FPS to GPM Conversion Calculator / Convert Feet Per Second to GPM Flow Rate

The fps to gpm calculator is an essential tool, consider a water pipeline with a cross-sectional area of 0.785 square feet flowing at 2.5 FPS. By utilizing this calculator, we can determine that it delivers an impressive 703.24 GPM, which is crucial for designing effective industrial pumping systems.

FPS to GPM Conversions Chart

This conversion table is created using Pipe diameter: 2 inches (0.1667 feet), formula: GPM = FPS × (π × d² / 4) × 7.48.

FPS Converted to	GPM (Gallons per Minute)
1	0.97
2	1.93
3	2.90
4	3.87
5	4.83
6	5.80
7	6.77
8	7.73
9	8.70
10	9.67
15	14.50
20	19.33
25	24.17
30	29.00
35	33.83
40	38.67
45	43.50
50	48.33
55	53.17
60	58.00
65	62.83
70	67.67
75	72.50
80	77.33
85	82.17
90	87.00
95	91.83
100	96.67

FPS to GPM Conversion Formula

The conversion relies on the following powerful equation:

GPM = FPS × A × 448.83, where:

• FPS represents fluid velocity
• A denotes pipe cross-sectional area in square feet
• 448.83 is the conversion factor from cubic feet per second to GPM

Let’s convert 3 FPS in an 8-inch diameter pipe:

• Calculate area: A = π(8/12)² / 4 = 0.349 sq ft
• Apply the formula: GPM = 3 × 0.349 × 448.83 = 470.27 GPM

How to Convert FPS to GPM?

Follow these steps to convert FPS to GPM effectively:

• Measure pipe diameter (inches)
• Calculate cross-sectional area (square feet)
• Measure flow velocity (FPS)
• Apply the conversion formula: GPM = FPS × A × 448.83

For a 10-inch industrial water line flowing at 2.5 FPS, here’s how you would calculate the GPM:

• Diameter = 10 inches
• Area = A = π(10/12)² / 4 = 0.545 sq ft
• Velocity = 2.5 FPS
• Calculate GPM: GPM = 2.5 × 0.545 × 448.83 = 611.53 GPM

2 Feet Per Second in a 1-Inch Pipe

• Calculation:
  • Pipe Radius: 0.5 inches
  • Pipe Area: π × (0.5)² = 0.7854 sq inches
  • GPM = (2 FPS × 0.7854) ÷ 0.4085
  • Result: Approximately 4 Gallons Per Minute

Typical low-flow situation, like a small residential water line or irrigation system.

5 Feet Per Second in a 2-Inch Pipe

• Calculation:
  • Pipe Radius: 1 inch
  • Pipe Area: π × (1)² = 3.14159 sq inches
  • GPM = (5 FPS × 3.14159) ÷ 0.4085
  • Result: Approximately 38.56 Gallons Per Minute

Medium-flow application, such as a commercial plumbing system or light industrial process.

10 Feet Per Second in a 3-Inch Pipe

• Calculation:
  • Pipe Radius: 1.5 inches
  • Pipe Area: π × (1.5)² = 7.06858 sq inches
  • GPM = (10 FPS × 7.06858) ÷ 0.4085
  • Result: Approximately 173.26 Gallons Per Minute

High-flow industrial application or municipal water distribution.

1 Foot Per Second in a 4-Inch Pipe

• Calculation:
  • Pipe Radius: 2 inches
  • Pipe Area: π × (2)² = 12.56637 sq inches
  • GPM = (1 FPS × 12.56637) ÷ 0.4085
  • Result: Approximately 30.76 Gallons Per Minute

Low-velocity, large diameter pipe in cooling systems or drainage applications.

7 Feet Per Second in a 1.5-Inch Pipe

• Calculation:
  • Pipe Radius: 0.75 inches
  • Pipe Area: π × (0.75)² = 1.76714 sq inches
  • GPM = (7 FPS × 1.76714) ÷ 0.4085
  • Result: Approximately 30.28 Gallons Per Minute

Moderate-flow situation in specialized industrial or mechanical systems.