The tube of a flute has a sliding joint that can be used to change the length, t
ID: 2000971 • Letter: T
Question
The tube of a flute has a sliding joint that can be used to change the length, to tune the flute. Suppose that a flute has been tuned to perfect pitch while outdoors, where the temperature is 0 degree C and the speed of sound is 331 m/s. For this perfectly tuned flute, the frequency of middle C, which corresponds to the fundamental mode of the tube of the flute, is 261.7 Hz. Suppose that this flute is then taken indoors, where the temperature and pressure are different, and the speed of sound is 343 m/s. What will the frequency of the flute's middle C be now? To restore the flute to perfect pitch, how much must we increase the length of the tube of the flute? Express your answer as a percentage of the length.Explanation / Answer
f2= 261.7*343/331= 271.187 Hz
% change = (343-331)*100/331= 3.625 %
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