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
11-4: Simple Pendulum
11-7 and 11-8: Waves
11-9: Energy Transported by Waves
11-11: Interference
11-12: Standing Waves; Resonance
11-13: Refraction
11-14: Diffraction

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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