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Physics / University Physics 13 / Chapter 10 / Problem 20DQ

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

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You are standing at the center of a large horizontal

Chapter 4, Problem 20DQ

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QUESTION:

You are standing at the center of a large horizontal turntable in a carnival funhouse. The turntable is set rotating on frictionless bearings, and it rotates freely (that is, there is no motor driving the turntable). As you walk toward the edge of the turntable, what happens to the combined angular momentum of you and the turntable? What happens to the rotation speed of the turntable? Explain.

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QUESTION:

You are standing at the center of a large horizontal turntable in a carnival funhouse. The turntable is set rotating on frictionless bearings, and it rotates freely (that is, there is no motor driving the turntable). As you walk toward the edge of the turntable, what happens to the combined angular momentum of you and the turntable? What happens to the rotation speed of the turntable? Explain.

ANSWER:

Solution 20DQ This question is based on the concept of conservation of angular momentum. Angular momentum of a system is conserved when no external torque acts on it. Since no motor is driving the turntable, hence there is no torque due to the motor and the total angular momentum will be conserved. The angular momentum can be expressed as L =

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