of a point on the Earth's surface?

  • 0.47 space straight m divided by straight s

  • 1.7 space straight m divided by straight s

  • 470 space straight m divided by straight s

  • 1700 space straight m divided by straight s

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5
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A disk of radius 60 space mm is made to spin by applying a constant force to its outer rim. It takes 3.0 space seconds for the disk to rotate from rest up to a rate of 500 revolutions per minute.

Which of the following is most nearly the linear acceleration at a point on the outer rim of the disk during the application of the force?

  • straight pi over 3 space straight m divided by straight s squared

  • straight pi space straight m divided by straight s squared

  • fraction numerator 10 straight pi over denominator 3 end fraction space straight m divided by straight s squared

  • fraction numerator 50 straight pi over denominator 9 end fraction space straight m divided by straight s squared

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