The equation of a wave is y = 0.005 sin[x(0.5X - 200t)] where x and y are in meters and t is in seconds. What is the velocity of the wave?

The equation of a wave is y = 0.005 sin[x(0.5X - 200t)] where x and y are in meters and t is in seconds. What is the velocity of the wave?

Answer Details

y = 0.005 sin[x(0.5X - 200t)]

compare to Y = A sin(kx - wt)

$\lambda$ = $\frac{2\pi }{k}$ and F = $\frac{w}{2\pi }$

V= $\lambda$F

= $\frac{2\pi }{0.5}$ x $\frac{200}{2\pi }$

= 400ms-1