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
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...
(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!!