Putting sound waves in phase problem

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SUMMARY

The discussion focuses on calculating the minimum distance between two microphones to ensure sound waves are in phase, given a phase difference of 0.001 ms and a sound speed of 330 m/s. The user initially calculated the distance using the formula v = fd, resulting in 0.99 m based on a frequency of 333.3 Hz. However, the correct approach emphasizes that the minimum separation occurs when the microphones are collinear with the speaker, taking into account the time delay for sound to travel between them.

PREREQUISITES
  • Understanding of wave properties, specifically phase and frequency.
  • Knowledge of sound speed (330 m/s) in air.
  • Familiarity with the formula v = fd for wave calculations.
  • Basic principles of sound wave propagation and interference.
NEXT STEPS
  • Study the concept of phase difference in sound waves.
  • Learn about sound wave interference patterns and their applications.
  • Explore the effects of distance on sound wave propagation.
  • Investigate the use of microphones in audio engineering and sound recording.
USEFUL FOR

Students in physics or engineering, audio engineers, and anyone interested in sound wave behavior and microphone placement for optimal audio capture.

darryw
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Homework Statement


When the two microphones are at the same distance from the speaker, the two signals are in phase. For the phase difference shown (the two waves are separated by .001ms) , and given your value for the speed of sound(330m/s) , what is the minimum distance between the two microphones?




Homework Equations





The Attempt at a Solution


v = fd, where d is distance between speaker and mics

period of both waveforms is .004s, but they are separated by .001s.
Therefore period is .003 to put them back in phase

d = 330m/s / 333.3Hz = 0.99m

pretty sure this is wrong, but i need some help.. thanks
 
Physics news on Phys.org
The minimum separation of the two microphones occurs when they are collinear (in a straight line) with the speaker. It takes sound 0.001 ms to travel from one microphone to the other.

Hope that helps.
 

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