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Sound interference 
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#1
Aug1209, 07:26 PM

P: 11

1. The problem statement, all variables and given/known data
Two sound waves, from different sources with the same frequency, 540 Hz, travel in the same direction at 330m/s. The sources are in phase. What is the phase difference of the waves at a point that is 4.40 m from one source and 4.00 from the other. 2. Relevant equations We know that [tex]\Phi[/tex] = [tex]\Delta[/tex]L / wavelength * (2pi) We also know when the delta L / wavelentgh is a positive integer value, fully constructive interference occurs. If delta L/ wavelength is odd integer value then fully destructive interference occurs. and then you have your regular kinematics, and dynamics eqns. 3. The attempt at a solution f = 540 Hz, velocity = 330m/s f[tex]\lambda[/tex] = velocity and we solve for lamda = 540/330 = 1.64 m now we plug that into the phase eqn. [tex]\Phi[/tex] = [tex]\frac{0.40}{1.64}[/tex] that is equal to 0.2439024... now i dont know thats my answer, or should i multiply it by 2pi . or what? 


#2
Aug1209, 11:20 PM

P: 211

"We know that [tex]\Phi[/tex] = [tex]\Delta[/tex]L / wavelength * (2pi)"
"[tex]\Phi[/tex] = [tex]\frac{0.40}{1.64}[/tex]" You're missing the 2pi. 


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