Putting sound waves in phase problem

AI Thread Summary
When two microphones are equidistant from a speaker, their signals are in phase. Given a phase difference of 0.001 ms and a sound speed of 330 m/s, the minimum distance between the microphones can be calculated. The period of the waveforms is 0.004 s, and to align them in phase, a period adjustment of 0.003 s is needed. The calculated distance is approximately 0.99 m, assuming collinearity with the speaker. The discussion emphasizes the importance of microphone placement for sound wave synchronization.
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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