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Problem 18.11: Using a speaker, a standing sound wave has been set up inside a tube

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Using a speaker, a standing sound wave has been set up inside a tube. A movable microphone lies inside the tube (position is given in meters and time is given in seconds). The graph shows the sound recorded by the microphone as a function of time. Move the microphone back and forth to study the changing amplitude of the sound it receives. Restart.

  1. For what microphone position(s) does the amplitude of the sound go to zero? What is such a location called?
  2. For what microphone position(s) is the amplitude of the sound a maximum? What is such a location called?
  3. From the locations of the nodes, determine the wavelength of the sound waves.
  4. From the graph, determine the frequency of the sound waves.
  5. Using the wavelength and the frequency, find the velocity of the sound waves in the tube.

Problem authored by Steve Mellema and Chuck Niederriter.
Script authored by Steve Mellema and Chuck Niederriter.

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