Weight Of Displaced Water Calculator

Archimedes' Principle Formula:

\[ W = V \times \rho \times g \]

Weight (W):

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1. What is Archimedes' Principle?

Archimedes' principle states that the upward buoyant force exerted on a body immersed in a fluid is equal to the weight of the fluid that the body displaces. This calculator computes the weight of water displaced by an object based on this fundamental principle.

2. How Does the Calculator Work?

The calculator uses the Archimedes' principle formula:

\[ W = V \times \rho \times g \]

Where:

\( W \) — Weight of displaced water (Newtons)
\( V \) — Volume of displaced water (cubic meters)
\( \rho \) — Density of water (kg/m³)
\( g \) — Gravitational acceleration (m/s²)

Explanation: The formula calculates the weight force of the water displaced by an object, which according to Archimedes' principle equals the buoyant force acting on the object.

3. Importance of Weight Calculation

Details: Calculating the weight of displaced water is crucial for determining buoyancy, designing floating structures, understanding fluid mechanics, and solving problems related to object immersion and flotation.

4. Using the Calculator

Tips: Enter the volume of water displaced in cubic meters, the density of the fluid (default 1000 kg/m³ for water), and gravitational acceleration (default 9.81 m/s² for Earth). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is density typically set to 1000 kg/m³?
A: 1000 kg/m³ is the standard density of pure water at 4°C, which is commonly used as a reference value for freshwater calculations.

Q2: What if I'm calculating for seawater?
A: Seawater has a higher density (approximately 1025 kg/m³). Adjust the density value accordingly for accurate calculations in marine environments.

Q3: How does gravity affect the calculation?
A: Gravity determines the weight force. The same mass of water will have different weights on different planets due to varying gravitational acceleration.

Q4: Can this calculator be used for other fluids?
A: Yes, simply adjust the density value to match the specific fluid you're working with (e.g., 789 kg/m³ for ethanol, 13600 kg/m³ for mercury).

Q5: What practical applications does this calculation have?
A: This calculation is essential for shipbuilding, submarine design, hydrometer calibration, determining object buoyancy, and many engineering applications involving fluid displacement.