Two sinusoidal waves of the same period

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Homework Help Overview

The discussion revolves around two sinusoidal waves that interfere along a string, with a focus on determining the phase difference and amplitude of the resultant wave. The problem is situated within the context of wave mechanics and interference patterns.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to derive the phase difference and amplitude from the given wave equation. There is a request for clarification on how to approach these specific calculations.

Discussion Status

Some participants have successfully calculated the wavelength and are now seeking assistance with the remaining parts of the problem. There is an emphasis on showing work for the calculations related to phase difference and amplitude.

Contextual Notes

One participant has indicated that they have already solved for the wavelength, which may influence the assumptions made in subsequent calculations. There is a request for help specifically on parts of the problem that remain unresolved.

kukulalalu89
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Two sinusoidal waves, identical except for phase, travel in the same direction along a string and interfere to produce a resultant wave given by

y(x,t)=(2.5 mm)sin(26.0x -4.0 s-1 * t+0.400 rad),

with x in meters and t in seconds.

1.) What is the wavelength of the two waves (m)? [I already solved this]

2.) What is the phase difference between them (radians, so enter no unit)?

3.) What is their amplitude (mm)?


Please HELP on #2 and #3!
 
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Show your work.
 
for number 1,

y =Asin(kx-wt)

k = 2∏/λ

k = 26

so λ = 2∏/26 = wavelength = 0.242 m.

But I'm having problems with 2 and 3.
 
Show work for #2 and #3.
 

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