Two sinusoidal waves in a string are defined by the wave functions Y1 = 2.10 sin (15.0x - 34.0t) Y22.10 sin (30.0x - 41.0t) 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°.) 255 (b) What is the positive x value closest to the origin for which the two phases differ by ± at t = 2.00 s? (At that location, the two waves add to zero.) 0.0304 x cm

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Chapter1: Units, Trigonometry. And Vectors
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Two sinusoidal waves in a string are defined by the wave functions
Y1 = 2.10 sin (15.0x - 34.0t)
Y22.10 sin (30.0x - 41.0t)
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°.)
255
(b) What is the positive x value closest to the origin for which the two phases differ by ± at t = 2.00 s? (At that
location, the two waves add to zero.)
0.0304
x cm
Transcribed Image Text:Two sinusoidal waves in a string are defined by the wave functions Y1 = 2.10 sin (15.0x - 34.0t) Y22.10 sin (30.0x - 41.0t) 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°.) 255 (b) What is the positive x value closest to the origin for which the two phases differ by ± at t = 2.00 s? (At that location, the two waves add to zero.) 0.0304 x cm
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