1. What is Buoyant Force on Spherical Ball?

The buoyant force on a spherical ball in water is the upward force exerted by the fluid upon the ball when it is submerged. This force is equal to the weight of the fluid displaced by the ball, according to Archimedes' principle.

2. How Does the Calculator Work?

The calculator uses the buoyant force formula:

Where:

• \( F_B \) — Buoyant force (N)
• \( \rho_{water} \) — Water density (kg/m³)
• \( g \) — Acceleration due to gravity (m/s²)
• \( V_b \) — Volume of spherical ball (m³)

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

3. Importance of Buoyant Force Calculation

Details: Calculating buoyant force is essential for understanding floating and sinking behavior of objects, designing ships and submarines, and analyzing fluid mechanics problems.

4. Using the Calculator

Tips: Enter water density in kg/m³ (1000 for pure water), gravitational acceleration in m/s² (9.8 for Earth), and ball volume in m³. 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: Does the shape of the object affect buoyant force?
A: For fully submerged objects, the buoyant force depends only on the volume of the object, not its shape.

Q3: What happens if buoyant force equals weight?
A: When buoyant force equals the object's weight, the object will float neutrally at whatever depth it's placed.

Q4: How does saltwater affect buoyant force?
A: Saltwater has higher density than freshwater, so objects experience greater buoyant force in saltwater.

Q5: Can this formula be used for other fluids?
A: Yes, the formula works for any fluid by using the appropriate fluid density value.