A plane progressive wave is represented by the equation $y = 0.1 \sin \left( 200 \pi t - \frac{20 \pi x}{7} \right)$ where y is displacement in m, t in second and x is distance from a fixed origin in meter. The frequency, wavelength and speed of the wave respectively are
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Comparing the given equation with standard equation
We get $\omega = 2 \pi m = 200 \pi$ ⇒ ⇒ n = 100 Hz
$k = \frac{20 \pi}{17}$ ⇒ ⇒ $\lambda = \frac{2 \pi}{k} = \frac{2 \pi}{20 \pi / 17} = 1.7 m$
and $\mathbf{v} = \frac{\omega}{k} = \frac{200 \pi}{20 \pi / 17} = 170 \mathrm{m} / \mathrm{s}.$
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