A progressive wave equation is given by $y = 5 \sin(100\pi t - 0.4\pi x)$, where $x, y$ are in meters and $t$ in seconds. The wave velocity is:
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Question

A progressive wave equation is given by $y = 5 \sin(100\pi t - 0.4\pi x)$, where $x, y$ are in meters and $t$ in seconds. The wave velocity is:

Accepted Answer

Correct Option: 250 m/s 
Comparing with standard form $y = A \sin(\omega t - k x)$: $\omega = 100\pi$, $k = 0.4\pi$.
Wave velocity $v = \frac{\omega}{k} = \frac{100\pi}{0.4\pi} = 250	ext{ m/s}$.

Waves

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