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  4. A transverse stationary wave passes through a string with the equation y =10 sin π(0.02 x -2.00 t ) where x is in meters and t in seconds. The maximum velocity of the particles in wave motion is

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Q. A transverse stationary wave passes through a string with the equation $y =10 \sin \pi(0.02 x -2.00 t )$ where $x$ is in meters and $t$ in seconds. The maximum velocity of the particles in wave motion is

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Solution:

$y=10 \sin \pi(0.02 x-2.00 t)$
$\frac{\partial y}{\partial t}=-20 \pi \cos \pi(0.02 x-2.00 t)$
$\left(\frac{\partial y}{\partial t} \div\right)_{\max }=20 \pi=63$ units.