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The equation of a progressive wave isy = 4 sin (4pit - 0.04 x + pi/3)where x is in meter and t is in second. The velocity of the wave is |
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Answer» `100 PI m//s` `y = 4 SIN(4pi t- 0.04 x + pi/3)` Compare it with the standard wave EQUTION `y =A sin(omega t - kx + phi)` we get, `omega = 4pi rad s^(-1), k= 0.04 rad m^(-1)` `therefore` Velocity of the wave, `v = omega/k = (4pi rad s^(-1))/(0.04 rad m^(-1)) = 100 pi ms^(-1)` |
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