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Hydrostatic Force acting on Submerged Surface

Calculate the thrust force acting on a submerged surface.

Thrust force acting on a submerged surface

The thrust force acting on a surface submerged in a liquid can be calculated as

F = p a A

= ρ g h a A                           (1)

where

F = thrust force (N)

p a = ρ g h a = average pressure on the surface (Pa)

A = area of submerged surface (m2)

h a = average depth (m)

ρ = density (kg/m3 )  (water 1000 kg/m3 )

g = acceleration of gravity (9.81 m/s2)

Example - The thrust force acting on the side of a container

The trust force acting on the submerged vertical side of a container can be calculated as

F = p a A

= ( (p t + p b ) / 2) A

= ( ρ g (h t + h b ) / 2) A (2)

where

p t = pressure at the top of the submerged surface (Pa)

p b = pressure at the bottom of the submerged surface (Pa)

h t = depth at the top of the submerged surface (m)

h b = depth at the bottom of the submerged surface (m)

The thrust on a surface with width 1 m and height from 0 m to 2 m - in a water-filled container can be calculated as

F = ( ρ g (h t + h b ) / 2) A

= (1000 kg/m3 ) (9.81 m/s2) ((0 m) + (2 m)) / 2) ( (1 m) (2 m) )

= 19620 N

= 19.6 kN

Example - The thrust force acting on the bottom of a container

The trust force acting on the horizontal bottom of a submerged container can be calculated as

F = p b A

= ρ g h b A (2b)

The thrust on a bottom with width 1 m and length 2 m - on depth 1 m - in a water filled container can be calculated as

F = ρ g h b A

= (1000 kg/m3 ) (9.81 m/s2) (1 m) ( (1 m) (2 m))

= 19620 N

= 19.6 kN

Related Topics

  • Fluid Mechanics

    The study of fluids - liquids and gases. Involving velocity, pressure, density and temperature as functions of space and time.

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