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Question
In the given progressive wave y = 5 sin (100 πt – 0.4 πx) where y and x are in m, t is in s. What is the wave velocity.
Solution
Wave is travelling in + x direction because ωt and kx have opposite signs.
The standard equation is given by, y = a sin(ωt – kx + `phi`)
We have, y = 5 sin (100 πt – 0.4 πx)
Therefore, on comparing we get a = 5 m, ω = 100 πk = 0.4 π
We know that, v = λv. Therefore, we get
⇒ v = 5 × 50
⇒ v = 250 m/s
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