1. What is the Force of Buoyancy Formula?

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

Purpose: It helps engineers, physicists, and students determine the upward force exerted by a fluid on an immersed object.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( F_b \) — Buoyancy force (Newtons, N)
• \( \rho \) — Fluid density (kilograms per cubic meter, kg/m³)
• \( V \) — Volume of displaced fluid (cubic meters, m³)
• \( g \) — Acceleration due to gravity (meters per second squared, m/s²)

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

3. Importance of Buoyancy Calculation

Details: Buoyancy calculations are essential for ship design, submarine operations, hot air balloons, and understanding floating objects.

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: Fresh water is about 1000 kg/m³, seawater about 1025 kg/m³ at standard conditions.

Q3: How is displaced volume determined?
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 formula calculates the weight of displaced fluid, which is mass × gravity.

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