If the equation of motion of waves is y = 0.3 sin ( 314 t − 1.57 x ) , then the velocity of wave will be :

Question

TestHub · Accepted Answer

The general equation for a progressive wave is $y = A sin (ω t - k x)$ .

Comparing this with the given equation $y = 0.3 sin (314 t - 1.57 x)$ , we get:

Angular frequency $ω = 314 r a d / s$

Wave number $k = 1.57 r a d / m$

The wave velocity $v$ is given by the formula:

$v = \frac{ω}{k}$

Substituting the values:

$v = \frac{314}{1.57} = 200 m / s$

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