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Buoyancy Force Formula Derivation

Buoyancy Force Formula:

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

kg/m³
m/s²

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1. What is Buoyancy Force?

Definition: Buoyancy is the upward force exerted by a fluid that opposes the weight of an immersed object.

Principle: According to Archimedes' Principle, the buoyant force on a submerged object is equal to the weight of the fluid it displaces.

2. How Does the Buoyancy Formula Work?

The calculator uses the formula:

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

Where:

Explanation: The formula calculates the upward force based on the mass of displaced fluid (ρ×V) multiplied by gravitational acceleration.

3. Importance of Buoyancy Calculation

Applications: Essential for ship design, submarine operations, hot air balloons, hydrometers, and understanding floating/sinking objects.

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 difference between buoyancy and flotation?
A: Buoyancy is the upward force, while flotation occurs when buoyancy equals the object's weight.

Q2: How does saltwater affect buoyancy?
A: Saltwater is denser (≈1025 kg/m³) than freshwater, creating greater buoyant force for the same volume.

Q3: Does shape affect buoyancy force?
A: Only the displaced volume matters - shape affects whether an object floats but not the magnitude of Fb.

Q4: What's a typical density for freshwater?
A: Pure water at 4°C is 1000 kg/m³. Warmer water is slightly less dense.

Q5: How is this used in concrete applications?
A: Understanding buoyancy helps design floating concrete structures and calculate formwork uplift forces.

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