Wave Interference with 2 speakers

1. Sep 12, 2011

exzacklyright

1. The problem statement, all variables and given/known data
Two speakers located 4.0 m apart. Listener is seated 25.0m from 1 speaker, and 27.0m from the other. We drive the two speakers at a freq. which we sweep from 100 to 500 Hz. If the 2 speakers are in phase, find the frequencies at which the waves constructively/destructively interfere.

Speed of sound = 343 m/s

2. Relevant equations

x2-x1 = n$\lambda$ (constructive)

x2-x1 = (n+0.5)$\lambda$ (destructive)

lamda = v/f

3. The attempt at a solution

Not sure to be honest where to start since there is a range of frequencies.

Last edited: Sep 12, 2011
2. Sep 12, 2011

Hootenanny

Staff Emeritus
Well the first thing to do is convert your two equations from functions of wavelength to frequency.

After you've done that, you just need to find all the frequencies between the two limits that satisfy those equations.

3. Sep 12, 2011

exzacklyright

yeah I figured it out. thx.