Solving Fluid Statics Problem: Centre of Pressure

AI Thread Summary
The discussion focuses on calculating the center of pressure for a submerged semicircular plane in fluid statics. The problem specifies that the diameter of the semicircle is at the free surface of the liquid. The correct formula for determining the depth of the center of pressure is given as s = (3*pi*d) / 32. Participants suggest avoiding complex integration methods and refer to a specific equation in a linked resource for clarity. The conversation emphasizes the importance of understanding the underlying principles of fluid statics to solve such problems effectively.
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Ok, I've come across this problem in fluid statics, but seem to be getting the integration wrong:

"A semicircular plane is submerged vertically in a homogeneous liquid with its diameter d at the free surface. At what depth s is the centre of pressure?"

The answer should be

s = (3*pi*d) / 32

Any ideas?
 
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