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How To Calculate Buoyant Force

Buoyant Force Formula:

\[ F_b = \rho V g \]

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 immersed in it. This force is equal to the weight of the fluid displaced by the object, as described by Archimedes' principle.

2. How Does The Calculator Work?

The calculator uses the buoyant force formula:

\[ F_b = \rho V g \]

Where:

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

3. Importance Of Buoyant Force Calculation

Details: Calculating buoyant force is essential for designing ships, submarines, and other floating structures. It's also fundamental in 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 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's density, it will float. If greater, it will sink.

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

Q4: What is the relationship between buoyant force and weight?
A: For a floating object, buoyant force equals the object's weight. For a submerged object, it may be less.

Q5: How does saltwater differ from freshwater in buoyancy?
A: Saltwater has higher density than freshwater, resulting in greater buoyant force for the same displaced volume.

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