Centroid and centre of pressure

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    Centroid Pressure
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Homework Help Overview

The discussion centers around the relationship between the centroid and the center of pressure for a plane submerged in a fluid, specifically addressing why the distance between these two points decreases as the depth of the fluid increases.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the underlying reasons for the observed behavior of the centroid and center of pressure, with some questioning the basic principles involved. There is a mention of a formula related to the distance between the two points as depth increases.

Discussion Status

The discussion is ongoing, with participants seeking clarification and attempting to understand the relationship between depth and the distance between the centroid and center of pressure. Some guidance has been offered, but there is no clear consensus yet.

Contextual Notes

There appears to be a lack of concrete examples or detailed problem-solving attempts, which may be affecting the depth of the discussion.

Pietair
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Homework Statement


Explain why the distance between the centroid and the centre of pressure for a plane submerged fluid decreases as the depth of fluid increases.

I know that the centre of pressure for a plane submerged fluid is located below the centroid because pressure increases with depth.

But why is the distance between centroid and centre of pressure decreasing as the depth of fluid increases?
 
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Well I am looking for same answer and what I found out is if there is not a conrete example that you actullay tried to solve there is not much help on the basics on this forum...
 
its because y'cp=density*sin(theta)*I_xx/(P_CG*A) as the depth increases the P_CG increases causing the y'cp (the distance between the two points) to decrease
 

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