1. What is Mass Density Given Specific Weight?

Mass density of a fluid is defined as the mass per unit volume of the fluid. It is calculated from the specific weight of the liquid divided by the acceleration due to gravity.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \rho_f \) — Mass density of fluid (kg/m³)
• \( S \) — Specific weight of liquid (N/m³)
• \( g \) — Acceleration due to gravity (m/s²)

Explanation: The formula converts specific weight (weight per unit volume) to mass density (mass per unit volume) by dividing by gravitational acceleration.

3. Importance of Mass Density Calculation

Details: Mass density is a fundamental property of fluids used in various engineering applications including fluid mechanics, buoyancy calculations, and hydraulic system design.

4. Using the Calculator

Tips: Enter specific weight in N/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 specific weight and mass density?
A: Specific weight is weight per unit volume (N/m³), while mass density is mass per unit volume (kg/m³). They are related through gravitational acceleration.

Q2: What are typical values for mass density?
A: Water has a mass density of approximately 1000 kg/m³ at 4°C. Air has about 1.225 kg/m³ at sea level.

Q3: Does mass density change with temperature?
A: Yes, mass density typically decreases with increasing temperature for most fluids due to thermal expansion.

Q4: When should I use standard gravity vs actual local gravity?
A: For most engineering calculations, standard gravity (9.8 m/s²) is sufficient. For precise scientific work, local gravity should be used.

Q5: Can this formula be used for all fluids?
A: Yes, the relationship between specific weight and mass density applies to all Newtonian fluids under normal conditions.