The overall length of a piccolo is 33.0 cm. The resonating air column is open at

Question

The overall length of a piccolo is 33.0 cm. The resonating air column is open at both ends. (a) Find the frequency of the lowest note a piccolo can sound. (Assume that the speed of sound in air is 343 m/s.) What is the relationship between the wavelength of the fundamental frequency and the length of a pipe that is open on both ends? Hz (b) Opening holes in the side of a piccolo effectively shortens the length of the resonant column. Assume the highest note a piccolo can sound is 3 500 Hz. Find the distance between adjacent antinodes for this mode of vibration.

Explanation / Answer

a)

f = u/(2L)

f = 343/(2*0.33)

f = 519.7 Hz

b)

Da = L, the effective length of the column

L = u/2f

L = 343/(2*3500)

L = 0.049 m

L = 49 mm

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