pressure at a depth h below the surface h = Ïgh
So, resultant force = ÏghA (btw as plane is in eqbm there is upward and downward equal forces)
The resultant is for one force only.
In this problem, h=z.
So, F=ÏgAz
Try this out,it's on hydraulics Equation.
Prove that the resultant force F on a plane surface of area A immersed vertically in a liquid of density (rho) is given by the equation:
F=rho.g.A.z
Where 'z' is the depth to the centroid of the plane area below the liquid surface level.
pressure at a depth h below the surface h = Ïgh
So, resultant force = ÏghA (btw as plane is in eqbm there is upward and downward equal forces)
The resultant is for one force only.
In this problem, h=z.
So, F=ÏgAz