Buoyancy Force Calculator

Buoyancy Calculator

Determine the buoyant force acting on a submerged or partially submerged object.

Input Parameters

Density of Fluid ($\rho$):

Unit: $\text{kg/m}^3$

Volume of Displaced Fluid ($V$):

Unit: $\text{m}^3$

Gravitational Acceleration ($g$):

Unit: $\text{m/s}^2$. (Default Earth value: $9.81$)

Result

Enter values and click “Calculate” to see the result.

Understanding Buoyant Force

The Purpose of This Calculator

This tool is designed to quickly and accurately calculate the buoyant force ($F_b$) exerted by a fluid on an object. The buoyant force is the upward force that opposes the weight of an immersed object. It is a fundamental concept in fluid mechanics, crucial for applications ranging from naval architecture (designing ships and submarines) to meteorology (understanding air parcel movement) and even basic chemistry experiments.

How to Use the Calculator

Density ($\rho$): Enter the density of the fluid in $\text{kg/m}^3$. For example, the density of pure water is approximately $1000\ \text{kg/m}^3$.
Volume ($V$): Input the volume of the fluid that is displaced by the object, in $\text{m}^3$. Note: For a fully submerged object, this is the object’s total volume. For a floating object, this is only the volume of the object that is below the fluid surface.
Gravity ($g$): Enter the local gravitational acceleration in $\text{m/s}^2$. Use $9.81$ for calculations on Earth.
Click the “Calculate Buoyant Force ($F_b$)” button. The result will appear in Newtons ($\text{N}$).

The Buoyancy Formula (Archimedes’ Principle)

Formula:

$$F_b = \rho \cdot V \cdot g$$

Where:

$F_b$ = buoyant force (Newtons, $\text{N}$)
$\rho$ = density of fluid (kilograms per cubic meter, $\text{kg/m}^3$)
$\text{V}$ = volume of displaced fluid (cubic meters, $\text{m}^3$)
$g$ = gravitational acceleration (meters per second squared, $\text{m/s}^2$)