- #1
crazy_craig
- 9
- 0
Homework Statement
What phase difference between two otherwise identical traveling waves, moving in the same direction along a stretched string, will result in the combined wave having an amplitude 1.3 times that of the common amplitude of the two combining waves? Express your answer in (a) degrees, (b) radians, and (c) as a fraction of the wavelength.
Homework Equations
Same frequency and amplitudes results in:
y(x,t)=2ymcos(1/2Φ)sin(kx +/- wt +.5Φ)
The Attempt at a Solution
Amplitude of resultant wave = 2ymcos(1/2Φ)
2ymcos(1/2Φ)=2.3ym
solving for Φ :
2arccos(1.3/2)=Φ which is 1.7rad
However, I'm not sure how to express this in terms of the wavelength.