Wave Interference with 2 speakers

[exzacklyright]

Homework Statement

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

Homework Equations

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

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

lamda = v/f

The Attempt at a Solution

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

 

[Hootenanny]

Homework Statement

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

Homework Equations

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

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

lamda = v/f

The Attempt at a Solution

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

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.

 

[exzacklyright]

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.

yeah I figured it out. thx.