1. What is Hydrostatic Law?

Hydrostatic Law describes the pressure variation in a fluid at rest. It states that the pressure at any point in a fluid at rest depends only on the depth, density of the fluid, and acceleration due to gravity.

2. How Does the Calculator Work?

The calculator uses the Hydrostatic Law formula:

Where:

• \( \omega \) — Weight density (N/m³)
• \( \rho_f \) — Density of fluid (kg/m³)
• \( g \) — Acceleration due to gravity (m/s²)

Explanation: The formula calculates the weight per unit volume of a fluid, which is fundamental in determining pressure at various depths in fluid mechanics.

3. Importance of Weight Density Calculation

Details: Weight density is crucial for designing hydraulic systems, calculating buoyant forces, determining pressure distributions in fluids, and various engineering applications involving fluid statics.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

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

Q2: How does weight density affect pressure in fluids?
A: Pressure at a depth h in a fluid is given by P = ω × h, where ω is the weight density of the fluid.

Q3: Does weight density change with location?
A: Yes, since weight density depends on gravitational acceleration, it varies slightly with geographical location and altitude.

Q4: What are typical weight density values for common fluids?
A: Water has ω ≈ 9800 N/m³, mercury has ω ≈ 133,000 N/m³, and air has ω ≈ 12 N/m³ at standard conditions.

Q5: How is weight density used in buoyancy calculations?
A: The buoyant force on an object equals the weight of the fluid displaced, which is calculated using the weight density of the fluid.