Calculate Weight From Water Displacement

Weight From Water Displacement Formula:

\[ W_{wd} = \rho_w \times V_{wd} \times g \]

Weight From Water Displacement (W_wd):

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1. What Is Weight From Water Displacement?

Weight from water displacement is calculated using Archimedes' principle, which states that the buoyant force on an object submerged in fluid is equal to the weight of the fluid displaced by the object. This calculation is fundamental in fluid mechanics and hydrostatics.

2. How Does The Calculator Work?

The calculator uses the water displacement formula:

\[ W_{wd} = \rho_w \times V_{wd} \times g \]

Where:

\( W_{wd} \) — Weight from water displacement (Newtons)
\( \rho_w \) — Water density (kg/m³)
\( V_{wd} \) — Displaced volume (m³)
\( g \) — Gravitational acceleration (m/s²)

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

3. Importance Of Weight Calculation

Details: Calculating weight from water displacement is crucial for determining buoyancy, designing ships and submarines, measuring density of objects, and various engineering applications involving fluid mechanics.

4. Using The Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is the standard value for water density?
A: Pure water at 4°C has a density of 1000 kg/m³. Density varies slightly with temperature and salinity.

Q2: How is displaced volume measured?
A: Displaced volume is typically measured by submerging an object in water and measuring the volume increase, often using a graduated cylinder or overflow can.

Q3: Why is gravitational acceleration important?
A: Weight is force (mass × acceleration), so gravitational acceleration converts mass to weight. On Earth, this is approximately 9.81 m/s².

Q4: Can this formula be used for other fluids?
A: Yes, the formula works for any fluid by substituting the appropriate density value for that fluid.

Q5: How does this relate to Archimedes' principle?
A: This calculation gives the weight of displaced fluid, which equals the buoyant force acting on the submerged object according to Archimedes' principle.