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. For boats, this force counteracts the weight of the boat, allowing it to float.

2. How Does the Calculator Work?

The calculator uses the buoyant force formula:

Where:

• \( F_b \) — Buoyant force (Newtons)
• \( \rho \) — Density of water (kg/m³)
• \( V \) — Displaced volume of water (m³)
• \( g \) — Acceleration due to gravity (9.81 m/s²)

Explanation: The buoyant force equals the weight of the fluid displaced by the object, which is why it depends on the density of water, the volume displaced, and gravity.

3. Importance of Buoyant Force Calculation

Details: Calculating buoyant force is essential for boat design, ensuring stability and safety. It helps determine how much weight a boat can carry without sinking.

4. Using the Calculator

Tips: Enter the density of water (typically 1000 kg/m³ for fresh water), the volume of water displaced by the boat, and gravity (default is 9.81 m/s²). All values must be positive.

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 do I find the displaced volume for a boat?
A: The displaced volume can be calculated from the boat's dimensions or measured by the amount of water it pushes aside when floating.

Q3: Does water density affect buoyant force?
A: Yes, salt water (density ~1025 kg/m³) provides more buoyancy than fresh water (density ~1000 kg/m³) due to higher density.

Q4: Why is gravity important in this calculation?
A: Gravity affects the weight of the displaced water, which directly determines the buoyant force.

Q5: Can this formula be used for any floating object?
A: Yes, the formula applies to any object partially or fully submerged in a fluid, including boats, ships, and other floating structures.