Archimedes' Principle Calculator
Calculate buoyant force: Fb = ρ g V.
Instructions
1
Enter the fluid density
Use kg/m³; water is ~1000 kg/m³ at room temperature.
2
Enter displaced volume
Use cubic meters of the submerged volume.
3
Click Calculate
The tool returns buoyant force in Newtons.
Formula
Fb = ρ g V
Where: ρ is fluid density, g is gravitational acceleration, V is displaced volume.
Example: ρ = 1000 kg/m³, V = 0.05 m³ → Fb ≈ 490.33 N.
About Archimedes' Principle
An object immersed in a fluid experiences an upward buoyant force equal to the weight of the displaced fluid.
Applications
- Ship and submarine buoyancy
- Hydrometer measurements
- Balloon and blimp lift estimates
Common Questions
Does shape matter?
For buoyant force magnitude, only displaced volume matters, not shape.
What about gases?
Archimedes' principle applies to gases as well; use gas density for ρ.
Why does a ship float?
Its average density is less than water due to enclosed air, so buoyant force balances weight.