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Calculate Water Pressure from Flow Rate

Water Pressure Formulas:

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

GPM
ft²
lb/ft³
ft/s
psi

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1. What is Water Pressure from Flow Rate Calculation?

Definition: This calculator determines the water pressure generated by a given flow rate through a pipe or channel of known cross-sectional area.

Purpose: It helps engineers, plumbers, and fluid system designers understand the relationship between flow rate and pressure in water systems.

2. How Does the Calculator Work?

The calculator uses two formulas:

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

Where:

Explanation: First calculates velocity from flow rate, then uses velocity to determine dynamic pressure.

3. Importance of Water Pressure Calculation

Details: Proper pressure calculation ensures system efficiency, prevents pipe damage, and helps in pump selection.

4. Using the Calculator

Tips: Enter the flow rate in GPM, pipe/channel area in ft², and water density (default 62.4 lb/ft³). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is the conversion factor 448.83 used?
A: This converts GPM to ft³/s (1 GPM = 0.002228 ft³/s) and divides by area to get velocity.

Q2: What's the typical water density?
A: Fresh water at 60°F is approximately 62.4 lb/ft³. Salt water is about 64 lb/ft³.

Q3: Does this account for pipe friction losses?
A: No, this calculates dynamic pressure only. For total system pressure, add static pressure and account for friction losses.

Q4: How do I find the cross-sectional area?
A: For circular pipes: \( A = \pi \times (diameter/2)^2 \) (convert diameter to feet).

Q5: What's the practical application of this calculation?
A: Used in designing sprinkler systems, plumbing networks, and industrial fluid transport systems.

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