Calculating Speaker Frequencies Using Speed of Sound at Best Buy | Homework Help

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SUMMARY

The discussion focuses on calculating the frequencies of sound produced by two speakers placed 4.0 meters apart, with a student standing 2.0 meters from one speaker and 2.3 meters from the other. Given the speed of sound at 350 m/s, the student experiences a quiet spot due to destructive interference. This indicates a specific path length difference that can be used to determine the wavelength and subsequently the frequency of the sound waves emitted by the speakers.

PREREQUISITES
  • Understanding of sound wave properties, including wavelength and frequency.
  • Knowledge of the speed of sound in air (350 m/s in this scenario).
  • Familiarity with the concept of destructive interference in wave physics.
  • Basic skills in applying the wave equation: frequency = speed of sound / wavelength.
NEXT STEPS
  • Calculate the wavelength using the path length difference for destructive interference.
  • Apply the wave equation to find the frequencies of the sound waves.
  • Explore the principles of sound interference and its practical applications.
  • Research the effects of distance and placement on sound wave behavior in acoustics.
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics and sound, as well as educators seeking practical examples of sound interference in real-world scenarios.

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Homework Statement



A student enters Best Buy prepared to buy a pair of speakers. Before he does so, he conducts an experiment with them. He places the speakers 4.0 m apart and connects a signal generator to both speakers that produces a single and consistent tone. (constant wavelength and frequency) He then walks to a point that is 2.0 m from one speaker and 2.3 m from the other. At that point he notices a quiet “spot”. If the speed of the sound in the room is known to be 350 m/s, calculate the possible frequencies being played by the speakers.

Homework Equations





The Attempt at a Solution



I don't even know where to begin. I don't even know how to go from speed to frequency. Thanks for any and all help
 
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The path length difference produces destructive interference at the point where he stands. What does that tell you about the wavelength (and frequency)?
 

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