A wave is represented by the equation y-7 sin7 - t-0-04 - x-3 x is in metres and t is in seconds- The speed of the wave isA- 175 m - sB- 49 - m - sC- 0-28 - m - sD- 49- m - s

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Speed in a Medium

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Question

A wave is represented by the equation $y = 7 s i n (7 π t - 0.04 π x + \frac{π}{3})$ x is in metres and t is in seconds. The speed of the wave is

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Solution

The correct option is A

Standard equation

$y = A s i n (ω t - k x + ϕ_{0})$

In a given equation $ω = 7 π, k = 0.04 π$

$v = \frac{ω}{k} = \frac{7 π}{0.04 π} = 175 m / s$

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Standard equation

$y = A s i n (ω t - k x + ϕ_{0})$

In a given equation $ω = 7 π, k = 0.04 π$

$v = \frac{ω}{k} = \frac{7 π}{0.04 π} = 175 m / s$