1. What is Buoyancy?

Buoyancy is the upward force exerted by a fluid that opposes the weight of an immersed object. 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 buoyancy equation:

Where:

• \( \rho \) — Density of the fluid (kg/m³)
• \( g \) — Acceleration due to gravity (9.8 m/s² on Earth)
• \( V \) — Volume of displaced fluid (m³)

Explanation: The equation calculates the upward force experienced by an object submerged in a fluid based on the fluid's density, gravitational acceleration, and the volume displaced.

3. Importance of Buoyancy Calculation

Details: Buoyancy calculations are essential for ship design, submarine operations, hot air balloons, and understanding why objects float or sink. It's fundamental in fluid mechanics and naval architecture.

4. Using the Calculator

Tips: Enter fluid density in kg/m³ (1000 for water), gravity in m/s² (9.8 for Earth), and volume in m³. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between buoyancy and buoyant force?
A: They are essentially the same - the upward force exerted by a fluid on an immersed object.

Q2: Why does gravity affect buoyancy?
A: Buoyancy depends on the weight of displaced fluid, and weight depends on gravity (weight = mass × gravity).

Q3: What's the buoyancy of water?
A: For water (ρ=1000 kg/m³), the buoyant force is 1000 × 9.8 × V = 9800V N.

Q4: How does object density affect buoyancy?
A: Object density determines if it floats (ρ_object < ρ_fluid) or sinks (ρ_object > ρ_fluid).

Q5: Can this calculator be used for gases?
A: Yes, use the gas density (e.g., 1.225 kg/m³ for air at sea level) and appropriate volume.