Displacement of a traveling wave

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    Displacement Wave
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SUMMARY

The displacement of a traveling wave is described by the equation y = 0.13 sin(t - 3.82x), indicating that the wave travels in the +x direction. To find the displacement at specific values of time and position, substitute t = 26.5 s and x = 6.4 m into the equation. The calculation involves basic arithmetic to evaluate the sine function, yielding the displacement value.

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Homework Statement


The displacement (in meters) of a wave is y = 0.13 sin(t - 3.82x), where t is in seconds and X is in meters.

(a) Is this wave traveling in the +x or -x direction?


1.+x direction.
2.-x direction

(b) What is the displacement y when t = 26.5 s and x = 6.4 m?




The Attempt at a Solution




The solution for part a is positive x direction
I cannot figure out how to do this problem at all. Professor did not cover this material and I have no background knowledge in vibrations or waves. I have been reading the chapter in the book, but it doesn't make any sense and doesn't have any equations. I'd really appreciate a good teacher right now. :)
 
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I don't see any physics in this question! It is just some arithmetic work. You must substitute t = 26.5 s and x = 6.4 m into the equation
y = 0.13 sin(t - 3.82x)
and find the value of y.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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