The equation of a wave motion (with t in seco | vedclass

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(A) The standard equation of a travelling wave is given by $y = A \sin(\omega t - kx + \phi)$.Comparing the given equation $y = 7 \sin(7\pi t - 0.4\pi

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$17.5 \ m/s$

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(A) The standard equation of a travelling wave is given by $y = A \sin(\omega t - kx + \phi)$.Comparing the given equation $y = 7 \sin(7\pi t - 0.4\pi x + \frac{\pi}{3})$ with the standard equation,we get:Angular frequency $\omega = 7\pi \ rad/s$.Wave number $k = 0.4\pi \ rad/m$.The velocity of the wave $v$ is given by the ratio of angular frequency to wave number:$v = \frac{\omega}{k}$$v = \frac{7\pi}{0.4\pi}$$v = \frac{7}{0.4} = \frac{70}{4} = 17.5 \ m/s$.Therefore,the velocity of the wave is $17.5 \ m/s$.

The equation of a wave motion (with $t$ in seconds and $x$ in metres) is given by $y = 7\sin(7\pi t - 0.4\pi x + \frac{\pi}{3})$. The velocity of the wave will be

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