Concept explainers
(a)
To calculate: The speed of the wave on the string.
(a)
Answer to Problem 61A
The speed of the wave is
Explanation of Solution
Given:
Length of guitar string =
Lowest frequency =
Formula used:
Wavelength is given by the formula,
Where
Speed of the wave is given by the formula,
Where
Calculation:
Wavelength of the air column is calculated as:
The speed of the wave is calculated as:
Conclusion:
The speed of the wave is
(b)
To calculate: The next two higher resonating frequencies of the string.
(b)
Answer to Problem 61A
The second higher frequency is
The third higher frequency is
Explanation of Solution
Given:
Length of guitar string =
Lowest frequency =
Formula used:
The second wavelength is given by the formula,
Where
The third wavelength is given by the formula,
Where
Frequency is given by the formula,
Where
Calculation:
Second wavelength of the air column is calculated as:
Second higher frequency is calculated as:
Third wavelength of the air column is calculated as:
Third higher frequency is calculated as:
Conclusion:
The second higher frequency is
The third higher frequency is
Chapter 15 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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