Question

In: Physics

A string of length 1.0m has a mass/length of 2.4 g/m and is under 460N of...

A string of length 1.0m has a mass/length of 2.4 g/m and is under 460N of

tension. It is vibrating in its third harmonic (n = 3).

1. What is the frequency of the standing wave?

The vibrating string produces a sound wave and sits near a half-open tube of length L. The

speed of sound is 343m/s.

2. For what minimum value of L does the sound wave produced by the vibrating

string resonate with the tube (i.e., coincide with one of the allowed frequencies for standing

waves in the tube)?

3. If the tube were replaced by another tube of length 0.80L, how fast and in

what direction (towards or away from the tube) must the vibrating string be moving in order

for the sound wave it produces to resonate with the new tube? Hint: Consider the Doppler

effect.

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