Practical

Buoyancy Calculator

Buoyancy Calculator (Archimedes)

Fluid

Fluid density (kg/m³)

Submerged volume (m³)

What is Buoyancy Calculator?

▾

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

▾

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

Variable Legend

▾

Symbol	Name	Unit	Description
Fb	ρ_fluid × g × V_displaced	—	ρ_fluid × g × V_displaced

How to Buoyancy Calculator

▾

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

Worked Examples

▾

Example 1

Given:0.1m³ wooden block in water

Result: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

Result:Sinks — 7,800 > 1,000 (water density)

Steel is 7.8× denser than water

Real-World Applications

▾

🏗️

Tracking personal health and fitness goals

🔬

Guidance for healthcare conversations with your doctor

📊

Monitoring progress during a weight management programme

Frequently Asked Questions

▾

What is Buoyancy?

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.

How accurate is the Buoyancy calculator?

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.

What units does the Buoyancy calculator use?

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

What formula does the Buoyancy calculator use?

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.

⭐

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.

References

Formula-verified for precision

Reviewed October 2026

Our methodology

Ratings & comments

…

Get Weekly Math Tips

Join 12,000+ subscribers who get calculator tips every week.

🔒

100% Free

No sign-up ever

✓

Accurate

Verified formulas

⚡

Instant

Results as you type

📱

Mobile Ready

All devices

Buoyancy Calculator