What does it mean for there to be uniform pressure?

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Homework Help Overview

The discussion revolves around the concept of uniform pressure within a closed hemispherical shell filled with fluid. Participants are exploring the implications of the term "uniform pressure p" in the context of fluid mechanics.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster questions the meaning of uniform pressure, suggesting that pressure should vary with depth due to the weight of the fluid above. Other participants speculate about the conditions under which uniform pressure might apply, such as the absence of significant gravity or the nature of the fluid.

Discussion Status

The discussion is active, with participants sharing their interpretations and assumptions regarding uniform pressure. Some suggest that the uniformity simplifies the problem, while others are probing the underlying assumptions about the fluid's behavior.

Contextual Notes

There is a lack of specification regarding the type of fluid, which may affect pressure variation. Participants are also considering the implications of the problem being set in a context with negligible gravitational effects.

eprparadox
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Homework Statement



A closed hemispherical shell of radius R is filled with fluid at uniform pressure p. The net force of the fluid on the curved portion of the shell is given by:

Homework Equations


The Attempt at a Solution


[/B]
I'm not even posting the answers because I'm not looking to get an answer.

I don't understand what it means for the fluid to be "at uniform pressure p".

At any height beneath the surface of this hemispherical shell, shouldn't the pressure be the sum of the weight of the water above it plus atmospheric pressure?

What does the uniform pressure, ## p ## mean?
 
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I would guess that the object is in space with no significant gravity and the fluid is stationary so there are no dynamic fluid forces.
Just assume the pressure is the same at all points in the fluid.
 
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I would assume the same
 
eprparadox said:
weight of the water
It does not specify water. A fluid can be a gas, so the variation in pressure may be negligible.
 
It is likely to make the problem a lot easier :-)
 
It most likely means that fluid pressure is not variable across the shell, at all points of the shells surface the pressure is not polarized to anyone particular sector of it .

It is probably to make the question easier
 

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