Question on destructive and constructive interference

[WWCY]

Homework Statement

Two speakers A and B are 3.50m apart and each one is emitting a frequency of 444Hz. However because of signal delays, speaker A is 1/4 of a period ahead of B. Find all points relative to the centerline between A and B where there is constructive interference. Include angles on both sides of centerline, speed of sound is 340m/s

Homework Equations

dsinθ = (m+?)λ

d = 3.5m
λ = v/f

The Attempt at a Solution

I know there is a need to compensate for the initial 1/4 phase difference as the usual equation assumes both sources are in phase. I just don't know how to do it.

 

[DrClaude]

What is the relation between position and phase?

 

[WWCY]

What is the relation between position and phase?

Is it that any position where 2 waves are half a wavelength out of phase cancel while 2 that are in phase constructively interfere?

 

[DrClaude]

I mean for a single wave.

 

[WWCY]

I mean for a single wave.

I apologize but I'm not quite sure of what you're getting at, could you elaborate?

 

[DrClaude]

You said you don't know how to compensate for the phase difference. I'm trying to get you to see the relation between the phase difference and position.

 

[WWCY]

You said you don't know how to compensate for the phase difference. I'm trying to get you to see the relation between the phase difference and position.

I still can't quite get what you mean by position, apologies.