Question: The A string of a violin is 32 cm long between fixed points with fundamental frequency of 440 Hz and a mass per unit length

The A string of a violin is 32 cm long between fixed points with fundamental frequency of 440 Hz and a mass per unit length of 6.1 x 10-4 kg/m.
(a) What are the wave speed and tension in the string?
(b) 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?
(c) What is the frequency of the first overtone of each instrument?

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a The wave speed on the string can be found form the length and the fundamental frequency 1 2Lf 20... View full answer

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