1. What is the Volume of Body Given Buoyant Force Formula?

The formula calculates the volume of a body submerged in a fluid based on the buoyant force acting on it. It is derived from Archimedes' principle, which states that the buoyant force on an object is equal to the weight of the fluid displaced by the object.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V \) — Volume of body (m³)
• \( F_{buoyant} \) — Buoyant force (Newton)
• \( \rho_{Fluid} \) — Density of fluid (kg/m³)
• \( [g] \) — Gravitational acceleration (9.80665 m/s²)

Explanation: The formula calculates the volume by dividing the buoyant force by the product of fluid density and gravitational acceleration.

3. Importance of Volume Calculation

Details: Calculating the volume of a submerged body is essential in fluid mechanics, naval architecture, and various engineering applications where buoyancy plays a crucial role.

4. Using the Calculator

Tips: Enter buoyant force in Newtons and fluid density in kg/m³. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is buoyant force?
A: Buoyant force is the upward force exerted by a fluid that opposes the weight of an object immersed in it.

Q2: Why is gravitational acceleration constant used?
A: The gravitational acceleration constant is used to convert mass to weight, as buoyant force is related to the weight of the displaced fluid.

Q3: Can this formula be used for any fluid?
A: Yes, as long as you know the density of the fluid in which the body is submerged.

Q4: What are the units of measurement?
A: Buoyant force should be in Newtons, density in kg/m³, and the resulting volume will be in cubic meters (m³).

Q5: Is this formula applicable to partially submerged objects?
A: This formula calculates the total volume of the object. For partially submerged objects, additional calculations are needed to determine the submerged volume.