A standing wave is formed by the superposition of two waves travelling in opposite directions. The transverse displacement is given by, y x , t = 0.5 sin ⁡ 5 π 4 x cos ⁡ 200 π t . What is the speed of the travelling wave moving in the positive x direction? ( x and t are in meter and second, respectively)

Question

A standing wave is formed by the superposition of two waves travelling in opposite directions. The transverse displacement is given by, y x , t = 0.5 sin ⁡ 5 π 4 x cos ⁡ 200 π t . What is the speed of the travelling wave moving in the positive x direction? ( x and t are in meter and second, respectively), 120 m s - 1, 90 m s - 1, 160 m s - 1, 180 m s - 1

MARKS App · Accepted Answer

y = 2 a sin k x cos ω t ⇒ k = 5 π 4 m - 1 , ω = 200 π rad s - 1 , v = ω k = 200 π 5 π 4 = 160 m s - 1

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