A wave is represented by the equation y = 7 s | vedclass

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(A) The general 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 - 0.04\pi

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$175 \, m/s$

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(A) The general equation of a travelling wave is given by $y = A \sin(\omega t - kx + \phi)$.Comparing the given equation $y = 7 \sin(7\pi t - 0.04\pi x + \frac{\pi}{3})$ with the general equation,we identify the angular frequency $\omega = 7\pi \, rad/s$ and the wave number $k = 0.04\pi \, rad/m$.The speed of the wave $v$ is given by the ratio of the coefficient of $t$ to the coefficient of $x$ (ignoring the sign),which is $v = \frac{\omega}{k}$.Substituting the values: $v = \frac{7\pi}{0.04\pi} = \frac{7}{0.04} = \frac{700}{4} = 175 \, m/s$.

$A$ wave is represented by the equation $y = 7 \sin(7\pi t - 0.04\pi x + \frac{\pi}{3})$,where $x$ is in metres and $t$ is in seconds. The speed of the wave is:

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