By applying the wave equation we know that the displacement on the y-axis is 1.999 micrometers.
We need to know about wave equations to solve this problem. The displacement of the wave on the y-axis can be explained by the wave equation
y = A cos (kx - ωt)
where y is y-axis displacement, A is amplitude, k is wave number, x is x-axis displacement, ω is angular speed and t is time.
the wavenumber and angular speed of the wave equation can be determined respectively by
k = 2π / λ
ω = 2πf
where k is the wavenumber, λ is wavelength and f is frequency.
From the question above, we know that:
y = 2.00cos (15.7x - 858t)
(x in meters, t in second, y in micrometers)
x = 0.05 m
t = 3 ms
Convert time to second
t = 3ms = 0.003 s
By applying the wave equation, we get
y = 2.00cos (15.7x - 858t)
y = 2.00cos (15.7(0.05) - 858(0.003))
y = 2 cos(-1.789)
y = 1.999 micrometers
For more on wave equation on: brainly.com/question/25699025
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