Use this gpm to fps calculator facilitates the conversion from gallons per minute to feet per second using FPS = (GPM * 0.002228) / (π * r²) formula.
GPM to FPS Calculator
| GPM | Pipe Diameter | FPS |
|---|---|---|
| 50 | 1 | 6.36 |
| 100 | 2 | 10.19 |
| 150 | 2.5 | 12.35 |
| 200 | 3 | 14.62 |
| 250 | 4 | 6.37 |
| 300 | 5 | 7.78 |
| 400 | 6 | 9.20 |
| 500 | 6 | 11.63 |
| 600 | 8 | 10.93 |
| 700 | 10 | 8.67 |
| 750 | 8 | 4.77 |
| 800 | 10 | 9.45 |
| 900 | 12 | 11.09 |
| 1000 | 10 | 4.08 |
| 1200 | 12 | 13.37 |
| 1500 | 14 | 15.57 |
| 2000 | 16 | 18.00 |
GPM to FPS Conversion Formula
The general formula is:
FPS = (GPM * 0.002228) / (π * r²)Where:
- FPS is the velocity in feet per second
- GPM is the flow rate in gallons per minute
- r is the pipe radius in feet
- π is approximately 3.14159
The conversion between GPM and FPS involves considering the cross-sectional area of the pipe or channel through which the fluid flows.
This formula accounts for the relationship between volume flow rate (GPM) and linear velocity (FPS), taking into consideration the pipe’s dimensions.
How do you convert GPM to FPS?
To convert GPM to FPS, follow these steps:
- Determine the flow rate in GPM
- Measure the pipe diameter and calculate its radius in feet
- Apply the conversion formula
We have a flow rate of 200 GPM through a 3-inch diameter pipe.
Flow rate = 200 GPM
Pipe diameter = 3 inches = 0.25 feet
Pipe radius = 0.25 / 2 = 0.125 feet
Applying the formula: FPS = (200 * 0.002228) / (π * 0.125²) FPS ≈ 9.06
The 200 GPM in a 3-inch pipe equates to approximately 9.06 FPS.
How many GPM is 2.5 FPS?
To find the GPM equivalent of a given FPS:
GPM = (FPS * π * r²) / 0.002228Let’s calculate for 2.5 FPS in a 4-inch diameter pipe:
- Velocity = 2.5 FPS
- Pipe diameter = 4 inches = 0.3333 feet
Pipe radius = 0.3333 / 2 = 0.1667 feet- Applying the formula: GPM = (2.5 * π * 0.1667²) / 0.002228 GPM ≈ 155.5
The 2.5 FPS in a 4-inch pipe is equivalent to approximately 155.5 GPM.
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