Force on Curved areas

Not Reviewed
Equation / Last modified by mike on 2015/07/29 07:18
`f = `
DavidC.Force on Curved areas

A Hemispherical bowl, radius `r`, just full of water,  will exert a total force down equal to the sum of all forces acting on the surface.

Total force down = area x pressure intensity at centroid

     =`2pir^2 *"density of water"*"depth of centroid"*g`

     = `2pir^2*rho*(r/2)g`



But the forces acting around the hemispherical centroid balance out on opposite sides of the vertical axis and:

Resultant Force Down = volume of hemisphere * density of water * `g`

                                           = `2/3pir^3rhog`