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# Force on Curved areas

Not Reviewed

Equation / Last modified by mike on 2015/07/29 07:18
`f = `

Force on Curved areas

Variable | Instructions | Datatype |
---|---|---|

Radius of Hemisphere | Enter radius of hemisphere | Decimal |

Density of Water | Enter density of water | Decimal |

Type

Equation

Category

vCommons

Contents

2 variables

Tags:

Rating

ID

DavidC.Force on Curved areas

UUID

b3d86153-4469-11e3-a47b-bc764e049c3d

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`

=`pir^3rhog`

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`