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.
12.2
![### Exercise 12.12
A barrel contains a 0.140-m layer of oil floating on water that is 0.255 m deep. The density of the oil is 610 kg/m³.
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#### Part A
**Question:**
What is the gauge pressure at the oil-water interface?
**Answer Input:**
```
P = ________ Pa
```
*Submit Answer Button*
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#### Part B
**Question:**
What is the gauge pressure at the bottom of the barrel?
**Answer Input:**
```
P = ________ Pa
```
*Submit Answer Button*
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### Explanation
To solve the problems, you need to understand the principle of fluid pressure. Gauge pressure at a certain depth is given by:
\[ P = \rho \cdot g \cdot h \]
Where:
- \(\rho\) is the density of the fluid (in kg/m³),
- \(g\) is the acceleration due to gravity (approximately \(9.81 \, \text{m/s}^2\)),
- \(h\) is the height of the fluid column above the point in question (in meters).
In Part A, you are asked to find the gauge pressure at the oil-water interface. Specifically, you use the height and density of the oil.
In Part B, you need to find the gauge pressure at the bottom of the barrel. Here you would consider the cumulative height of both oil and water columns and their respective densities.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a01406f-5d2c-4d09-8873-592de410e115%2F7b9c3e4f-8641-4aa7-80e9-b08d79d6ca6f%2Fhrfywn_processed.png&w=3840&q=75)
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