Problem 57P
Someone claims that she can determine the magnitude of the hydrostatic force acting on a plane surface submerged in water regardless of its shape and orientation if she knew the vertical distance of the centroid of the surface from the free surface and the area of the surface. Is this a valid claim? Explain.
ANSWER:
Step 1:-
We know that because of the variation of hydrostatic forces the centre of pressure may not be the actual center for the given submerged surface.
As far as the liquid is completely homogeneous, the resultant pressure on a completely submerged surface is,
.