Question

Two sinusoidal waves in a string are defined by the wave functions y1 = 1.60 sin...

Two sinusoidal waves in a string are defined by the wave functions

y1 = 1.60 sin (15.0x − 33.0t)
y2 = 1.60 sin (28.0x − 42.0t)

where x, y1, and y2 are in centimeters and t is in seconds.

(a) What is the phase difference between these two waves at the point x = 5.00 cm at t = 2.00 s? (Your answer should be between 0° and 360°.)

Your response differs from the correct answer by more than 10%. Double check your calculations.°

(b) What is the positive x value closest to the origin for which the two phases differ by ±π at t = 2.00 s? (At that location, the two waves add to zero.)

The correct answer is not zero. cm

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