1. What is the Force of Buoyancy?

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

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

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

3. Importance of Buoyancy Calculation

Details: Understanding buoyancy is essential for naval architecture, designing flotation devices, and explaining natural phenomena like iceberg floating.

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'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: Buoyant force equals the weight of displaced fluid, and weight depends on gravity.

Q4: Does this work for gases as well as liquids?
A: Yes, the principle applies to all fluids, including gases (like helium balloons in air).

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