The equation of a certain traveling transverse wave is y1 = 2 cos (200nt - 0.05nx) where x and ·y are in cm and t is the time in seconds. Find the transverse velocity of the vibration in y-direction, as a function of time. Hint: Take the partial derivative with respect to t, treating x as a constant. a. Uy = -400 n sin 2n(l OOt - 0.025x) c. Uy = -0.05 sin 2n(l00t - 0.025x) b. Uy = -200 sin 2n(l OOt - 0.025x) d. Uy = -0.10 n sin 2n(l OOt - 0.025x)

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Chapter16: Wave Motion
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Problem 16.9P
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The equation of a certain traveling transverse wave is y1 = 2 cos (200nt - 0.05nx) where x and ·y are in cm and t is the time in seconds.

Find the transverse velocity of the vibration in y-direction, as a function of time. Hint: Take the partial derivative with
respect to t, treating x as a constant.
a. Uy = -400 n sin 2n(l OOt - 0.025x)
c. Uy = -0.05 sin 2n(l00t - 0.025x)
b. Uy = -200 sin 2n(l OOt - 0.025x)
d. Uy = -0.10 n sin 2n(l OOt - 0.025x) 

I am confusing myself on this question and this type of question in general, please help.

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