# Illustration Buoyant Force (Archimedes' principle)

Buoyancy force $$\boldsymbol{F}_{\text A}$$ acts on a body because it displaces the liquid of mass density $$\rho$$. The buoyancy force is greater the greater the volume $$V$$ displaced by the body. The volume $$V$$ is thus the volume of the body (Archimedes' principle).
The falling force $$\boldsymbol{F}_{\text g} = m \, \boldsymbol{g}$$ acts against the buoyancy force, where $$m$$ is the mass of the body. If the buoyancy force is greater than the falling force, then the body will float out of the liquid, upward.