1 GPM to PSI Calculator

Pressure Formula:

\[ P = \frac{V^2 \times \rho}{2 \times 144} \] \[ V = \frac{1}{A \times 448.83} \]

Velocity (ft/s):

Pressure (psi):

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1. What is a 1 GPM to PSI Calculator?

Definition: This calculator determines the pressure (PSI) generated when 1 gallon per minute (GPM) flows through a pipe of given cross-sectional area.

Purpose: It helps engineers and plumbers understand the pressure characteristics of fluid flow systems.

2. How Does the Calculator Work?

The calculator uses two formulas:

\[ V = \frac{1}{A \times 448.83} \] \[ P = \frac{V^2 \times \rho}{2 \times 144} \]

Where:

\( P \) — Pressure (psi)
\( V \) — Velocity (ft/s)
\( \rho \) — Fluid density (lb/ft³)
\( A \) — Pipe cross-sectional area (ft²)

Explanation: First calculates velocity from flow rate and area, then computes pressure using the dynamic pressure equation.

3. Importance of Flow Pressure Calculation

Details: Understanding this relationship is crucial for designing piping systems, selecting pumps, and ensuring proper system operation.

4. Using the Calculator

Tips: Enter the 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: Why is the constant 448.83 used?
A: This converts 1 GPM to ft³/s (1 gallon = 0.133681 ft³, 1 minute = 60 seconds).

Q2: What's a typical density for water?
A: Water at room temperature is about 62.4 lb/ft³. Other fluids have different densities.

Q3: Does this account for friction losses?
A: No, this calculates only dynamic pressure. Actual system pressure would include friction losses.

Q4: How do I find pipe area?
A: For circular pipes: \( A = \pi \times (D/2)^2 \) where D is diameter in feet.

Q5: Can I use this for higher flow rates?
A: For Q GPM, multiply the resulting PSI by Q² (pressure increases with the square of flow rate).