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Boat Buoyancy Calculator

Buoyancy Force Equation:

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

kg/m³
m/s²

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1. What is Buoyancy Force?

The buoyancy force is the upward force exerted by a fluid on any immersed object. According to Archimedes' principle, it equals the weight of the fluid displaced by the object.

2. How Does the Calculator Work?

The calculator uses the buoyancy force equation:

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

Where:

Explanation: The equation shows that buoyancy depends on the density of the fluid, the volume of fluid displaced, and the local gravitational acceleration.

3. Importance of Buoyancy Calculation

Details: Calculating buoyancy is essential for boat design, determining cargo capacity, and ensuring vessel stability. It's also crucial for understanding floating objects and submarine operations.

4. Using the Calculator

Tips: Enter fluid density in kg/m³ (1000 for fresh water, 1025 for sea water), displaced volume in cubic meters, and gravitational acceleration (9.81 m/s² on Earth). All values must be positive.

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 exceeds the object's weight.

Q2: How does salt water affect buoyancy?
A: Salt water is denser (∼1025 kg/m³ vs 1000 kg/m³), creating greater buoyancy for the same displaced volume.

Q3: Why is displaced volume important?
A: It determines how much fluid is "pushed aside" by the object, directly affecting the buoyant force.

Q4: Can this calculator be used for airships?
A: Yes, using air density (∼1.225 kg/m³ at sea level) instead of water density.

Q5: What's the relationship between buoyancy and stability?
A: Stability depends on both buoyancy magnitude and the relative positions of the center of buoyancy and center of gravity.

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