Buoyancy Calculator (Archimedes’ Principle)
Buoyancy calculator: buoyant force on a submerged object (Archimedes’ principle) from fluid density and displaced volume.
Fb = ρ · V · g
How to use this calculator
- Choose the quantity you want under “Solve for”.
- Type the known values and pick their units: any combination works.
- The result updates as you type. Open “Show the steps” to see the substitution.
The upward force equals the weight of the fluid displaced. An object floats if its average density is lower than the fluid’s.
Formula
Fb = ρ · V · g
| Symbol | Quantity | Units |
|---|---|---|
| ρ | Fluid density (water 1000, seawater 1025) | kg/m³, g/cm³, g/mL, g/L, kg/L, lb/ft³, lb/gal |
| V | Submerged volume | L, mL, µL, m³, dm³, cm³, gal, gal (UK), qt, pt, cup, fl oz, ft³, yd³, in³ |
| Fb | Buoyant force | N, kN, mN, dyn, lbf, kgf |
Worked example
Given: ρ = 1 000 kg/m³ · V = 10 L
Fb = ρ V g
Result: Fb = 98.0665 N
Buoyant force for different values of Fluid density (water 1000, seawater 1025)
| ρ · Fluid density (water 1000, seawater 1025) | Fb · Buoyant force |
|---|---|
| 500 kg/m³ | 49.033 N |
| 750 kg/m³ | 73.55 N |
| 900 kg/m³ | 88.26 N |
| 1 000 kg/m³ | 98.066 N |
| 1 100 kg/m³ | 107.87 N |
| 1 250 kg/m³ | 122.58 N |
| 1 500 kg/m³ | 147.1 N |
| 2 000 kg/m³ | 196.13 N |
Other values as in the worked example.
Frequently asked questions
10 L fully submerged in fresh water?
About 98.1 N — it can hold up 10 kg.
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