Concept explainers
(a)
The frequency of second piano.
(a)
Answer to Problem 47P
Explanation of Solution
Given:
Frequency of first piano strings
Tuner hears 3 beats at every
Formula used:
Where,
Calculation:
Vibration of two piano strings are
Frequency of beats hear by the tuner is 3 beats per 2 seconds that is
Now, determine the frequency of second piano string,
Also,
The frequency of the second beat is
Conclusion:
The frequency of the second piano string is
(b)
The percentage of tension that is increased or decreased to bring them in tune.
(b)
Answer to Problem 47P
Percentage of tension that is decreased by
Explanation of Solution
Given:
Frequency of first piano strings
Tuner hears 3 beats at every
Formula used:
Where,
Calculation:
Since the strings are of same length, the wavelength is same, so the ratio of tensions for second piano string is given as,
It is decreased by 4.5%.
Similarly,
It is increased by 4%.
Conclusion:
The percentage of the tension is increased by 4% or decreased by 4.5%.
Chapter 12 Solutions
Physics: Principles with Applications
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