# Homework Help: New wave after superposition (interference)

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1. May 17, 2018

### Helly123

1. The problem statement, all variables and given/known data
1. The problem statement, all variables and given/known data

The displacement y of standing wave that is obtained by a superposition of waves :
Y1 = 3 sin (2$\pi$(0.5t - 0 25 x))
Y2 = 3 sin (2$\pi$(0.5t + 0 25 x))

2. Relevant equations
Formula for standing waves
Y = 2Asinkx coswt

3. The attempt at a solution
Y1 going to right
Y2 going to left
Both have different direction.

How to decide it is constructive or destructive interference?
Are they longitudinal or transverse waves? Does it matter?

How to know in the new equation, which belong to sin x or t variable, which belong to cos?

2. May 17, 2018

### kuruman

3. May 17, 2018

### Helly123

4. May 17, 2018

### kuruman

You should be able to find these on your own. Look under Sum-to-product.

5. May 18, 2018

### Helly123

Oh. So superposition is y1 + y2 ?
Why superposition not happen to be y1 - y2?
How to know if both waves get destructive or constructive interference?