Phase constant problem, two trumpets

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Homework Help Overview

The problem involves two trumpeters playing at the same frequency of 932Hz, positioned 3 meters apart, with a listener located 10 meters from one of them. The discussion focuses on calculating the phase difference of the sound waves when they reach the listener and determining a frequency that would result in minimum intensity at that location.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the phase difference using a formula involving distance and frequency, while expressing uncertainty about finding the power needed for the intensity calculation. Other participants suggest considering the phase difference required for minimum intensity and question whether it corresponds to 180 degrees or 90 degrees.

Discussion Status

The discussion is ongoing, with some participants exploring the relationship between phase difference and intensity. There is no explicit consensus on the correct phase difference for minimum intensity, and multiple interpretations are being considered.

Contextual Notes

Participants are working within the constraints of the problem, including the given frequency and distance, while also grappling with the implications of phase difference on sound intensity.

Daniiel
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Two trumpeters are standing 3m apart and blowing in the same not at 932Hz. A listener stands directly infront of one of the trumpeters. 10m from the wall. Take the velocity of sound to be 340m/s.

i) what is the phase difference between the two waves when they reach the listener?
ii)what frequency closest to 932Hz would produce a minimum intensity at the listener?

I think i have part i down
what i did was (making p = phase constant and w wave length, dl change in distance)

p=2dLpi/w
v=fw
so
p = (2pi dL f) / v
and i got 52.4

then for part ii I am not sure what to do, the equation for intensity involves power in my book
im not sure how to find power
thanks
 
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well, all you really need to do is think about phase difference. What would the phase difference be in order to produce minimum intensity? If you know that, then you can work backwards to find the required frequency, in a similar manner to how you used a given frequency to find phase difference at 932 Hz.
 
ohh
so would that be when the phase difference is like
180? pi?
thanks
 
or would it be like 90 degrees? pi/2
 

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