What does it mean for there to be uniform pressure?

AI Thread Summary
Uniform pressure in a fluid means that the pressure is consistent throughout the fluid, regardless of height or other factors. This concept simplifies calculations by assuming that the pressure does not vary across the surface of the closed hemispherical shell. The discussion highlights that while typically pressure increases with depth due to the weight of the fluid above, the uniform pressure assumption negates this variable. It is suggested that this scenario may apply in conditions like space, where gravity is negligible, or with gases where pressure variation is minimal. Overall, the uniform pressure assumption is intended to streamline the problem-solving process.
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


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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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