First slide

Travelling wave

Question

The displacement Y of wave traveling in the $x -$ direction is given by $y = 10^{- 4} \sin (600 t - 2 x + π / 3)$ meters and $' t'$ in seconds. The speed of the wave-motion in $m / \sec$ is

Moderate

Solution

$v e l o c i t y o f w a v e = f λ F r e q u e n c y w = 600 \Rightarrow 2 π n = 600 \Rightarrow n = \frac{600}{2 π} W a v e l e n g t h k = \frac{2 π}{λ} = 2 \Rightarrow λ = \frac{2 π}{2} ∴ v = \frac{600}{2 π} \times \frac{2 π}{2} = 300 m / \sec$

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