Pressure diagram labelled incorrectly?

  • Thread starter Thread starter needingtoknow
  • Start date Start date
  • Tags Tags
    Diagram Pressure
Click For Summary

Homework Help Overview

The discussion revolves around the concept of pressure in fluids, specifically addressing the interpretation of gauge pressure in relation to atmospheric pressure as depicted in a diagram. Participants are examining the validity of the equation Ptotal = Patsurface + Pgauge in the context of fluid mechanics.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the nature of gauge pressure and its relationship to atmospheric pressure, questioning whether the equation accurately reflects the pressure dynamics at a specified point in a fluid. There is also a discussion about how pressure varies with depth in a fluid and the implications of fluid weight on gauge pressure.

Discussion Status

The conversation is ongoing, with some participants providing clarifications about the definitions of gauge pressure and its dependence on fluid weight. There is recognition of the relationship between pressure and depth, but no explicit consensus has been reached regarding the initial question about the equation's validity.

Contextual Notes

Participants are navigating assumptions about pressure definitions and the implications of fluid weight, with some confusion regarding the diagram referenced in the original post. The discussion reflects a common challenge in understanding fluid pressure concepts in a homework context.

needingtoknow
Messages
160
Reaction score
0

Homework Statement



At the point specified in the diagram, isn't pressure coming from all directions, namely gauge pressure. So wouldn't some of the gauge pressure be used to counteract the effects from the atmospheric pressure. Doesn't this mean the equation Ptotal = Patsurface + Pgauge is wrong?
 

Attachments

  • pressure.PNG
    pressure.PNG
    10.2 KB · Views: 444
Physics news on Phys.org
You are correct that at any point, the pressure is the same in all directions. But I believe you are misinterpreting the diagram. What they are calling Pgauge is just that portion of the pressure due to the weight of the fluid itself. So the equation holds.
 
So but if it's only due to weight then by that saying wouldn't water at the bottom of the container have the greatest Pgauge because it is under the most fluid and the weight of a fluid is F = Pvg right so more volume = larger weight?
 
needingtoknow said:
So but if it's only due to weight then by that saying wouldn't water at the bottom of the container have the greatest Pgauge because it is under the most fluid and the weight of a fluid is F = Pvg right so more volume = larger weight?
It's the pressure of the fluid, not the volume, that counts. But yes, at the bottom of the container the pressure due to the fluid is greatest. The pressure at any point below the surface is given by ρgh, regardless of volume.
 
  • Like
Likes   Reactions: 1 person
All right great then that makes sense! Thank you very much!
 
Gage pressure is defined as total pressure minus ambient atmospheric air pressure.

Chet
 

Similar threads

Replies
2
Views
1K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
5K
Replies
10
Views
4K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
1
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K