Centroid and centre of pressure

[Pietair]

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?

 

[Pietair]

Anyone?

 

[MisterOL]

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...

 

[iq97ca]

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