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Buoyant Force Formula Submerged Object

Buoyant Force Formula:

\[ F_b = \rho \times V_{sub} \times g \]

kg/m³
m/s²

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1. What is Buoyant Force?

Definition: The upward force exerted by a fluid on any 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 naval architecture.

2. How Does the Calculator Work?

The calculator uses the buoyant force formula:

\[ F_b = \rho \times V_{sub} \times g \]

Where:

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

3. Importance of Buoyant Force Calculation

Details: Understanding buoyant force is crucial for designing ships, submarines, flotation devices, and understanding natural phenomena like icebergs.

4. Using the Calculator

Tips: Enter the fluid density (1000 kg/m³ for water), submerged volume of your object, and gravity (default 9.81 m/s²). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the density of common fluids?
A: Fresh water ≈ 1000 kg/m³, seawater ≈ 1025 kg/m³, air ≈ 1.225 kg/m³ at sea level.

Q2: How do I find submerged volume?
A: For simple shapes, use geometric formulas. For complex objects, measure water displacement.

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

Q4: What if the object is floating?
A: Use the submerged portion's volume, not the total object volume.

Q5: How does buoyancy relate to weight?
A: If buoyant force equals object's weight, it floats; if less, it sinks.

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