1. What is Buoyant Force?

Buoyant force is the upward force exerted by a fluid on an object immersed in it. According to Archimedes' principle, the buoyant force is equal to the weight of the fluid displaced by the object.

2. How Does the Calculator Work?

The calculator uses the buoyant force formula:

Where:

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

Explanation: The formula calculates the upward force experienced by an object submerged in a fluid, which depends on the density of the fluid, the volume displaced, and gravitational acceleration.

3. Importance of Buoyant Force Calculation

Details: Understanding buoyant force is essential for designing ships, submarines, and other floating structures. It also explains why objects float or sink and is fundamental to fluid mechanics.

4. Using the Calculator

Tips: Enter fluid density in kg/m³, volume in m³, and gravity in m/s² (default is 9.81 m/s²). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is Archimedes' principle?
A: Archimedes' principle states that the buoyant force on an object is equal to the weight of the fluid it displaces.

Q2: Why do objects float or sink?
A: Objects float when the buoyant force is greater than or equal to their weight, and sink when the buoyant force is less than their weight.

Q3: What is the density of water?
A: The density of pure water is approximately 1000 kg/m³ at 4°C.

Q4: How does shape affect buoyant force?
A: The shape affects the volume of fluid displaced, which directly impacts the buoyant force according to the formula.

Q5: Is buoyant force the same in all fluids?
A: No, buoyant force depends on the density of the fluid. Higher density fluids exert greater buoyant force.