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How To Calculate Buoyant Force Of An Object

Buoyant Force Equation:

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

kg/m³
m/s²

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1. What is Buoyant Force?

Buoyant force is the upward force exerted by a fluid on an object submerged in it, as described by Archimedes' principle. This principle states that the buoyant force is equal to the weight of the fluid displaced by the object.

2. How Does the Calculator Work?

The calculator uses the buoyant force equation:

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

Where:

Explanation: The equation calculates the upward force experienced by an object immersed in a fluid, which depends on the density of the fluid, the volume of fluid displaced, and the gravitational acceleration.

3. Importance of Buoyant Force Calculation

Details: Calculating buoyant force is essential for understanding floating and sinking behavior of objects, designing ships and submarines, and analyzing fluid mechanics in various engineering applications.

4. Using the Calculator

Tips: Enter fluid density in kg/m³, displaced volume in m³, and gravitational acceleration in m/s². Standard gravity is 9.81 m/s². 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 density, it will float. If greater, it will sink.

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

Q4: What's the difference between buoyant force and weight?
A: Weight is the downward gravitational force, while buoyant force is the upward force exerted by the fluid.

Q5: Can this calculator be used for gases?
A: Yes, the same principle applies to gases, though the densities are much smaller, resulting in smaller buoyant forces.

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