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Formula For Buoyant Force In Water

Buoyant Force Formula:

\[ F_b = \rho_{water} \times V \times g \]

kg/m³
m/s²

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1. What is Buoyant Force in Water?

Definition: The 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 fundamental in fluid mechanics and naval architecture.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The force equals the product of water density, displaced volume, 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 water density (default 1000 kg/m³), displaced volume in cubic meters, and gravitational acceleration (default 9.81 m/s²). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Does this work for other fluids besides water?
A: Yes, simply change the density value to match your fluid (e.g., 1027 kg/m³ for seawater).

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

Q3: Why is gravity included in the formula?
A: The buoyant force equals the weight of displaced fluid, and weight depends on gravity.

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

Q5: How does this relate to Archimedes' Principle?
A: This formula is the mathematical expression of Archimedes' Principle.

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