Doubt about "venturi meter" question

In summary, the conversation is about the equations used to solve a problem and the resulting solutions. The person is questioning the accuracy of their teacher's multiple choice answers and seeking clarification. They may have found an error in the choices or in their understanding of the equations.
  • #1
math132003
3
1
Homework Statement
Using Bernoulli’s equation for
steady incompressible flow with no losses,
show that the flow rate Q is related to the
manometer reading h by:
Relevant Equations
Bernoulli
1603897775867.png
fig
equations that I used:
1603897507798.png

Δz = 0
1603897562755.png
=
1603897854737.png

1603898156293.png


and I got the following result (which is the same in the book's solution book):
1603897172881.png
but in my test I can only choose one of these:

alternativas.PNG

I would like to know if there is a mistake by my teacher or if it is possible to obtain one of these multiple choice alternatives.

Thanks!:smile:
 

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  • #2
I agree with your answer. None of the choices can be made to agree with your answer. So, you might ask your teacher about it. In the choices, maybe the teacher meant to write ##A_2/A_1## instead of ##D_2/D_1##, or write ##A_1/A_2## intstead of ##D_1/D_2. ##
 

1. What is a venturi meter?

A venturi meter is a device used to measure the flow rate of a fluid in a closed system. It consists of a constricted tube, called a venturi, which causes a pressure drop in the fluid. This pressure drop can then be used to calculate the flow rate.

2. How does a venturi meter work?

A venturi meter works by utilizing the principle of Bernoulli's equation, which states that as the velocity of a fluid increases, the pressure decreases. The venturi meter has a narrow throat in the middle, which causes the fluid to speed up and create a low-pressure area. This pressure difference is then measured and used to calculate the flow rate.

3. What are the advantages of using a venturi meter?

One of the main advantages of using a venturi meter is its accuracy. It can provide precise measurements even for highly viscous fluids. Additionally, it has a simple design, is easy to install, and has a low maintenance cost.

4. Are there any limitations to using a venturi meter?

While venturi meters are highly accurate, they do have some limitations. They are not suitable for measuring fluids with high solid content, as this can cause clogging in the narrow throat. They also have a limited range of flow rates that they can accurately measure.

5. How is a venturi meter calibrated?

A venturi meter can be calibrated by comparing its readings to a known standard. This is typically done using a calibration rig that can provide a range of flow rates. The readings from the venturi meter are then compared to the known flow rates to determine its accuracy and make any necessary adjustments.

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