Archimedes' Principle Calculator

Find the buoyant force on a submerged object.

Fluid density (kg/m³)

Displaced volume

Gravity (m/s²)

Buoyant force (N) 98.1

Formula: F = ρ·g·V

Step-by-step with your numbers:

1. Values used:

2. Fluid density = 1,000 kg/m³

3. Displaced volume = 0.01

4. Gravity = 9.81 m/s²

6. Buoyant force = Fluid density x Displaced volume x Gravity = 1,000 x 0.01 x 9.81 = 98.1N

Did we solve your problem today?

Archimedes' principle: the upward buoyant force equals the weight of displaced fluid.

The math behind it

F = ρ·g·V, where ρ is the fluid density and V is the displaced volume.

0.01 m³ in water → about 98.1 N of buoyancy.

Why do steel ships float?

Their shape displaces enough water to match their weight.