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Formula 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?

Definition: Buoyant force is 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 crucial in designing ships, submarines, and other floating structures.

2. How Does the Calculator Work?

The calculator uses the 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 gravitational acceleration.

3. Importance of Buoyant Force Calculation

Details: Accurate buoyancy calculations are essential for naval architecture, designing flotation devices, and understanding fluid mechanics.

4. Using the Calculator

Tips: Enter the fluid density (e.g., 1000 kg/m³ for water), the volume displaced by the object, and gravitational acceleration (default 9.81 m/s²).

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 the 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: Why is gravity included in the formula?
A: The buoyant force depends on the weight of displaced fluid, which is mass × gravity.

Q4: Does shape affect buoyant force?
A: Only indirectly through the displaced volume. The force depends only on ρ, V, and g.

Q5: What if my object is only partially submerged?
A: Use only the submerged volume in your calculation.

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