Water is circulating through a closed system of pipes in a two-floor apartment. On the first floor, the water has a gauge pressure of 4.3 × 105 Pa and a speed of 2.0 m/s. However, on the second floor, which is 3.7 m higher, the speed of the water is 3.8 m/s. The speeds are different because the pipe diameters are different. What is the gauge pressure of the water on the second floor?
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.
Water is circulating through a closed system of pipes in a two-floor apartment. On the first floor, the water has a gauge pressure of 4.3 × 105 Pa and a speed of 2.0 m/s. However, on the second floor, which is 3.7 m higher, the speed of the water is 3.8 m/s. The speeds are different because the pipe diameters are different. What is the gauge pressure of the water on the second floor?
![The image depicts a U-shaped tube with two sections of fluid flowing in opposite directions. The fluid along the horizontal sections moves through identical coils on each side.
### Key Features:
1. **Fluid Flow Directions**:
- The left side of the tube has fluid moving to the right, indicated by an arrow labeled \( v_1 \).
- The right side of the tube has fluid moving to the left, indicated by an arrow labeled \( v_2 \).
2. **Height Measurement**:
- The vertical section of the U-tube is labeled with a height \( y_2 \).
### Description of Coils:
Both sides of the U-tube feature a series of parallel lines indicating coils or ridges through which the fluid flows horizontally.
This illustration might represent laminar flow in a closed system, possibly exploring principles of fluid dynamics such as conservation of energy, Bernoulli’s equation, or comparing flow rates and pressure differences across the tube’s segments.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83e4d0e0-41e1-45c9-8283-0ae60fe430d6%2F35e7d3e6-12e3-4451-a7dd-d90ec8c56535%2F9bax1le_processed.gif&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
![College Physics: A Strategic Approach (4th Editio…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)