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Archimedes Buoyant Force Calculator — result sheet
Calculate buoyant force and equivalent supported mass from fluid density and displaced volume.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Buoyant force Fᵦ = fluid density×gravity×displaced volume; equivalent mass = Fᵦ/gravity.
The displaced-fluid relation is shown directly and does not decide whether an object actually floats, sinks, or remains stable.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Fluid density — kg/m³; minimum 1.0E-6; maximum 1000000
- Displaced volume — m³; minimum 0; maximum 1000000
- Gravitational acceleration — m/s²; minimum 1.0E-6; maximum 1000
Worked example
| Input | Value |
|---|---|
| Fluid density | 1000 |
| Displaced volume | 0.002 |
| Gravitational acceleration | 9.80665 |
Buoyant force = 19.613 N; equivalent mass = 2 kg.
Assumptions and limits
- Density, gravity, and displaced volume are nonnegative with positive density and gravity.
- The displaced volume is fully defined and the fluid is uniform.
- Object mass, shape, stability, viscosity, waves, and fluid motion are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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