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Convert GPM to PSI Calculator

Pressure Formula:

\[ P = \frac{V^2 \times \rho}{2 \times 144} \] \[ V = \frac{Q}{A \times 448.83} \]

GPM
ft²
lb/ft³
ft/s
psi

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1. What is a GPM to PSI Calculator?

Definition: This calculator converts flow rate in gallons per minute (GPM) to pressure in pounds per square inch (PSI) using pipe area and fluid density.

Purpose: It helps engineers, plumbers, and technicians determine the pressure generated by fluid flow in pipes.

2. How Does the Calculator Work?

The calculator uses these formulas:

\[ P = \frac{V^2 \times \rho}{2 \times 144} \] \[ V = \frac{Q}{A \times 448.83} \]

Where:

Explanation: The flow rate is converted to velocity, which is then used to calculate the dynamic pressure.

3. Importance of GPM to PSI Conversion

Details: Understanding the relationship between flow rate and pressure is crucial for proper pipe sizing, pump selection, and system design.

4. Using the Calculator

Tips: Enter the flow rate in GPM, pipe area in square feet, and fluid density (default 62.4 lb/ft³ for water). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the 448.83 conversion factor?
A: It converts GPM to ft³/s (1 GPM = 0.002228 ft³/s) and accounts for unit consistency in the equation.

Q2: Why is pipe area important?
A: Smaller pipe areas result in higher velocities for the same flow rate, which increases pressure.

Q3: What's a typical water density?
A: Pure water at 60°F is 62.4 lb/ft³. Adjust for other fluids or temperatures.

Q4: Does this account for pipe friction?
A: No, this calculates dynamic pressure only. For total system pressure, add static pressure and account for friction losses.

Q5: How do I find pipe area?
A: For circular pipes: \( A = \pi \times (D/2)^2 \), where D is diameter in feet.

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