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- anonymous

A small dam is constructed across a stream. vertical cross section of the stream is y=2x^2. the dam is 4 ft tall. Set up and evaluate an integral that estimates the hydrostatic force on the damn when the water is all the way to the top. Force=Pressure*Area and Water weighs 62.5lb/cubic foot.

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- anonymous

- chestercat

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- anonymous

here is a picture of the vertical cross section

- anonymous

Let's cut the water into n layers of thickness of x*subk, x being the kth level. The work done is Fx

- anonymous

ok

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- anonymous

i ended up with 471.4 lbs

- anonymous

I am trying to figure out the length across the top of the dam. Well, you already have an integral on your diagram, I am trying to set up an integral from scratch.

- anonymous

ok. the length across the top is \[2\sqrt{2}\]

- anonymous

r/x=sqrt2/4=1/2sqrt2

- anonymous

Getting lost

- anonymous

This is my hail mary: integral 0 to 4, (62.5pi/9)*4x^2 dx. Let's hope we're right or anyone on the other side is going to drown.

- anonymous

I'm sorry in place of 9 write in 2*sq rt 2

- anonymous

My buddy is a lecturer. He is in class right now. I'll call him later to see if we are on track.

- anonymous

I reserve the right to change
integral 0 to 4 of 62.4(4-y) sq rt (2y) dy

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