Need Help Regarding a U Shaped tube problem

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    Pressure Tube
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Discussion Overview

The discussion revolves around a U-shaped tube problem involving fluid pressure at different points within the tubes. Participants explore the relationship between pressure and height in fluids, particularly in the context of fluids with different densities, such as oil and water.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants question why the pressure at point A is less than at point B, given that they are on the same horizontal plane.
  • There is a request for a formula that describes how pressure changes with height, specifically involving fluid density, gravity, and height.
  • Some participants note that if the tubes are open to the atmosphere, the pressure at the top of each tube equals atmospheric pressure, but the heights of the fluid columns differ due to varying fluid densities.
  • One participant suggests that the pressure difference is due to the height difference between points A and B, while another challenges this by stating that both points are at the same height.
  • There is mention of the expression ##\rho gh##, indicating a reference to the hydrostatic pressure equation.

Areas of Agreement / Disagreement

Participants express conflicting views regarding the pressure at points A and B, with some asserting they should be equal due to equal height, while others argue that the differing fluid densities and heights must be considered. The discussion remains unresolved.

Contextual Notes

There are limitations regarding the assumptions made about the fluid densities and the heights of the fluid columns, which are not fully clarified. The discussion also relies on the understanding of hydrostatic pressure principles.

AmirWG
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15514597753401559334584.jpg

my text box says that the pressure at point A is less than pressure at point B
Are not they supposed to have same pressure as they are on the same horizontal plane ?
 

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AmirWG said:
View attachment 239550
my text box says that the pressure at point A is less than pressure at point B
Are not they supposed to have same pressure as they are on the same horizontal plane ?
How does pressure change with height? Do you have a formula handy? One involving the fluid density, the acceleration of gravity and the height of a section of fluid, perhaps?
 
AmirWG said:
Are not they supposed to have same pressure as they are on the same horizontal plane ?

Assuming the tubes are open to the atmosphere, the pressure at the top of each tube equals the pressure of the atmosphere. But note that the tops of the tubes are not at the same level? Evidently the two fluids in the tubes have different densities!
 
Last edited:
jbriggs444 said:
How does pressure change with height? Do you have a formula handy? One involving the fluid density, the acceleration of gravity and the height of a section of fluid, perhaps?
the only thing given is that the fluid in yellow is oil while the one in blue is water.
 
Mister T said:
Assuming the tubes are open to the atmosphere, the pressure at the top of each tube equals the pressure of the atmosphere. But note that the tops of the tubes are not at the same level? Evidently the two fluids in the tubes have different densities!
so the pressure at point A is less than pressure at point B because the height at point B is greater than the height at point A ? right ?
 
AmirWG said:
so the pressure at point A is less than pressure at point B because the height at point B is greater than the height at point A ? right ?
No. Points A and B are at the same height. Are you familiar with the expression ##\rho gh##?
 

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