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How To Calculate Buoyancy Of An Object

Buoyancy Force Formula:

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

kg/m³
m/s²

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1. What Is Buoyancy Force?

Buoyancy force is the upward force exerted by a fluid on an object immersed in it. This force opposes the weight of the object and is described by Archimedes' principle.

2. How Does The Calculator Work?

The calculator uses the buoyancy force formula:

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

Where:

Explanation: The buoyant force equals the weight of the fluid displaced by the object, according to Archimedes' principle.

3. Importance Of Buoyancy Calculation

Details: Calculating buoyancy is essential for designing ships, submarines, flotation devices, and understanding why objects float or sink in different fluids.

4. Using The Calculator

Tips: Enter fluid density in kg/m³, displaced volume in m³, and gravitational acceleration (default is 9.81 m/s²). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is Archimedes' principle?
A: Archimedes' principle states that the buoyant force on an object is equal to the weight of the fluid it displaces.

Q2: How does object density affect buoyancy?
A: Objects denser than the fluid sink, while objects less dense than the fluid float. Neutral buoyancy occurs when densities are equal.

Q3: Does shape affect buoyancy?
A: The shape affects how much fluid is displaced, but the buoyant force depends only on the weight of the displaced fluid, not the object's shape.

Q4: What are typical fluid densities?
A: Fresh water: 1000 kg/m³, salt water: ~1025 kg/m³, air: ~1.2 kg/m³ (at sea level).

Q5: How is this used in real-world applications?
A: Ship design, submarine operations, hot air balloons, hydrometers, and many engineering applications involving fluid mechanics.

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