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

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

3. Importance of Buoyant Force Calculation

Details: Calculating buoyant force is essential for designing ships, submarines, and other marine vessels. It's also crucial in understanding why objects float or sink and is fundamental in fluid mechanics and hydrodynamics.

4. Using the Calculator

Tips: Enter fluid density in kg/m³, displaced volume in m³, and gravitational acceleration in m/s² (default is Earth's gravity: 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: How does object density affect buoyancy?
A: If an object's density is less than the fluid's density, it will float. If it's greater, it will sink.

Q3: Does shape affect buoyant force?
A: No, the buoyant force depends only on the volume of fluid displaced, not on the shape of the object.

Q4: How is this different from weight?
A: Weight is a downward force due to gravity, while buoyant force is an upward force exerted by fluids.

Q5: Can this formula be used for gases?
A: Yes, the same principle applies to gases, though density values are much lower for gases than for liquids.