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## Homework Statement

Two sound sources oscillate in phase at 500Hz with the same amplitude sm. At a point 5m from source 1 and 5.17m from source 2, what is the amplitude?

## Homework Equations

s(x,t)=sm*cos(kx-wt)

w=2πf

Speed of sound=340m/s

## The Attempt at a Solution

v=340m/s

w=2πf=1000π rad/s

k=w/v=50π/17

t1=5m/340m/s=1/68s

t2=5.17m/340m/s=0.0152s

s1(5,1/68)=sm*cos(50π/17*5-1000π*1/68)

s2(5.17, 0.0152)=sm*cos(50π/15*5.17-1000π*0.0152)

Adding the two together I get ~2sm, the correct answer is 1.41sm