What Determines the Point of Minimum Loudness in Speaker Interference?

AI Thread Summary
The discussion centers on determining the distance from speaker S1 where Hillary experiences minimum loudness due to destructive interference. The speed of sound is given as 343 m/s, with a frequency of 587 Hz, leading to a calculated wavelength of 0.584 m. The speaker separation of 2.78 m is significant because it influences the conditions for destructive interference, which occurs when the path difference between the sound waves from the two speakers is a half-integer multiple of the wavelength. To achieve minimum loudness, the distances from Hillary to each speaker must differ by half the wavelength. Understanding these concepts is crucial for solving interference problems in acoustics.
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Homework Statement



Hillary stands directly in front of speaker S1 and walks straight away (down on the page) from S1 as shown in the diagram.

What is the first distance (measured from S1) at which she will hear minimum loudness? Speed of sound is 343 m/s and the frequency of the sound is 587 Hz. The speakers are 2.78 m apart

Can someone explain what the significance of the speaker separation is in problems also??

Homework Equations





The Attempt at a Solution



Solved for Wave length = 0.584m, I then figured minimum loudness would be where constructive interference fisrt meets n=+/-1. So what do i do...
 

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Noone?, again.. I figured outthe beat question.
 
Minimum loudness will correspond to destructive interference, not constructive interference.

Compare Hillary's distance to S1, with Hillary's distance to S2. What must be true about those distances in order to have destructive interference? (Your textbook or class lecture notes should have something to say about this.)
 

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