(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

What is the equation for the superposition of 2 waves?

2. Relevant equations

3. The attempt at a solution

Displacement of the first wave is D_{1}= Asin(k_{1}x - ω_{1}t)

Displacement of second wave is D_{2}= Asin(k_{2}x - ω_{2}t)

Add together: D_{1}+ D_{2}= 2Acos[(k_{1}-k_{2})x/2 - (ω_{1}- ω_{2})t/2]*sin[(k_{1}+ k_{2})x/2 - (ω_{1}+ ω_{2})t/2]

But this isn't in terms of what the problem is asking! Help, can the form be changed somehow?

Is there a way to reduce the k1 and k2 so that it is in that form?

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# Homework Help: Wave superposition

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