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Buoyancy Calculator

Calculate the buoyant force (Archimedes' principle) from the fluid density and the object's volume and mass, and see whether it floats or sinks.

Last updated: November 8, 2026

How Is Buoyant Force Calculated?

Archimedes' principle

By Archimedes' principle, an object in a fluid is pushed up by a force equal to the weight of the fluid it displaces: • F = ρ_fluid × V × g • ρ_fluid fluid density (kg/m³), V submerged volume (m³), g = 9.81 m/s² Example: an object of 10 litres (0.01 m³) fully under water gets 1,000 × 0.01 × 9.81 ≈ 98.1 N of buoyancy. If it has a mass of 7 kg, its weight is 68.6 N; buoyancy wins, so it floats with 70% of its volume under water. In short: an object less dense than the fluid floats, a denser one sinks.

Frequently Asked Questions

Common questions about buoyancy

F = ρ × V × g: fluid density times submerged volume times gravitational acceleration.

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