A violin string vibrates with a frequency of 440 Hz in the fundamental mode. With what...
A violin string vibrates with a frequency of 440 Hz in the
fundamental mode. With what frequency will the string vibrate if 5
loops are observed?
____________Hz
Homework Answers
As we nkow that
f = nf0
Here
f0 = Fundamental Frequency = 440 Hz
Therefore
f' = 5*440
= 2200 Hz
A violin is a both ends fixed, and so successive harmonics are
simply multiples of the fundamental:
Therefore, f1 = 440Hz (fundamental frequency)
f2 = 2f1 = 2 x 440 = 880 Hz
f3 = 3f1 = 3 x 440 = 1320 Hz
f4 = 4f1 = 4 x 440 = 1760 Hz
f5 = 5f1 = 5 x 440 = 2200 Hz
Fundamental frequency = V/2L =440 Hz
For 5 loops
Frequency = 5V/2L =2200 Hz (ANS)
Add Answer to:
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