Buoyant Force Calculator Physics

Buoyant Force Equation:

\[ F_b = \rho_f \times V \times g \]

Buoyant Force (F_b):

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1. What is Buoyant Force?

The buoyant force is the upward force exerted by a fluid on any immersed object. 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 equation:

\[ F_b = \rho_f \times V \times g \]

Where:

\( F_b \) — Buoyant force (N)
\( \rho_f \) — Fluid density (kg/m³)
\( V \) — Volume of displaced fluid (m³)
\( g \) — Acceleration due to gravity (9.81 m/s² on Earth)

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

3. Importance of Buoyant Force Calculation

Details: Calculating buoyant force is essential for designing ships, submarines, 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), displaced volume in m³, and gravitational acceleration (9.81 m/s² on Earth). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between buoyant force and weight?
A: Weight acts downward due to gravity, while buoyant force acts upward due to fluid pressure differences. An object floats when buoyant force equals its weight.

Q2: Does buoyant force depend on the object's material?
A: No, it only depends on the fluid properties and displaced volume. However, whether the object floats depends on its density compared to the fluid.

Q3: How does saltwater affect buoyant force?
A: Saltwater is denser (≈1025 kg/m³) than freshwater, creating greater buoyant force for the same displaced volume.

Q4: Can buoyant force be greater than weight?
A: Yes, this causes objects to accelerate upward (like a helium balloon in air) until equilibrium is reached.

Q5: How is this applied in real-world engineering?
A: Ship designers calculate buoyant force to ensure vessels displace enough water to support their weight while maintaining stability.