Buoyancy Calculation Formula

Buoyancy Formula:

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

Buoyant Force (F_b):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Buoyancy Calculation Formula?

The buoyancy calculation formula, based on Archimedes' principle, calculates the upward force (buoyant force) exerted on an object immersed in a fluid. This force equals the weight of the fluid displaced by the object.

2. How Does the Calculator Work?

The calculator uses the buoyancy formula:

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

Where:

\( F_b \) — Buoyant force (N)
\( \rho \) — Fluid density (kg/m³)
\( V \) — Volume of fluid displaced (m³)
\( g \) — Acceleration due to gravity (m/s²)

Explanation: The formula calculates the upward force experienced by an object submerged in a fluid, which is equal to the weight of the fluid displaced by the object.

3. Importance of Buoyant Force Calculation

Details: Calculating buoyant force is essential in various fields including naval architecture, civil engineering, and physics. It helps determine whether objects will float or sink and is crucial for designing ships, submarines, and other floating structures.

4. Using the Calculator

Tips: Enter fluid density in kg/m³, displaced volume in m³, and gravitational acceleration in m/s². Standard gravity is approximately 9.81 m/s² on Earth's surface. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is Archimedes' principle?
A: Archimedes' principle states that the upward buoyant force exerted on a body immersed in a fluid is equal to the weight of the fluid the body displaces.

Q2: How does object density affect buoyancy?
A: If an object's density is less than the fluid density, it will float. If it's greater, it will sink. If equal, it will remain suspended.

Q3: Does shape affect buoyant force?
A: No, the buoyant force depends only on the volume of fluid displaced, not on the shape of the object.

Q4: How is this applied in real-world scenarios?
A: This principle is used in ship design, submarine operations, hot air balloons, hydrometers, and many engineering applications involving fluids.

Q5: What if the object is partially submerged?
A: For partially submerged objects, use only the volume of the part that is below the fluid surface in your calculation.