1. What is Buoyant Force Formula With Density?

Definition: This calculator computes the buoyant force acting on an object submerged in a fluid using the fluid's density, displaced volume, and gravitational acceleration.

Purpose: It helps engineers, physicists, and students understand and calculate the upward force exerted by fluids on immersed objects.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( F_b \) — Buoyant force (Newtons, N)
• \( \rho \) — Fluid density (kilograms per cubic meter, kg/m³)
• \( V \) — Displaced volume (cubic meters, m³)
• \( g \) — Gravitational acceleration (meters per second squared, m/s²)

Explanation: The buoyant force equals the weight of the fluid displaced by the object, calculated as the product of fluid density, displaced volume, and gravity.

3. Importance of Buoyant Force Calculation

Details: Understanding buoyant force is crucial for designing ships, submarines, flotation devices, and understanding fluid mechanics principles.

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 on Earth). 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 displaced fluid, which this formula calculates.

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 does object density affect buoyancy?
A: If object density < fluid density, it floats; if greater, it sinks; if equal, it remains suspended.

Q4: Can I use this for gases?
A: Yes, but gas densities are much lower (e.g., air is ~1.225 kg/m³ at sea level).

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