In: Physics
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.