Buoyant force from density and volume

Any object, totally or partially immersed in a fluid (i.e. liquid or gas), is buoyed up by a force equal to the weight of the fluid displaced by the object. Also known as the Archimedes principle. The buoyant force vector is directed opposite to the gravity vector.

Links:

  1. Wikipedia.

buoyant_force

The buoyant (Archimedes) force.

Symbol:

F_A

Latex:

\(F_\text{A}\)

Dimension:

force

fluid_density

The density of the fluid.

Symbol:

rho

Latex:

\(\rho\)

Dimension:

mass/volume

displaced_volume

The volume of the displaced fluid. Equivalently, the volume of the part of the body immersed in the fluid.

Symbol:

V

Latex:

\(V\)

Dimension:

volume

law

F_A = -rho * g * V

Latex:
\[F_\text{A} = - \rho g V\]