Sound Waves - phase difference from time delay

AI Thread Summary
To determine the phase difference from a time delay between two loudspeakers, first calculate the period of the sound wave using the frequency; for 392 Hz, the period is approximately 2.55 ms. The time delay of 1.56 ms can be expressed as a fraction of the period, which helps in calculating the phase difference. The phase difference (PD) can be found using the formula PD = (time delay / period) * 360 degrees. In this case, the time delay represents a fraction of the period, leading to a specific phase shift that can be calculated. Understanding the relationship between time delay, period, and wavelength is crucial for solving these types of problems.
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For some reason I have trouble with questions like this. How would I get the phase difference if I were given the time delay of two loudspeakers side by side?

I'll use this question as an example:

"The speakers are now placed side by side. If the wire to speaker 1 is passed through a box that delays the signal by 1.56 ms, what is the new phase difference? "

The frequency is 392 Hz
The PD would be zero since they're beside each other
the speed is 340 m/s
the wavelengths are 0.86 m
and the time delay is 1.56 ms or 1.56e-3 s

I was able to find the period, 2.55e-3 s

But after this I kinda blank out. Any tips?
 
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Think about what the time delay, 1.56 ms means in terms of the period, i.e. what fraction of the period, and how it relates to the wave length.

If one has a signal - A sin\omegat, and another signal of the same form but at a delayed time of td, one could write the delayed signal as A sin\omega(t - td).
 
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