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Buoyancy Calculator

Buoyant force via Archimedes' principle.

Introduction

Buoyancy Calculator — Buoyant force via Archimedes' principle. Enter Fluid density (kg/m³), Displaced volume (m³), Gravity (m/s²) to get an instant, accurate result.

Formula

Buoyant force follows Archimedes' principle: F_b = ρ_fluid × V_displaced × g, where ρ_fluid is the density of the fluid, V_displaced is the volume of fluid displaced by the object, and g is gravitational acceleration.

Step-by-step

  1. Enter the Fluid density (kg/m³).
  2. Enter the Displaced volume (m³).
  3. Enter the Gravity (m/s²).
  4. Click Calculate to see your result instantly.

Real-world example

Example: With Fluid density (kg/m³) = 1000, Displaced volume (m³) = 0.002, Gravity (m/s²) = 9.81, the Buoyancy Calculator gives Buoyant Force N: 19.62.

Frequently Asked Questions

What is Archimedes' principle?
Archimedes' principle states that the buoyant force on a submerged or floating object equals the weight of the fluid it displaces. This explains why objects float or sink depending on their density relative to the fluid.
Will an object float or sink?
An object floats if the buoyant force is greater than or equal to its weight (i.e., its average density is less than the fluid's density), and sinks if the buoyant force is less than its weight.
What units does this calculator use?
Enter fluid density in kg/m³ and displaced volume in m³ to get buoyant force in newtons (N), using standard gravity of 9.81 m/s².
What inputs does the Buoyancy Calculator need?
You'll need to provide: Fluid density (kg/m³), Displaced volume (m³), Gravity (m/s²). All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Buoyancy Calculator?
The Buoyancy Calculator applies the formula exactly as calculated — Buoyant force follows Archimedes' principle: F_b = ρ_fluid × V_displaced × g, where ρ_fluid is the density of the fluid, V_displaced is the volume of fluid displaced by the object, and g is gravitational acceleration. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Buoyancy Calculator free to use?
Yes, the Buoyancy Calculator is completely free, requires no signup, and runs instantly in your browser.

About the Buoyancy Calculator

The Buoyancy Calculator uses a real, verifiable formula — Buoyant force follows Archimedes' principle: F_b = ρ_fluid × V_displaced × g, where ρ_fluid is the density of the fluid, V_displaced is the volume of fluid displaced by the object, and g is gravitational acceleration. — so results are accurate every time, not an approximation.