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## Homework Statement

Calculate the total force the Oahe Dam, placed on a structure by the reservoir behind it (in pounds and Newtons).

Oahe Dam: height=75meters, width=2835meters

## Homework Equations

Pressure = Force / Area

Force = Pressure x Area

Hydrostatic Pressure: Atmospheric Pressure + (Density x Gravity x Height)

Density of Water= 1000kg/m^3

Gravity= 9.81 m/s^2

## The Attempt at a Solution

- I can use Calculus on this, I know that... but I'm not in calculus yet, so I'm attempting to solve algebraically at least.

- I understand that pressure increases as the depth increases... so pressure isn't the same in all levels (right?)

What I tried doing is calculating pressure using (density x gravity x height) in every height...

For example,

(1000*9.8*1m) + (1000*9.8*2m) + (1000*9.8*3m)... so forth until I reach 75m.

Then I found force by using F=P*A...

the area would be (75m * 2835m)

& I get a total of 5.94 x 10^12 N as the force

BUTTTTT. I think the force is too high... =/

I should also consider atmospheric pressure, but I don't know where to include that (if I even should!)

**PLEASE HELP MEEEE!!**