Pressure is equal or force is equal at the bottom?

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Homework Help Overview

The discussion revolves around understanding the pressure at the bottom of two containers filled with the same fluid, where one container is inverted relative to the other. Participants are exploring the relationship between pressure and force in this context, questioning how these concepts apply given the equal volume and density of the fluids involved.

Discussion Character

  • Conceptual clarification, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the implications of pressure being equal at the bottom of both containers, while also considering the forces acting on the fluid and the role of the container's shape. There are attempts to clarify the definitions of force and pressure, and how they relate to the fluid dynamics in the scenario presented.

Discussion Status

The discussion is active, with participants offering various interpretations and insights. Some have provided guidance on considering the forces exerted by the container's sides and the implications for pressure calculations. There is an ongoing exploration of the differences between pressure and force, and how these concepts apply to the problem at hand.

Contextual Notes

Participants are navigating assumptions about the fluid's behavior in equilibrium and the effects of container geometry on pressure distribution. There is a recognition of the need for clarity regarding the specific forces being referenced in the discussion.

  • #31
Again volume of both the fluid is same ; so the density. That means weighing machine would read same for both.
Pressure will be same at the bottom of container because it is dependent only on the height of water column.

In the first figure the slanted wall will exert force on the downward direction plus the weight of the fluid also acting downward, that will be compensated by larger flat base
In the 2nd figure slanted wall will exert force on upward direction, that will compensate only weight of the fluid; no need of larger flat base.

Moral of the story; same net force, same pressure on the bottom of the two tank.
 
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  • #32
Ravi Singh choudhary said:
Moral of the story; same net force, same pressure on the bottom of the two tank.

Yes, that's correct. If one draws a free body diagram of a small patch of each container bottom, then the force applied to the inside is the same in both cases while the force applied to the outside of the elements changes depending on the bottom area. The net force on these elements must be zero. This additional force is applied at he edges of the elements and originates from stresses applied from the slanted walls.
 

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