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Definition: This calculator converts the pressure (in psi, bar, kg/cm², psf, or kPa) to head (in meters, centimeters, inches, feet, or yards) based on the specific gravity of the fluid (\( SG \)).
Purpose: It is used in mechanical engineering to translate pump pressure measurements into equivalent head values, which are commonly used in pump characteristic curves, aiding in system design and performance analysis.
The calculator uses the relationship:
Where:
Explanation: Enter the pressure value in the chosen unit (psi, bar, kg/cm², psf, or kPa) and select the specific gravity of the fluid (or input a custom value). The pressure is converted to psi, and the head is calculated using \( h = \frac{2.31 p}{SG} \), then converted to meters, centimeters, inches, feet, and yards. Results are displayed with 5 decimal places, using scientific notation if the value exceeds 100,000 or is less than 0.0001. For default inputs (\( p = 43.3 \, \text{psi} \), \( SG = 1.000 \) for water), the calculated head is approximately 100.02300 ft, 30.48700 m, 3048.70000 cm, 1200.27600 inches, and 33.34100 yards.
Details: Converting pressure to head is essential for interpreting pressure gauge readings in terms of pump head, ensuring compatibility with pump performance curves, and facilitating accurate design and operation of pumping systems.
How do I convert pressure to head?
Enter the pressure value in psi, bar, kg/cm², psf, or kPa and select the specific gravity (\( SG \)) of the fluid (or input a custom value). The pressure is converted to psi, and the head is calculated using \( h = \frac{2.31 p}{SG} \), then displayed in meters, centimeters, inches, feet, and yards.
What does the pressure to head conversion represent?
The pressure to head conversion translates the pressure exerted by a fluid into an equivalent height (head) a pump can lift the fluid, accounting for the fluid's specific gravity, which is crucial for pump performance analysis.
What is the formula for pressure to head conversion?
The formula is \( h = \frac{2.31 p}{SG} \), where \( p \) is the pressure in psi, and \( SG \) is the specific gravity. The result is initially in feet, then converted to meters, centimeters, inches, and yards.
Can I use different units for pressure or select different specific gravities?
Yes, the calculator supports pressure in psi, bar, kg/cm², psf, or kPa, and allows selection of specific gravity for various liquids or a custom input. All pressure inputs are converted to psi for calculation.
What happens if I enter zero for the pressure or specific gravity?
Entering zero for the pressure (\( p \)) will result in a head of zero, while entering zero for the specific gravity (\( SG \)) will result in the calculation not being performed, as the formula involves division by \( SG \). The specific gravity should be positive for meaningful results.