How To Calculate Volume Of Water Displaced

Archimedes Principle Volume Formula:

\[ V = \frac{Weight}{Density \times g} \]

Volume Displaced (V):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What Is Volume Of Water Displaced?

The volume of water displaced refers to the amount of fluid that is pushed aside when an object is submerged, based on Archimedes' principle. This principle states that the buoyant force on an object equals the weight of the fluid displaced by the object.

2. How Does The Calculator Work?

The calculator uses the Archimedes principle formula:

\[ V = \frac{Weight}{Density \times g} \]

Where:

\( V \) — Volume displaced (m³)
\( Weight \) — Buoyant force or weight of object (N)
\( Density \) — Density of the fluid (kg/m³)
\( g \) — Acceleration due to gravity (m/s²)

Explanation: This formula calculates the volume of fluid that must be displaced to generate a buoyant force equal to the weight of the submerged object.

3. Importance Of Volume Displacement Calculation

Details: Calculating displaced volume is crucial for ship design, buoyancy analysis, fluid mechanics, and understanding floating objects. It helps determine if an object will float, sink, or remain neutrally buoyant.

4. Using The Calculator

Tips: Enter weight in newtons, density in kg/m³, and gravity in m/s². For water, density is typically 1000 kg/m³. Standard gravity is 9.81 m/s².

5. Frequently Asked Questions (FAQ)

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

Q2: Why is volume displacement important?
A: It determines buoyancy, helps design ships and submarines, and is fundamental in fluid mechanics for understanding floating and sinking objects.

Q3: What are typical density values?
A: Fresh water: 1000 kg/m³, Salt water: 1025 kg/m³, Air: 1.225 kg/m³. These values can vary with temperature and pressure.

Q4: How does object shape affect displacement?
A: The shape determines how much fluid is displaced. Objects with larger surface areas displace more fluid for the same volume, affecting buoyancy.

Q5: Can this be used for gases?
A: Yes, the principle applies to all fluids including gases. For gases, use the appropriate density value (air density is approximately 1.225 kg/m³ at sea level).