Formulas & tables/Physics/Thermodynamics/Buoyant force (Archimedes' principle)

Buoyant force (Archimedes' principle)

Fw=ρgVF_w=\rho g V

Result unit: N (newton)

What it describes

Archimedes' principle — a submerged body experiences a buoyant force equal to the weight of the displaced liquid.

Symbols

FwF_w
buoyant force
[N]
ρ\rho
density of the liquid
[kg/m³]
gg
gravitational acceleration
[m/s²]
VV
volume of the submerged part
[m³]

Where it comes from

A submerged body experiences a buoyant force equal to the weight of the displaced liquid (Archimedes' principle). When the buoyancy exceeds the weight, the body floats; when it is smaller, it sinks.

When to use it

Floating, determining density, balloons (buoyancy in a gas).

Example

A body of volume 0.0020.002 m³ is submerged in water (ρ=1000\rho=1000, g=10g=10). Calculate the buoyant force.
Substitutionρ=1000\rho=1000, g=10g=10, V=0.002V=0.002.
ResultFw=1000⋅10⋅0.002=20F_w=1000\cdot10\cdot0.002=20 N.

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