18. Waves & Sound
Wave Interference
22PRACTICE PROBLEM
Consider two water waves generated by two sources that vibrate in phase, creating waves with the same amplitude and frequency. One of the waves has a phase shift relative to the other. They can be represented by:
W1 = D sin(kx - ωt)
W2 = D sin(kx - ωt + φ)
The resultant wave can be expressed as W = (2D cos(φ/2)) sin(kx - ωt + φ/2). Determine the amplitude of the resulting water wave. Is the wave purely sinusoidal?
Consider two water waves generated by two sources that vibrate in phase, creating waves with the same amplitude and frequency. One of the waves has a phase shift relative to the other. They can be represented by:
W1 = D sin(kx - ωt)
W2 = D sin(kx - ωt + φ)
The resultant wave can be expressed as W = (2D cos(φ/2)) sin(kx - ωt + φ/2). Determine the amplitude of the resulting water wave. Is the wave purely sinusoidal?