The equation of a transverse wave travelling | vedclass

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(C) The standard equation of a progressive wave is $y(x, t) = A \sin(kx + \omega t + \phi)$.Comparing the given equation $y(x, t) = 4.0 \sin(20 	imes

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$-30 \ m/s$

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(C) The standard equation of a progressive wave is $y(x, t) = A \sin(kx + \omega t + \phi)$.Comparing the given equation $y(x, t) = 4.0 \sin(20 	imes 10^{-3} x + 600 t)$ with the standard form:Angular frequency $\omega = 600 \ rad/s$.Wave number $k = 20 	imes 10^{-3} \ mm^{-1} = 20 \ m^{-1}$.The wave velocity $v$ is given by $v = -\frac{\omega}{k}$.The negative sign indicates that the wave is travelling in the negative $x$-direction.$v = -\frac{600}{20} = -30 \ m/s$.

The equation of a transverse wave travelling along a string is $y(x, t) = 4.0 \sin(20 \times 10^{-3} x + 600 t) \ mm$,where $x$ is in $mm$ and $t$ is in seconds. The velocity of the wave is:

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