Weight Of Submerged Portion Of Floating Body Calculator

Weight Of Submerged Portion Of Floating Body Formula:

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

Weight Of Submerged Portion (W):

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1. What Is The Weight Of Submerged Portion Of Floating Body?

The Weight Of Submerged Portion Of Floating Body represents the weight of the fluid displaced by the submerged part of a floating object. According to Archimedes' principle, this equals the buoyant force acting upward on the object.

2. How Does The Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the weight of the fluid displaced by the submerged portion of a floating body, which according to Archimedes' principle equals the buoyant force acting on the object.

3. Importance Of Weight Calculation

Details: Calculating the weight of the submerged portion is crucial for understanding buoyancy principles, designing floating structures, and analyzing stability of ships and other floating objects.

4. Using The Calculator

Tips: Enter fluid density in kg/m³ and submerged volume in m³. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is Archimedes' principle?
A: Archimedes' principle states that the buoyant force on an object submerged in fluid is equal to the weight of the fluid displaced by the object.

Q2: Why is gravitational acceleration constant used?
A: Weight is a force (mass × acceleration), so gravitational acceleration is needed to convert mass to weight in the calculation.

Q3: What units should be used for input values?
A: Density should be in kg/m³ and volume in m³ to get weight in Newtons (N) as output.

Q4: How does this relate to floating objects?
A: For a floating object, the weight of the submerged portion equals the total weight of the object, maintaining equilibrium.

Q5: Can this calculator be used for partially submerged objects?
A: Yes, this calculator specifically calculates the weight of the submerged portion for partially or fully submerged floating objects.