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Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 7th Edition
11
Vibration and Waves
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11-1 to 11-3: Simple Harmonic Motion
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11-4: Simple Pendulum
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11-7 and 11-8: Waves
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11-9: Energy Transported by Waves
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11-11: Interference
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11-12: Standing Waves; Resonance
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11-13: Refraction
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11-14: Diffraction
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Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 49
Q

If a violin string vibrates at 440 Hz as its fundamental frequency, what are the frequencies of the first four harmonics?

A
440 Hz, 880 Hz, 1320 Hz, 1760 Hz440 \textrm{ Hz, } 880 \textrm{ Hz, } 1320 \textrm{ Hz, } 1760 \textrm{ Hz}
Giancoli 7th Edition, Chapter 11, Problem 49 solution video poster
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VIDEO TRANSCRIPT

This is Giancoli Answers with Mr. Dychko. The harmonics are integer multiples of the fundamental. So, the fundamental is the first harmonic and we're told that's 440 hertz. So, the second harmonic is 2 times 440 which is 880 hertz. The third harmonic is 1320 hertz. And the 4th harmonic is 1760 hertz, 4 times the fundamental.

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Giancoli Answers, including solutions and videos, is copyright © 2009-2024 Shaun Dychko, Vancouver, BC, Canada. Giancoli Answers is not affiliated with the textbook publisher. Book covers, titles, and author names appear for reference purposes only and are the property of their respective owners. Giancoli Answers is your best source for the 7th and 6th edition Giancoli physics solutions.