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Specific Weight Given Mass Density Calculator

Formula Used:

\[ S = \rho_f \times g \]

kg/m³
m/s²

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1. What is Specific Weight?

Specific Weight of Liquid in Piezometer is the ratio of a body's weight P to its volume V. It represents the weight per unit volume of a fluid and is measured in Newton per Cubic Meter (N/m³).

2. How Does the Calculator Work?

The calculator uses the formula:

\[ S = \rho_f \times g \]

Where:

Explanation: The specific weight is calculated by multiplying the mass density of the fluid by the acceleration due to gravity.

3. Importance of Specific Weight Calculation

Details: Specific weight is crucial in fluid mechanics and engineering applications. It helps in determining buoyancy forces, pressure distributions, and fluid behavior in various containers and systems.

4. Using the Calculator

Tips: Enter mass density in kg/m³ and acceleration due to gravity in m/s². Standard gravity is approximately 9.8 m/s². All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between mass density and specific weight?
A: Mass density (ρ) is mass per unit volume (kg/m³), while specific weight (S) is weight per unit volume (N/m³). They are related by S = ρ × g.

Q2: Why is specific weight important in fluid mechanics?
A: Specific weight helps determine hydrostatic pressure, buoyant forces, and fluid stability in various engineering applications.

Q3: How does temperature affect specific weight?
A: Temperature changes affect fluid density, which in turn affects specific weight. Most fluids expand with increasing temperature, decreasing both density and specific weight.

Q4: What are typical specific weight values for common fluids?
A: Water at 4°C has specific weight of about 9800 N/m³, mercury has about 133,000 N/m³, and air has about 12 N/m³ at standard conditions.

Q5: Can this calculator be used for gases?
A: Yes, the formula applies to both liquids and gases, though gas density and specific weight are more sensitive to temperature and pressure changes.

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