The overall length of a particular wind instrument is 29.0 cm. The resonating ai

Question

The overall length of a particular wind instrument is 29.0 cm. The resonating air column vibrates as ina pipe that is open at both ends. (a) Find the frequency of the lowest note thisinstrument can play, assuming that the speed of sound in air is 340m/s.
1 Hz
(b) Opening holes in the side effectively shortens the length ofthe resonant column. If the highest note this instrument can soundis 3500 Hz, find the distance betweenadjacent antinodes for this mode of vibration.
2 mm (a) Find the frequency of the lowest note thisinstrument can play, assuming that the speed of sound in air is 340m/s.
1 Hz
(b) Opening holes in the side effectively shortens the length ofthe resonant column. If the highest note this instrument can soundis 3500 Hz, find the distance betweenadjacent antinodes for this mode of vibration.
2 mm

Explanation / Answer

Fundamental wavelength = 2 . L = 54 cm a) Frequency of fundamental = Wavespeed / wavelength = 340 / 0.54=630 Hz b) Wavelength of 5000 Hz note = c/f = 340/5000 = 6.8 cm A distance of 3.4 cm, 34mm

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