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Buoyancy Force Calculator

Calculate the buoyant force on a submerged object with Archimedes' principle, plus float/sink and fraction submerged.

About this tool

Buoyancy Force Calculator is a free, in-browser tool that applies Archimedes' principle to find the upward buoyant force on an object in a fluid. Pick a fluid preset (fresh water, seawater, oil or air) or type any density, enter the object's volume, and optionally its mass to get a float-or-sink verdict. Nothing is uploaded — every figure is computed locally as you type.

The buoyant force is Fb = ρ·V·g, where ρ is the fluid density, V is the submerged volume and g is gravitational acceleration (9.81 m/s²). This force equals the weight of the displaced fluid. When you supply the object's mass, the tool derives its density (mass ÷ volume): if that is less than the fluid's it floats, otherwise it sinks. Apparent weight is the true weight W = m·g minus the buoyant force.

For a floating object the fraction submerged equals the density ratio ρ_object ÷ ρ_fluid, so an object half the fluid's density floats with half its volume under the surface. Change any input to explore how denser fluids like seawater increase lift and reduce how deep a body sits.

Frequently asked questions

What is Archimedes' principle?
It states that the upward buoyant force on a submerged body equals the weight of the fluid it displaces: Fb = ρ·V·g. This tool computes exactly that value and reports it in newtons.
How does it decide whether an object floats or sinks?
It compares densities. The object's density is its mass divided by its volume; if that is less than the fluid density it floats, if greater it sinks, and if equal it is neutrally buoyant and hovers at any depth.
What does 'fraction submerged' mean?
For a floating object it is the share of its volume below the surface, equal to the density ratio ρ_object ÷ ρ_fluid. An object with 60% of the fluid's density floats with 60% of its volume submerged.
Is my data sent anywhere?
No. All buoyancy math runs entirely in your browser — densities, volumes and masses never leave your device.

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