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Fluid Mechanics

Buoyant Force (Archimedes' Principle)

Buoyant force equals the weight of displaced fluid in a stationary fluid of uniform density.

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Source & review

Difficulty

Beginner

Read time

5 min

Prerequisites

Basic algebra and consistent SI units

Review statusNeeds review

Source

OpenStax, College Physics 2e, §11.7 (Paul Peter Urone and Roger Hinrichs)

Textbook reference retained from the OpenFormulaGraph dataset; adaptation credits and license are provided below.

Adapted from OpenFormulaGraph, under CC BY 4.0.

FormuLab adapted the notation, explanations, assumptions, and topic placement, and expanded the numerical check into a worked example.

Definition
Understanding the core concept

Buoyant force equals the weight of displaced fluid in a stationary fluid of uniform density. The displaced volume is the submerged volume, which can be less than the object’s total volume for a floating body.

Variables & Units
Understanding each component
SymbolMeaningUnits
Upward buoyant-force magnitude
Fluid density
Displaced fluid volume
Gravitational acceleration
Real-World Applications
Where this formula is used in practice

Floating bodies

Balance buoyancy against an object’s weight.

Submerged loads

Estimate the fluid’s upward support.

Worked Example
Step-by-step calculation with real numbers

Problem

An immersed object displaces 0.00200 m³ of water with density 1000 kg/m³. Find the buoyant force using g = 9.80 m/s².

Given

Solution

1
2
3

Final Answer

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