How Do You Calculate Hydrostatic Pressure and Force in an Aquarium?

AI Thread Summary
To calculate hydrostatic pressure and force in an aquarium, the pressure formula P = g * ρ * h is used, where ρ is the water density and h is the depth. For an aquarium measuring 5ft long, 2ft wide, and 3ft deep, the correct pressure is 187.5 lbs/ft². The force on the bottom of the tank is calculated using F = g * ρ * A * h, resulting in 1875 lbs. The initial confusion arose from incorrectly incorporating gravitational force into the calculations. The final answers reflect the proper application of hydrostatic principles.
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Homework Statement



An aquarium 5ft long, 2 ft wide, and 3 ft deep is full of water. Find the hydrostatic pressure and the hydrostatic force on the bottom of the tank.

Homework Equations



P=g*\rho*h

F=m*g=g*\rho*A*h

\rho=62.5 \frac{lbs}{ft^3}

g=32 \frac{ft}{s^2}

The Attempt at a Solution



P=(32)(62.5)(3)=6000 \frac{lbs}{s^2}

F=(32)(62.5)(10)(3) = 60000 \frac{ft*lbs}{s^2}

I know the answers should be 187.5 \frac{lbs}{ft^2} and 1875 lbs, respectively, so I've done these problems wrong. They seem so simple though that I'm thrown for a loop. Are my equations wrong?
 
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Nevermind, I realized that since I was dealing with lbs, I was including the force of gravity a second time!
 
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