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Question: A wave is represented by the equation y = 7 sin \(\left( 7\pi t - 0.04x\pi + \frac{\pi}{3} \right)\...

A wave is represented by the equation

y = 7 sin (7πt0.04xπ+π3)\left( 7\pi t - 0.04x\pi + \frac{\pi}{3} \right)x is in metres and t is in seconds. The speed of the wave is –

A

175 m/sec

B

49 pm/sec

C

49 pm/sec

D

0.28 pm/sec

Answer

175 m/sec

Explanation

Solution

y = a sin[wt – kx + f]

\ v = ωK\frac{\omega}{K} ̃ v = 7π0.04π\frac{7\pi}{0.04\pi} = 175 m/s