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If the fundamental frequency of a guitar string is 220 Hz,

Conceptual Physics | 12th Edition | ISBN: 9780321909107 | Authors: Paul G. Hewitt ISBN: 9780321909107 29

Solution for problem 35E Chapter 21

Conceptual Physics | 12th Edition

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Conceptual Physics | 12th Edition | ISBN: 9780321909107 | Authors: Paul G. Hewitt

Conceptual Physics | 12th Edition

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Problem 35E

If the fundamental frequency of a guitar string is 220 Hz, what is the frequency of the second harmonic? Of the third harmonic?

Step-by-Step Solution:

Step 1 of 3

Frequency of  harmonics of a vibrating string can be found by using the mathematical expression,

 

Where, L - Length of the string

 n - Order of harmonics

  - Wavelength of the nth harmonics

Rearranging this equation we get,

 ---------------- (1)  

We know that, wavelength of the string and frequency of the string is related by the equation,

  -------------------- (2)

Where, v - speed of sound

 f - frequency of the string

Rearranging this equation we get, ? -------------------------- (3)

Step 2 of 3

Chapter 21, Problem 35E is Solved
Step 3 of 3

Textbook: Conceptual Physics
Edition: 12
Author: Paul G. Hewitt
ISBN: 9780321909107

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If the fundamental frequency of a guitar string is 220 Hz,