Two transverse waves travel along the same taut string and interfere. Waves 1 and 2 are described, respectively, by the function y1(x, t) = A sin(kx - ωt) and y2(x, t) = A cos(3kx + 3ωt). The phases (arguments of the sine and cosine functions) are in radians, as usual, and A = 8.8 cm, k = 6.5 rad/m, ω = 9.1 rad/s. a) For A = 8.8 cm, k = 6.5 rad/m, and ω = 9.1 rad/s, calculate the total displacement of the string, in centimeters, at the position x = 3.8 m at time t = 9.6 s.
Two transverse waves travel along the same taut string and interfere. Waves 1 and 2 are described, respectively, by the function y1(x, t) = A sin(kx - ωt) and y2(x, t) = A cos(3kx + 3ωt). The phases (arguments of the sine and cosine functions) are in radians, as usual, and A = 8.8 cm, k = 6.5 rad/m, ω = 9.1 rad/s. a) For A = 8.8 cm, k = 6.5 rad/m, and ω = 9.1 rad/s, calculate the total displacement of the string, in centimeters, at the position x = 3.8 m at time t = 9.6 s.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Two transverse waves travel along the same taut string and interfere. Waves 1 and 2 are described, respectively, by the function y1(x, t) = A sin(kx - ωt) and y2(x, t) = A cos(3kx + 3ωt). The phases (arguments of the sine and cosine functions) are in radians, as usual, and A = 8.8 cm, k = 6.5 rad/m, ω = 9.1 rad/s.
a) For A = 8.8 cm, k = 6.5 rad/m, and ω = 9.1 rad/s, calculate the total displacement of the string, in centimeters, at the position x = 3.8 m at time t = 9.6 s.
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