A transverse harmonic wave on a string is given by y x , t = 5 sin 6 t + 0 . 003 x where x and y are in cm and t in sec . The wave velocity is _________ m s - 1 .

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TestHub · Accepted Answer

The general equation for a wave can be written as $y = A \sin (ω t + k x)$ . Comparing it with the given equation, $y = 5 \sin (6 t + 0.003 x)$ ,
$ω = 6 rad s^{- 1}$ , $k = 0.003 {cm}^{- 1}$
Using the equation, $v = \frac{ω}{k}$
$v = \frac{6}{0.003 \times 10^{2}} = 20 m s^{- 1}$

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