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Calculating Pressure in a Manometer

Manometer Pressure Equation:

\[ \Delta P = \rho \cdot g \cdot \Delta h \]

kg/m³
m/s²
m

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1. What is Manometer Pressure?

The manometer pressure equation calculates the pressure difference (ΔP) in a fluid column based on the fluid density (ρ), gravitational acceleration (g), and height difference (Δh) of the fluid column. This principle is fundamental in fluid mechanics and pressure measurement.

2. How Does the Calculator Work?

The calculator uses the manometer equation:

\[ \Delta P = \rho \cdot g \cdot \Delta h \]

Where:

Explanation: The equation shows that pressure difference is directly proportional to the fluid density, gravitational acceleration, and height difference of the fluid column.

3. Importance of Pressure Calculation

Details: Accurate pressure measurement is crucial in various engineering applications, including HVAC systems, hydraulic systems, and medical equipment. Manometers are commonly used to measure pressure differences in these systems.

4. Using the Calculator

Tips: Enter fluid density in kg/m³ (water = 1000 kg/m³), gravitational acceleration in m/s² (9.81 m/s² on Earth), and height difference in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What are typical fluids used in manometers?
A: Common fluids include water (ρ=1000 kg/m³), mercury (ρ=13600 kg/m³), and oil (ρ~800-900 kg/m³).

Q2: How does temperature affect the calculation?
A: Fluid density changes with temperature, so accurate measurements require knowing the density at the measurement temperature.

Q3: What units does this calculator use?
A: The calculator uses SI units: Pascals for pressure, kg/m³ for density, m/s² for gravity, and meters for height.

Q4: Can I use this for gas pressure measurements?
A: Yes, manometers can measure gas pressures, but the fluid density must be much greater than the gas density.

Q5: What's the difference between absolute and gauge pressure?
A: This calculator gives pressure difference. Gauge pressure is relative to atmospheric, while absolute includes atmospheric pressure.

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