Submerged Volume Given Weight Of Fluid Body Calculator

Formula Used:

\[ V_S = \frac{W}{\rho_{Fluid} \times [g]} \]

Submerged Volume (V_S):

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1. What is Submerged Volume?

Submerged Volume is defined as the volume of that portion of body which is submerged in the liquid. It represents the volume of fluid displaced by a submerged object and is fundamental to Archimedes' principle of buoyancy.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_S = \frac{W}{\rho_{Fluid} \times [g]} \]

Where:

\( V_S \) — Submerged Volume (m³)
\( W \) — Weight of Fluid Body (N)
\( \rho_{Fluid} \) — Density of Fluid (kg/m³)
\( [g] \) — Gravitational acceleration (9.80665 m/s²)

Explanation: The formula calculates the volume of fluid that would have a weight equal to the buoyant force acting on the submerged object, based on Archimedes' principle.

3. Importance of Submerged Volume Calculation

Details: Calculating submerged volume is crucial for determining buoyancy, stability of floating objects, ship design, and understanding fluid mechanics principles. It helps in predicting whether an object will float, sink, or remain neutrally buoyant.

4. Using the Calculator

Tips: Enter the weight of fluid body in Newtons and the density of the fluid in kg/m³. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between submerged volume and buoyancy?
A: The buoyant force equals the weight of the fluid displaced, which is directly proportional to the submerged volume of the object.

Q2: How does fluid density affect submerged volume?
A: For a given weight, higher fluid density results in smaller submerged volume, as denser fluids provide more buoyancy per unit volume.

Q3: What is the significance of gravitational acceleration in this calculation?
A: Gravitational acceleration converts mass to weight, making it essential for relating the mass of displaced fluid to the buoyant force.

Q4: Can this formula be used for partially submerged objects?
A: Yes, the formula calculates the actual submerged volume regardless of whether the object is fully or partially submerged.

Q5: How accurate is this calculation for real-world applications?
A: The calculation provides theoretical values based on ideal conditions. Real-world factors like fluid viscosity, object shape, and surface tension may cause slight variations.