Difference between Centroid and Centre of Pressue

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Homework Help Overview

The discussion revolves around the concepts of Centre of Pressure and Centroid, particularly in the context of submerged surfaces and how pressure affects their positions.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between Centre of Pressure and Centroid, questioning why they can differ for submerged surfaces. There is a focus on the effects of pressure distribution and gradients on these points.

Discussion Status

Participants are actively discussing the implications of pressure application on submerged surfaces, with some providing insights into how pressure gradients influence the positions of the Centre of Pressure and Centroid. There is an acknowledgment of differing interpretations regarding the conditions under which these points coincide.

Contextual Notes

Some participants reference Pascal's Law and the effects of angles on pressure distribution, indicating that assumptions about uniform pressure may not hold in all scenarios.

Yam
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Homework Statement


What is the difference between the Centre of Pressure and Centroid

Homework Equations

The Attempt at a Solution


My understanding is that the centre of pressure acts on a centroid. So, how come they can be on different positions for a submerged surface?
 
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If pressure is applied evenly to a flat surface, then the center of pressure is the centroid. If a submerged surface is at an angle, then the pressure is not constant across the surface.
 
RUber said:
If pressure is applied evenly to a flat surface, then the center of pressure is the centroid. If a submerged surface is at an angle, then the pressure is not constant across the surface.

Even if the submerged surface is perfectly vertical, the centroid and the c.p. don't coincide because of the pressure gradient due to Pascal's Law where P = ρgh.
 
SteamKing said:
Even if the submerged surface is perfectly vertical, the centroid and the c.p. don't coincide because of the pressure gradient due to Pascal's Law where P = ρgh.
Likely RUber meant at an angle to the horizontal, which would include 90 degrees.
 

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