Respuesta :

oladayoademosu

The speed of the wave  given by the wave equation y(x,t) = (9.13 mm) sin[(6.65 m-1)x - (5.52 s-1)t] is 0.83 m/s

How to find the speed of the wave?

The speed of a wave given the equation of the wave y'(x,t) = Asin(kx - ωt) is given by v = ω/k where

  • ω = angular speed of wave and
  • k = wave number

Given that the wave equation is y(x,t) = (9.13 mm) sin[(6.65 m-1)x - (5.52 s-1)t] and comparing it with y' above, we have that

  • k = wave number = 6.65 m⁻¹ and
  • ω = angular speed = 5.52 s⁻¹

Since the speed of the wave v =  ω/k, substituting the values of the variables into the equation, we have

v =  ω/k

v =  5.52 s⁻¹/6.65 m⁻¹

v = 0.83 m/s

So, the speed of the wave given by the wave equation y(x,t) = (9.13 mm) sin[(6.65 m-1)x - (5.52 s-1)t] is 0.83 m/s

Learn more about speed of a wave here:

https://brainly.com/question/25141502

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