GPM to PSI Calculator – Gallons Per Minute Calculator

Our gpm to psi calculator is used to convert flow rate (Gallons Per Minute) to pressure (Pounds per Square Inch) using ΔP = f * (L/D) * ρ * (v²/2) formula.

Imagine a garden hose with a flow rate of 10 GPM. The GPM to PSI converter would help determine the pressure at the nozzle, considering factors like hose length and diameter.

GPM to PSI Calculator

GPM converted toPSI
1 gpm2858.33 psi
2 gpm1429.17 psi
3 gpm952.78 psi
4 gpm714.58 psi
5 gpm571.67 psi
6 gpm476.39 psi
7 gpm408.33 psi
8 gpm357.29 psi
9 gpm317.59 psi
10 gpm285.83 psi
11 gpm260.76 psi
12 gpm238.19 psi
13 gpm219.87 psi
14 gpm204.17 psi
15 gpm190.56 psi
16 gpm178.65 psi
17 gpm168.13 psi
18 gpm158.79 psi
19 gpm150.44 psi
20 gpm142.92 psi
21 gpm136.11 psi
22 gpm130.02 psi
23 gpm124.49 psi
24 gpm119.51 psi
25 gpm114.93 psi
26 gpm110.71 psi
27 gpm106.79 psi
28 gpm103.15 psi
29 gpm99.76 psi
30 gpm95.61 psi
31 gpm92.66 psi
32 gpm89.85 psi
33 gpm87.19 psi
34 gpm84.66 psi
35 gpm82.24 psi
36 gpm79.93 psi
37 gpm77.72 psi
38 gpm75.61 psi
39 gpm73.57 psi
40 gpm71.61 psi
41 gpm69.72 psi
42 gpm67.91 psi
43 gpm66.16 psi
44 gpm64.47 psi
45 gpm62.85 psi
46 gpm61.28 psi
47 gpm59.76 psi
48 gpm58.29 psi
49 gpm56.87 psi
50 gpm55.49 psi
51 gpm54.15 psi
52 gpm52.85 psi
53 gpm51.59 psi
54 gpm50.36 psi
55 gpm49.16 psi
56 gpm48.00 psi
57 gpm46.86 psi
58 gpm45.75 psi
59 gpm44.67 psi
60 gpm43.61 psi
61 gpm42.58 psi
62 gpm41.57 psi
63 gpm40.59 psi
64 gpm39.63 psi
65 gpm38.69 psi
66 gpm37.78 psi
67 gpm36.89 psi
68 gpm36.02 psi
69 gpm35.17 psi
70 gpm34.34 psi
71 gpm33.53 psi
72 gpm32.74 psi
73 gpm31.97 psi
74 gpm31.22 psi
75 gpm30.49 psi
76 gpm29.77 psi
77 gpm29.08 psi
78 gpm28.40 psi
79 gpm27.74 psi
80 gpm27.10 psi
81 gpm26.48 psi
82 gpm25.87 psi
83 gpm25.28 psi
84 gpm24.71 psi
85 gpm24.15 psi
86 gpm23.61 psi
87 gpm23.08 psi
88 gpm22.57 psi
89 gpm22.07 psi
90 gpm21.58 psi
91 gpm21.11 psi
92 gpm20.64 psi
93 gpm20.19 psi
94 gpm19.76 psi
95 gpm19.33 psi
96 gpm18.92 psi
97 gpm18.52 psi
98 gpm18.13 psi
99 gpm17.75 psi
100 gpm17.38 psi

GPM to PSI Conversion Chart

GPMPSI
100 gpm17.38 psi
150 gpm11.59 psi
200 gpm8.69 psi
250 gpm6.91 psi
300 gpm5.77 psi
350 gpm5.03 psi
400 gpm4.34 psi
450 gpm3.76 psi
500 gpm3.38 psi
550 gpm2.93 psi
600 gpm2.56 psi
650 gpm2.25 psi
700 gpm1.98 psi
750 gpm1.74 psi
800 gpm1.53 psi
850 gpm1.34 psi
900 gpm1.17 psi
950 gpm1.01 psi
1000 gpm0.87 psi

GPM to PSI Conversion Formula

The conversion from GPM to PSI formula is the Darcy-Weisbach equation:

ΔP = f (L/D) ρ * (v²/2)

Where:

  • ΔP is the pressure drop (PSI)
  • f is the Darcy friction factor
  • L is the pipe length (feet)
  • D is the pipe diameter (feet)
  • ρ is the fluid density (lb/ft³)
  • v is the fluid velocity (ft/s)

To use this formula, we need to convert GPM to fluid velocity (v):

v = Q / A

Where:

  • Q is the flow rate in ft³/s (GPM * 0.002228)
  • A is the pipe cross-sectional area in ft² (π * (D/2)²)

For a 1-inch diameter pipe with a flow rate of 20 GPM and length of 100 feet:

Convert GPM to ft³/s: 20 * 0.002228 = 0.04456 ft³/s

Calculate pipe area: π * (1/24)² = 0.00545 ft²

Calculate velocity: 0.04456 / 0.00545 = 8.18 ft/s

Use the Darcy-Weisbach equation to find ΔP

How do you convert GPM to PSI?

  1. Gather system information: Collect data on pipe diameter, length, material, and fluid properties.
  2. Calculate fluid velocity: Use the formula v = Q / A to find velocity from GPM.
  3. Determine the Reynolds number: This helps in finding the friction factor.
  4. Find the friction factor: Use the Moody diagram or appropriate equations based on the Reynolds number and pipe roughness.
  5. Apply the Darcy-Weisbach equation: Calculate the pressure drop using the formula.

Let’s convert 15 GPM to PSI for a 3/4-inch pipe that’s 50 feet long:

System info: D = 0.75 inches (0.0625 feet), L = 50 feet, water at 68°F (ρ ≈ 62.4 lb/ft³)

Velocity: v = (15 0.002228) / (π (0.0625/2)²) ≈ 10.63 ft/s

Reynolds number: Re = (ρ v D) / μ (μ is dynamic viscosity)

Find friction factor f using the Reynolds number and relative roughness

Apply Darcy-Weisbach: ΔP = f (50/0.0625) 62.4 * (10.63²/2)

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