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
<h3>How to find the speed of the wave?</h3>
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:
brainly.com/question/25141502
#SPJ4
