Only need phi number 2 to be corrected..... Two traveling waves are generated on
ID: 2102471 • Letter: O
Question
Only need phi number 2 to be corrected.....
Two traveling waves are generated on the same taut string. Individually, the two traveling waves can be described by the following two equations: y1(x,t) = (1.25 cm) sin(k1x + (0.348 rad/s)t + phi1) y2(x,t) = (4.28 cm) sin(k2x - (5.08 rad/s)t + phi2) If both of the above traveling waves exist on the string at the same time, what is the maximum positive displacement that a point on the string can ever have? What are the smallest positive values of the unknown phase constants (in radians) such that the above displacement occurs at the origin (x = 0) at time t = 3.33 s?Explanation / Answer
y = 1.25sin(0.348*3.33+phi1) + 4.28*sin(-5.08*3.33 + phi2)
-5.08*3.33 + phi2 = pi/2
phi2 = 18.48 rad = 5.8*pi = 2pi + 1.88*pi = 1.88*pi=5.903
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