Buoyancy Calculator

Formula

The formula to calculate the Buoyant Force (B) is:

\[ B = \rho \times V \times g \]

Where:

\( B \) is the buoyant force
\( \rho \) is the density of the fluid
\( V \) is the volume of the displaced fluid
\( g \) is the acceleration due to gravity

Definitions

Buoyancy: The force acting on an object in a fluid that prevents it from moving through the liquid or sinking. It is directly proportional to the density of the fluid and the volume of displaced fluid.
Density of Fluid (ρ): The mass per unit volume of the fluid.
Volume of Displaced Fluid (V): The volume of the fluid displaced by the object.
Acceleration due to Gravity (g): The acceleration experienced by an object due to the gravitational pull of the Earth, typically \( 9.81 \, \text{m/s}^2 \).

Example

Let's say the density of the fluid is 1000 kg/m³, the volume of displaced fluid is 0.5 m³, and the acceleration due to gravity is 9.81 m/s². Using the formula:

\[ B = 1000 \times 0.5 \times 9.81 \]

We get:

\[ B = 4905 \]

So, the buoyant force is 4905 N.