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Physics / Physics with MasteringPhysics 4 / Chapter 11 / Problem 73P

Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker

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A turntable with a moment of inertia of 5.4 × 10 ?3 kgm2

Chapter 11, Problem 73P

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QUESTION:

Problem 73P

A turntable with a moment of inertia of 5.4 × 10 −3 kg $\cdot{}$ m2 rotates freely with an angular speed 33 $\frac{1}{3}$ of rpm. Riding on the rim of the turntable, 15 cm from the center, is a cute, 32-g mouse. (a) if the mouse walks to the center of the turntable, will the turntable rotate faster, slower, or at the same rate? Explain. (b) Calculate the angular speed of the turntable when the mouse reaches the center.

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QUESTION:

Problem 73P

A turntable with a moment of inertia of 5.4 × 10 −3 kg $\cdot{}$ m2 rotates freely with an angular speed 33 $\frac{1}{3}$ of rpm. Riding on the rim of the turntable, 15 cm from the center, is a cute, 32-g mouse. (a) if the mouse walks to the center of the turntable, will the turntable rotate faster, slower, or at the same rate? Explain. (b) Calculate the angular speed of the turntable when the mouse reaches the center.

ANSWER:

Step 1 of 5

Part (a)

Consider a turntable rotating with an angular velocity and a mouse is at the edge. The moment of inertia of the initial condition is given. Now the mouse moves towards the center of the turntable.

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