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Buoyancy Calculator

Buoyancy Calculator (Archimedes)

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Detailed Guide Coming Soon

We're working on a comprehensive educational guide for the Buoyancy Calculator in your language. The content below is shown in English.

What is Buoyancy Calculator?

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Buoyancy is the upward force a fluid exerts on a submerged or floating object, equal to the weight of fluid displaced (Archimedes' Principle). An object floats when buoyant force equals or exceeds its weight; it sinks when weight exceeds buoyant force.

Calkulon makes complex calculations simple — built for students and everyday problem-solvers.

Formula

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f(x)Buoyant force Fb = ρ_fluid × g × V_displaced

Variable Legend

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SymbolImeEnotaOpis
Fbρ_fluid × g × V_displaced—ρ_fluid × g × V_displaced

How to Buoyancy Calculator

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  1. 1Buoyant force Fb = ρ_fluid × g × V_displaced
  2. 2ρ_fluid = fluid density (water = 1,000 kg/m³)
  3. 3g = gravitational acceleration (9.81 m/s²)
  4. 4V_displaced = volume of fluid displaced (= object volume if fully submerged)
  5. 5Object floats if object density < fluid density

Worked Examples

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Example 1
Given:0.1m³ wooden block in water
Rezultat:Fb = 1000 × 9.81 × 0.1 = 981 N

If block weighs less than 981N, it floats

Example 2
Given:Steel ball (density 7,800 kg/m³) in water
Rezultat:Sinks — 7,800 > 1,000 (water density)

Steel is 7.8× denser than water

Real-World Applications

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Tracking personal health and fitness goals

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Guidance for healthcare conversations with your doctor

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Monitoring progress during a weight management programme

Frequently Asked Questions

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Q

What is Buoyancy?

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Buoyancy is the upward force a fluid exerts on a submerged or floating object, equal to the weight of fluid displaced (Archimedes\. Use this calculator for accurate, instant results.

Q

How accurate is the Buoyancy calculator?

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The calculator uses the standard published formula for buoyancy. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

Q

What units does the Buoyancy calculator use?

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This calculator works with kilograms, inches. You can enter values in the units shown — the calculator handles all conversions internally.

Q

What formula does the Buoyancy calculator use?

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The core formula is: Buoyant force Fb = ρ_fluid × g × V_displaced. Each step in the calculation is shown so you can verify the result manually.

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Did you know?

A steel ship floats because its hollow hull displaces much more water than the solid steel itself — the average density of the whole ship (including air inside) is less than water.

Formula-verified for precision
Reviewed October 2026
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