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Equation For Buoyant Force

Buoyant Force Formula:

\[ F_b = \rho V g \]

kg/m³
m/s²

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1. What is Buoyant Force?

Definition: The upward force exerted by a fluid on an immersed object, equal to the weight of the fluid displaced by the object.

Purpose: This principle explains why objects float or sink and is fundamental in fluid mechanics and ship design.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ F_b = \rho V g \]

Where:

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

3. Importance of Buoyant Force Calculation

Details: Understanding buoyancy is crucial for designing ships, submarines, flotation devices, and understanding natural phenomena.

4. Using the Calculator

Tips: Enter the fluid density (1000 kg/m³ for water), displaced volume, and gravity (9.81 m/s² on Earth). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the density of water?
A: Fresh water is about 1000 kg/m³, seawater about 1025 kg/m³ at surface level.

Q2: How do I find displaced volume?
A: For fully submerged objects, it's the object's volume. For floating objects, it's the volume below the fluid surface.

Q3: Does shape affect buoyant force?
A: No, only the displaced volume matters (Archimedes' Principle).

Q4: What if my object is partially submerged?
A: Use only the submerged volume in calculations.

Q5: How does buoyancy relate to floating?
A: An object floats when buoyant force equals its weight (neutral buoyancy).

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