Four waves are traveling along the same string in the same direction. The expressions of those waves are y1(x,t) = (4cm) cos ((2π)x - (10π)t) y2(x,t) = (4cm) cos ((2π)x - (10π)t + π/2) y3(x,t) = (4cm) cos ((2π)x - (10π)t + π) y4(x,t) = (4cm) cos ((2π)x - (10π)t + 3π/2) What is the amplitude of the resultant wave?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter17: Traveling Waves
Section: Chapter Questions
Problem 12PQ: The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0...
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Four waves are traveling along the same string in the same direction. The expressions of
those waves are

y1(x,t) = (4cm) cos ((2π)x - (10π)t)

y2(x,t) = (4cm) cos ((2π)x - (10π)t + π/2)

y3(x,t) = (4cm) cos ((2π)x - (10π)t + π)

y4(x,t) = (4cm) cos ((2π)x - (10π)t + 3π/2)

What is the amplitude of the resultant wave?

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