Solve Mulitfluid Manometer Homework: Find Gage Pressure at Point A

  • Thread starter GZunich
  • Start date
  • Tags
    Manometer
In summary, the conversation is about using a manometer to measure the pressure of water in a tank. The problem involves finding the gage pressure at point A using variables for the densities of the water and the two manometer fluids. The equation used is P1-P2=(g/gc)(densitya(h1-h4)+densityb(h3-h2)), and the solution involves adding the increased pressure from tubes 1 and 2 to atmospheric pressure and subtracting the decreased pressure from the water. The correctness of the solution is uncertain and feedback is welcomed.
  • #1
GZunich
9
0

Homework Statement


The manometer shown below measures the pressure of the water in the tank. Using variables for
the densities (no values given), find the gage pressure at point A. Use the symbols ρw, ρ1, and ρ2
for the water and the two manometer fluids.
A picture is attached

Homework Equations


P1-P2=(g/gc)(densitya(h1-h4)+densityb(h3-h2))


The Attempt at a Solution


PA=Patm+ρ2(g/gc)(h3+h2)+ρ1(g/gc)(h2)-ρw(g/gc)(h1)
Im not sure if this is correct or not. Because 1 & 2 have increased pressure going down the tube they were added to Patm and the water had less pressure so it was subtracted. I am not sure if this is right so any input would be great.
 
Physics news on Phys.org
  • #2
here is the manometer picture
 

Attachments

  • Manometer.PNG
    Manometer.PNG
    7 KB · Views: 450

Related to Solve Mulitfluid Manometer Homework: Find Gage Pressure at Point A

1. What is a multifluid manometer and how does it work?

A multifluid manometer is a device used to measure pressure differences in a fluid system. It works by using a U-shaped tube filled with different fluids, with one side connected to the system being measured. The difference in fluid levels in the two sides of the tube indicates the pressure difference in the system.

2. How do you solve a multfluid manometer homework problem?

To solve a multfluid manometer homework problem, you first need to draw a diagram of the manometer, labeling all the given measurements and unknowns. Then, you can use the equation P1-P2 = (h1-h2)*ρ*g, where P1 and P2 are the pressures at the two sides of the manometer, h1 and h2 are the fluid levels, ρ is the density of the fluid, and g is the acceleration due to gravity. Finally, plug in the values and solve for the unknown pressure at the desired point.

3. What is gage pressure and how is it different from absolute pressure?

Gage pressure is the pressure measured relative to atmospheric pressure. It is calculated by subtracting the atmospheric pressure from the absolute pressure. Absolute pressure, on the other hand, is the total pressure exerted by a fluid, including atmospheric pressure. Gage pressure is often used in fluid mechanics because it is more convenient to measure and work with.

4. Can a multifluid manometer only be used for measuring gage pressure?

No, a multifluid manometer can also be used to measure absolute pressure. In this case, the atmospheric pressure is already known and can be added to the gage pressure to calculate the absolute pressure at a given point.

5. Are there any limitations to using a multifluid manometer?

Yes, there are a few limitations to using a multifluid manometer. It can only be used to measure pressure differences in a single plane, meaning it cannot be used for systems with pressure differences in multiple directions. Additionally, the fluid properties, such as density, must be known in order to accurately calculate the pressure difference. Lastly, the manometer can only measure pressure differences within a certain range, so it may not be suitable for systems with very high or very low pressures.

Similar threads

  • Introductory Physics Homework Help
Replies
1
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
10
Views
9K
  • Introductory Physics Homework Help
Replies
15
Views
9K
  • Introductory Physics Homework Help
2
Replies
60
Views
3K
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
2
Views
858
  • Introductory Physics Homework Help
Replies
20
Views
7K
  • Introductory Physics Homework Help
Replies
11
Views
5K
  • Introductory Physics Homework Help
Replies
16
Views
1K
Back
Top