Physics
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Buoyant Force Calculator.
Calculate Archimedes buoyant force from displaced fluid volume.
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FAQs
What does the buoyant force calculator assume?
Calculate Archimedes buoyant force from displaced fluid volume. The result is an educational calculation using the stated idealized model; verify engineering or experimental decisions against applicable standards.
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Cite this calculator
Canonical URL: https://mathify.one/en/physics/buoyant-force
Cite as: Mathify. (n.d.). Buoyant Force Calculator. https://mathify.one/en/physics/buoyant-force
Use Cases
Check if an object floats or sinks
Compare the buoyant force to the object's weight. If buoyant force is greater, it floats; if less, it sinks. Useful for designing boats or understanding why objects behave in water.
Example: A 0.5 m³ object in water (density 1000 kg/m³) with g=9.81 m/s² has a buoyant force of 4905 N.
Design submerged structures
Engineers can calculate the upward force on submerged parts of structures like dams, ships, or underwater pipelines to ensure stability and proper anchoring.
Example: Calculate the buoyant force on a submerged concrete block to determine the required anchor weight.
Frequently Asked Questions
- What is the buoyant force?
- The buoyant force is the upward force exerted by a fluid on an object immersed in it. It equals the weight of the fluid displaced by the object, as described by Archimedes' principle. This calculator computes it using the formula F = ρ × V × g.
- How do I use this calculator?
- Enter the fluid density (kg/m³), the displaced volume (m³), and the gravitational acceleration (m/s²). The calculator will multiply these values to give the buoyant force in newtons (N).
- What units should I use?
- Use SI units: fluid density in kilograms per cubic meter (kg/m³), displaced volume in cubic meters (m³), and gravity in meters per second squared (m/s²). The result will be in newtons (N).
Tips & Common Mistakes
Tips
- Use the standard gravity value 9.81 m/s² for Earth's surface unless you are working in a different environment.
- Ensure the displaced volume is the volume of fluid actually pushed aside, not the total volume of the object if it is not fully submerged.
- For gases, use the density of the gas (e.g., air density is about 1.225 kg/m³ at sea level) to calculate buoyancy in air.
- Double-check your units: density must be in kg/m³, volume in m³, and gravity in m/s² to get force in newtons.
Common Mistakes to Avoid
- Using the object's total volume instead of the displaced volume when the object is only partially submerged.
- Forgetting to convert units, such as using g/cm³ for density or liters for volume, which leads to incorrect results.
- Using the density of the object instead of the fluid density. The buoyant force depends on the fluid, not the object.
Last updated: August 13, 2026