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Science Calculators

Buoyancy Force Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
kg/m³
m/s²
Verified formula Private

Buoyant force

98.1000

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Buoyancy Force Calculator

The Buoyancy Force Calculator works out your buoyant force in an instant. Enter fluid density, gravity and displaced volume and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the fluid density.
  2. Enter the gravity.
  3. Enter the displaced volume.
  4. Read off your buoyant force — the calculator updates automatically, with no button to press.

Formula

The Buoyancy Force Calculator uses the formula:

Buoyant force = Fluid density × Gravity × Displaced volume

Worked example

For example, with fluid density of 1,000 kg/m³, gravity of 9.81 m/s² and displaced volume of 0.01 m³, the buoyant force is 98.1000.

Inputs used
Fluid density 1,000 kg/m³
Gravity 9.81 m/s²
Displaced volume 0.01 m³
Results
Buoyant force 98.1000

Results are estimates for educational use, not professional advice.

Key terms explained

Density
Mass per unit volume, calculated as mass ÷ volume.
Force
A push or pull on an object, equal to mass × acceleration (Newton's second law).
Volume
The amount of three-dimensional space an object occupies, measured in cubic units.

Frequently asked questions

Multiply fluid density, gravity and displaced volume: F = ρgV. An object displacing 0.01 m³ of water feels about 98 N upward.

It states the buoyant force equals the weight of the fluid an object displaces.

They float when the buoyant force equals their weight, which happens if they are less dense than the fluid overall.

Yes. Denser fluids like seawater give more buoyancy, so objects float higher than in fresh water.

Enter the fluid density. Enter the gravity. Enter the displaced volume. Read off your buoyant force — the calculator updates automatically, with no button to press.

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