Two sinusoidal waves on a string are defined by the wave functions                y1 = 2.00 sin (20.0x - 32.0t)             y2 = 2.00 sin (25.0x - 40.0t)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? (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.)

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter14: Superposition And Standing Waves
Section: Chapter Questions
Problem 13P
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Two sinusoidal waves on a string are defined by the wave functions
                y1 = 2.00 sin (20.0x - 32.0t)             y2 = 2.00 sin (25.0x - 40.0t)
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? (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.)

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