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Buoyancy Calculator

Buoyancy Equation:

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

kg/m³
m/s²

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1. What is Buoyancy Force?

Buoyancy force is the upward force exerted by a fluid that opposes the weight of an object immersed in it. This fundamental principle explains why objects float or sink in fluids and is described by Archimedes' principle.

2. How Does the Calculator Work?

The calculator uses the buoyancy equation:

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

Where:

Explanation: The buoyant force equals the weight of the fluid displaced by the object, which depends on the fluid's density, the volume displaced, and gravitational acceleration.

3. Importance of Buoyancy Calculation

Details: Buoyancy calculations are essential in naval architecture, underwater engineering, fluid mechanics, and understanding natural phenomena like floating icebergs and hot air balloons.

4. Using the Calculator

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

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: If an object's density is less than the fluid's density, it will float. If greater, it will sink.

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

Q4: How is this used in real-world applications?
A: Used in ship design, submarine operations, swimming, hot air ballooning, and hydraulic engineering.

Q5: What if the object is partially submerged?
A: For partially submerged objects, use the volume of the submerged portion to calculate displaced fluid volume.

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