Book cover for Physics

Physics

Alan Giambattista, Betty McCarthy Richardson, Robert C. Richardson

ISBN #9780073404530

2nd Edition

2,795 Questions

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Summary

Learning Objectives

Key Concepts

Example Problems

Explanations

Common Mistakes

Summary

Circular motion involves both constant speed and continuously changing direction, which requires a centripetal force directed toward the center. Essential relationships between angular and linear quantities—such as v = r ? and a_r = ?²r—allow for the analysis of systems ranging from wheels and centrifuges to planetary orbits and artificial gravity. Understanding these principles is crucial for applying Newton’s second law to rotating systems and for solving problems in both uniform and nonuniform circular motion.

Learning Objectives

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Key Concepts

CONCEPT

DEFINITION

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Example Problems

Example 1

A carnival swing is fixed on the end of an 8.0 -m-long beam. If the swing and beam sweep through an angle of $120^{\circ},$ what is the distance through which the riders move?

Example 2

A soccer ball of diameter $31 \mathrm{cm}$ rolls without slipping at a linear speed of $2.8 \mathrm{m} / \mathrm{s} .$ Through how many revolutions has the soccer ball turned as it moves a linear distance of $18 \mathrm{m} ?$

Example 3

Find the average angular speed of the second hand of a clock.

Example 4

Convert these to radian measure: (a) $30.0^{\circ},$ (b) $135^{\circ}$ (c) $\frac{1}{4}$ revolution, (d) 33.3 revolutions.

Example 5

A bicycle is moving at $9.0 \mathrm{m} / \mathrm{s} .$ What is the angular speed of its tires if their radius is $35 \mathrm{cm} ?$

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Step-by-Step Explanations

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Common Mistakes

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