The equation of a progressive wave is y = 0.0 | vedclass

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(B) The standard equation of a progressive wave is $y = A \sin (\omega t - kx)$.Given equation is $y = 0.02 \sin \left( \frac{2\pi t}{0.01} - \frac{2\

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$30$

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(B) The standard equation of a progressive wave is $y = A \sin (\omega t - kx)$.Given equation is $y = 0.02 \sin \left( \frac{2\pi t}{0.01} - \frac{2\pi x}{0.30} ight)$.Comparing the two,we get angular frequency $\omega = \frac{2\pi}{0.01} 	ext{ rad/s}$ and wave number $k = \frac{2\pi}{0.30} 	ext{ rad/m}$.The velocity of propagation $v$ is given by $v = \frac{\omega}{k}$.Substituting the values: $v = \frac{2\pi / 0.01}{2\pi / 0.30} = \frac{0.30}{0.01} = 30 	ext{ m/s}$.

The equation of a progressive wave is $y = 0.02 \sin 2\pi \left[ \frac{t}{0.01} - \frac{x}{0.30} \right]$. Here $x$ and $y$ are in $m$ and $t$ is in $s$. The velocity of propagation of the wave is .... $ms^{-1}$.

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