Buoyancy Calculator

Find the upward buoyant force on a submerged object.

Inputs

kg/m³
m/s²
Formulas
Fb = ρ·V·g
m = ρ·V

Results

Buoyant force N
Displaced fluid mass kg

Archimedes' principle

Any object placed in a fluid experiences an upward buoyant force equal to the weight of the fluid it displaces. This is Archimedes' principle, expressed as Fb = ρVg, where ρ is the fluid density, V the displaced volume, and g the gravitational acceleration. It explains why ships float and why objects feel lighter underwater.

Fb = ρ·V·g

Float or sink?

An object floats if the buoyant force can equal its weight, which happens when the object is less dense than the fluid. If it is denser, it sinks. This calculator returns the buoyant force and the mass of fluid displaced. Pure water has a density of about 1000 kg/m³; seawater is slightly denser at around 1025 kg/m³.

Frequently asked questions

Why do ships float despite being made of steel?

A ship's hull encloses a large volume of air, so the average density of the whole ship is less than water. It displaces enough water to balance its weight.

Does buoyant force depend on depth?

For a fully submerged object of fixed volume, no. It depends on the displaced volume and fluid density, not on how deep the object is.