A standing sine wave is the result of superposition of two sine waves given by the equations Y1 (x, t) = A sin(wt – ka) and y2(x,t) = A sin(wt + kx). The angular frequency is w = 100 rad/s and the k = 50 rad/m is the wave number. %3D Page 2 (a) Calculate the new amplitude A'(x), if the original amplitude of the waves A = 2.5 cm. (b) A calculate the position of a particle at x = this phase angle. (1/4)A and t = (1/2)T that corresponds to

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A standing sine wave is the result of superposition of two sine waves given by the equations
Y1 (x, t) = A sin(wt – kæ) and y2(x, t) = A sin(wt +kæ). The angular frequency is w = 100 rad/s
and the k = 50 rad/m is the wave number.
Page 2
(a) Calculate the new amplitude A'(x), if the original amplitude of the waves A = 2.5 cm.
(b) A calculate the position of a particle at x =
this phase angle.
(1/4)A and t = (1/2)T that corresponds to
Transcribed Image Text:A standing sine wave is the result of superposition of two sine waves given by the equations Y1 (x, t) = A sin(wt – kæ) and y2(x, t) = A sin(wt +kæ). The angular frequency is w = 100 rad/s and the k = 50 rad/m is the wave number. Page 2 (a) Calculate the new amplitude A'(x), if the original amplitude of the waves A = 2.5 cm. (b) A calculate the position of a particle at x = this phase angle. (1/4)A and t = (1/2)T that corresponds to
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