the overall length of a piccolo is 32.0 cm. the resonating aircolumn vibrates as

Question

the overall length of a piccolo is 32.0 cm. the resonating aircolumn vibrates as in pipe that is open at both ends. a) find the frequency of the lowest note a piccolo can play,assuming the speed of sound in air is 340 m/s. b) opening holes in the side effectively shortens the lengthof the resonant column. if the highest note a piccolo can sound is4000 Hz, find the distance between adjacent antinodes for this modeof vibration.
a) find the frequency of the lowest note a piccolo can play,assuming the speed of sound in air is 340 m/s. b) opening holes in the side effectively shortens the lengthof the resonant column. if the highest note a piccolo can sound is4000 Hz, find the distance between adjacent antinodes for this modeof vibration.

Explanation / Answer

(a)   lowest f = v / 2L = 340 / 2 * 0.32 =    531 Hz . (b) wavelength = speed / f = 340/ 4000 =    0.085 meters .      distance between antinodes = (1/2) wavelength =   0.0425 m =   4.25cm

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