1. What is Buoyant Force Formula?

Definition: This calculator computes the buoyant force acting on an object submerged in a fluid according to Archimedes' principle.

Purpose: It helps determine the upward force exerted by a fluid that opposes the weight of an immersed object.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( F_b \) — Buoyant force (Newtons)
• \( \rho \) — Fluid density (kg/m³)
• \( V \) — Volume of displaced fluid (m³)
• \( g \) — Acceleration due to gravity (9.81 m/s²)

Explanation: The buoyant force equals the weight of the fluid displaced by the object.

3. Importance of Buoyant Force Calculation

Details: Understanding buoyant force is crucial for designing ships, submarines, flotation devices, and understanding why objects float or sink.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is Archimedes' Principle?
A: It states that the buoyant force equals the weight of the fluid displaced by the object.

Q2: What's the density of water?
A: Pure water at 4°C has a density of 1000 kg/m³. Seawater is about 1025 kg/m³.

Q3: 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.

Q4: Why is gravity included?
A: The buoyant force depends on the weight of displaced fluid, and weight depends on gravity.

Q5: What if my object is only partially submerged?
A: Use only the volume that's actually submerged in the fluid.