Archimedes' Principle Calculator
💨 Gas Laws & Fluids. Use the Archimedes' principle formula to find buoyant force, fluid density ρ, displaced volume: pick the value you want, type the others, and the answer updates as you go.
Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.
What each letter means
| Quantity | Unit |
|---|---|
| Buoyant force | N |
| Fluid density ρ | kg/m³ |
| Displaced volume | m³ |
Worked example
Find the buoyant force when Fluid density ρ = 1000 kg/m³, Displaced volume = 0.001 m³.
Using Fb = ρ V g: Buoyant force = 9.81 N.
Frequently asked questions
What is the formula for Archimedes' principle?
Fb = ρ V g.
What do the letters stand for, and what units are used?
Buoyant force in N, Fluid density ρ in kg/m³, Displaced volume in m³.
How do you calculate buoyant force?
Put the values into Fb = ρ V g. For example, with Fluid density ρ = 1000 kg/m³, Displaced volume = 0.001 m³, buoyant force = 9.81 N.
Can I solve for a different value?
Yes. In the calculator above, pick the circle next to any value (buoyant force, fluid density ρ, displaced volume) and fill in the others: it rearranges the formula for you.
