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Calculate Pressure From Head

Pressure Formula:

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

kg/m³
m/s²
m
Pa

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1. What is Pressure From Head Calculation?

Definition: This calculator determines the pressure exerted by a fluid column based on its density, gravitational acceleration, and height of the fluid column.

Purpose: It's essential in fluid mechanics, hydraulics, and engineering to understand pressure in systems like water towers, pipelines, and reservoirs.

2. How Does the Calculator Work?

The calculator uses the hydrostatic pressure formula:

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

Where:

Explanation: The pressure at the bottom of a fluid column is directly proportional to the fluid's density, gravitational force, and the height of the column.

3. Importance of Pressure Calculation

Details: Accurate pressure calculations ensure proper design of hydraulic systems, prevent overpressure situations, and help in selecting appropriate materials for construction.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is the standard value for gravity?
A: On Earth's surface, standard gravity is 9.80665 m/s², often rounded to 9.81 m/s² for calculations.

Q2: What's the density of water?
A: Pure water at 4°C has a density of 1000 kg/m³. This decreases slightly with temperature increase.

Q3: Does this work for any fluid?
A: Yes, as long as you know the fluid's density. For example, mercury has a density of 13,600 kg/m³.

Q4: How does this relate to psi or bar?
A: 1 bar = 100,000 Pa, 1 psi ≈ 6894.76 Pa. You can convert the result accordingly.

Q5: Why is pressure important in engineering?
A: Pressure calculations are critical for designing pipes, tanks, and hydraulic systems to ensure they can withstand expected forces.

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