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Volume Of Submerged Part Of Object Given Buoyant Force Of Body Submerged In Fluid Calculator

Formula Used:

\[ \text{Volume of Submerged part of Object} = \frac{F_B}{\rho \times [g]} \]

N
kg/m³

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1. What is the Volume of Submerged Part of Object?

The volume of submerged part of an object refers to the portion of the object's volume that is below the fluid surface when the object is partially or fully immersed in a fluid. This calculation is fundamental in understanding buoyancy and fluid mechanics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Volume of Submerged part of Object} = \frac{F_B}{\rho \times [g]} \]

Where:

Explanation: This formula derives from Archimedes' principle, which states that the buoyant force on an object is equal to the weight of the fluid displaced by the object.

3. Importance of Volume Calculation

Details: Calculating the submerged volume is crucial for determining buoyancy, stability of floating objects, ship design, and understanding fluid displacement in various engineering applications.

4. Using the Calculator

Tips: Enter buoyant force in Newtons (N) and mass density in kg/m³. Both values must be positive numbers greater than zero for accurate calculation.

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 the fluid.

Q2: How is mass density different from weight density?
A: Mass density (ρ) is mass per unit volume (kg/m³), while weight density is weight per unit volume (N/m³). Weight density equals mass density multiplied by gravitational acceleration.

Q3: Does this formula work for all fluids?
A: Yes, the formula applies to any fluid, but you must use the correct mass density value for the specific fluid in which the object is submerged.

Q4: What if the object is fully submerged?
A: If the object is fully submerged, the calculated volume represents the entire volume of the object. If partially submerged, it represents only the underwater portion.

Q5: How accurate is the gravitational constant used?
A: The value 9.80665 m/s² is the standard gravitational acceleration on Earth's surface and provides accurate results for most practical applications.

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