1. What is the Pressure Equation?

The pressure equation (P = ρgh) calculates hydrostatic pressure at the bottom of a fluid column based on the fluid's density (ρ), gravitational acceleration (g), and the height (h) of the fluid column. This is fundamental in fluid mechanics and engineering applications.

2. How Does the Calculator Work?

The calculator uses the hydrostatic pressure equation:

Where:

• \( Density \) — Fluid density (kg/m³)
• \( Gravity \) — Gravitational acceleration (m/s²)
• \( Height \) — Height of fluid column (m)

Explanation: The equation shows that pressure increases linearly with depth in a fluid due to the weight of the fluid above.

3. Importance of Pressure Calculation

Details: Accurate pressure calculation is crucial for designing water tanks, dams, hydraulic systems, and understanding fluid behavior in various engineering applications.

4. Using the Calculator

Tips: Enter density in kg/m³ (1000 for water), gravity in m/s² (9.81 on Earth), and height in meters. 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. This decreases slightly with increasing temperature.

Q2: Does this equation work for all fluids?
A: Yes, but the density value must be appropriate for the specific fluid at the given conditions.

Q3: What units does the result use?
A: The result is in Pascals (Pa), the SI unit for pressure. 1 Pa = 1 N/m².

Q4: How does height affect pressure?
A: Pressure increases linearly with height (depth) - doubling the height doubles the pressure.

Q5: What about atmospheric pressure?
A: This calculates gauge pressure (pressure due to the fluid only). For absolute pressure, add atmospheric pressure (101325 Pa at sea level).