# Homework Help: Hydrostatic Pressure and Force

1. Feb 28, 2010

### 3.141592654

1. The problem statement, all variables and given/known data

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.

2. Relevant equations

$$P=g*\rho*h$$

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

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

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

3. 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?
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Feb 28, 2010

### 3.141592654

Nevermind, I realized that since I was dealing with lbs, I was including the force of gravity a second time!