Asked Dec 6, 2019

The vertical displacement of an ocean wave is described by the function, y = A sin(ωt - kx). k is called the wave number (k = 2π/λ) and has a value of k = 19 rad/m. The remaining values are A = 4.5 m and ω = 15.5 rad/s.

Using y = A sin(B), input an expression for B where the wave would be traveling in the -x-direction. 


Expert Answer

Step 1

The vertical displacement is given by


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y = Asin ( @t - kx)

Step 2

As the displacement of the ocean wave when traveling negative x direction will be


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y = Asin (@t +kx)

Step 3

Compare with the equatio...


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B = ot + lx =15.5t+19x


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