# Resultant Amplitude of 2 Waves

1. Apr 17, 2011

### jegues

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

Two sinusoidal waves have the same angular frequency, the same amplitude ym, and travel in the same direction in the same medium. If they differ in phase by 50 degrees, the amplitude of the resultant wave is?

2. Relevant equations

3. The attempt at a solution

How do I go about figuring this out? Do I need to use phasors?

$$\sqrt{(1+cos(50))^{2} + (sin(50))^{2}}$$

Isn't the superposition of 2 waves y1(x,t) and y2(x,t)

y'(x,t) = y1(x,t)+y2(x,t)

?

Thanks again!

2. Apr 18, 2011

### Redbelly98

Staff Emeritus

Yes, that method works well here.

Yes, that's right.