Two sinusoidal waves of the same period

AI Thread Summary
The discussion focuses on two sinusoidal waves with the same period that interfere to create a resultant wave. The wavelength has been calculated as 0.242 m using the wave number k. For the phase difference, it is determined from the equation, where the phase difference is 0.400 radians. The amplitude of the resultant wave is twice the amplitude of the individual waves, resulting in an amplitude of 2.5 mm. The calculations clarify the relationship between the waves and their interference pattern.
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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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