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Find the frequency of the third overtone of an air column vibrating in a pipe closed at one end. The length of the pipe is 30cm and the innter diameter of the pipe is 2 cm the speed of sound in air at room temperature is 350 m/s . |
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Answer» SOLUTION :Data : L = 30cm = 0.3 mv = 350 m/s , d= 2 cm ` 2 XX 10^(-2)` m Pipe CLOSED at one END Fundamental frequency ` n= V/(4 (L+ 0.3d))` The frequency of the third overtone= 7n ` = (7v)/(4(L + 0.3d)) = ( 7 xx 350)/( 4 (0.3 + 0.3 xx 2 xx 10^(-2))` ` = ( 7 xx 175)/(2(0.3 + 0.006))= (7 xx 175)/( 2 xx 0.306)` 2002 Hz |
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