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Hydrostatic Head Pressure Calculator

Hydrostatic Pressure Formula:

\[ P = \rho \times g \times h \]

kg/m³
m/s²
m

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1. What is Hydrostatic Head Pressure?

Definition: Hydrostatic pressure is the pressure exerted by a fluid at equilibrium due to the force of gravity.

Purpose: This calculator helps engineers, scientists, and students determine the pressure at a certain depth in a fluid.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P = \rho \times g \times h \]

Where:

Explanation: The pressure increases linearly with depth and depends on the fluid's density and local gravity.

3. Importance of Hydrostatic Pressure Calculation

Details: Essential for designing dams, submarines, water towers, and understanding blood pressure in medicine.

4. Using the Calculator

Tips: Enter the fluid density (1000 kg/m³ for water), gravity (9.81 m/s² on Earth), and fluid column height. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the typical density of water?
A: Pure water at 4°C has a density of 1000 kg/m³. Seawater is about 1025 kg/m³.

Q2: Does this work for any fluid?
A: Yes, as long as you know the fluid's density. For oil (≈800 kg/m³), mercury (≈13600 kg/m³), etc.

Q3: What if I need pressure in different units?
A: 1 Pascal = 0.000145 psi, or 0.0075 mmHg. You can convert after calculation.

Q4: Why is gravity important in the calculation?
A: Pressure depends on weight, which depends on gravity. On Mars (g=3.7 m/s²), pressure would be less.

Q5: Does this include atmospheric pressure?
A: No, this calculates only the hydrostatic pressure. Total pressure would add atmospheric pressure (101325 Pa at sea level).

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