Question

The A string of a violin is 31 cm long between fixed points with a fundamental frequency of 440 Hz and a mass per unit length of 5.8×10^−4 kg/m.

What are the wave speed in the string?

What are the tension in the string?

What is the length of the tube of a simple wind instrument (say, an organ pipe) closed at one end whose fundamental is also 440 Hz if the speed of sound is 343 m/s in air?

What is the frequency of the first overtone of each instrument?


The wavelength is twice the string length, or 0.62 m.
The frequency is 440 Hz.
The wave speed must be the product of the3 two, or 268.40 m/s.

Get the tension T from the formula

Wave speed = sqrt (T/5.84*10^-4 kg/m)

The tension will be in Newtons
Thank you, do you know how to get the other 2 answers?

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