Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
![**Pressure Calculation at the Bottom of a Water Tower**
The task is to find the pressure (measured in pounds per square inch, or lb/in²) at the base of a water column that is 50.0 feet deep. The weight density of water is given as 62.4 pounds per cubic foot (lb/ft³).
**Explanation:**
To calculate the pressure at the bottom of the water tower, we use the following formula:
\[ \text{Pressure} = \text{Height} \times \text{Weight Density} \]
First, we convert the pressure from lb/ft² to lb/in². Since there are 144 square inches in a square foot (12 in x 12 in), we divide the resulting pressure by 144.
**Step-by-step Calculation:**
1. **Calculate the Pressure in lb/ft²:**
\[
\text{Pressure (in lb/ft²)} = 50.0 \text{ ft} \times 62.4 \text{ lb/ft³} = 3120 \text{ lb/ft²}
\]
2. **Convert to lb/in²:**
\[
\text{Pressure (in lb/in²)} = \frac{3120 \text{ lb/ft²}}{144 \text{ in²/ft²}} \approx 21.67 \text{ lb/in²}
\]
Thus, the pressure at the bottom of the water tower is approximately 21.67 lb/in².](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc463f08e-ec7e-4810-a9a2-5563bca4d00b%2Fef00cc15-190f-47f8-beed-18de73c8ca6b%2Fusduvk_processed.jpeg&w=3840&q=75)
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