Question

A 100 cm wire of mass 6.40 g is tied at both ends and adjusted to...

A 100 cm wire of mass 6.40 g is tied at both ends and adjusted to a tension of 45.0 N

A. When it is vibrating in its second overtone, find the frequency at which it is vibrating.

B. When it is vibrating in its second overtone, find the wavelength at which it is vibrating.

C. When it is vibrating in its second overtone, find the frequency of the sound waves it is producing.

D. When it is vibrating in its second overtone, find the wavelength of the sound waves it is producing.

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Answer #1

A)

Frequency, f = (3/2L) sqrt(T/u)

f = (3/2) sqrt(45/0.0064) = 125.78 Hz

B)

Wavelength, lambda = 2L/3 = 2 x 1/3 = 0.67 m

C)

Frequency, f = 125.78 Hz

D)

Wavelength, lambda = v/f = 343/125.78 = 2.73 m

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