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KengaRu [80]
3 years ago
13

A mandolin string's first harmonic is 392 Hz. How long is the string if the wave speed on it is 329 m/s?

Mathematics
1 answer:
Taya2010 [7]3 years ago
6 0
Velocity is given by:
velocity=wavelength×frequency
We note that the wavelength of a wave is twice the length of the string (2w) in the first harmonic.
velocity=329 m/s
wavelength=2w
frequency=392
substituting the values in our equation we get:
329=2w(392)
329=784w
solving for w we get
w=329/784
w= 0.41964~0.42 m
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