# Conversion Tables and Formulas - by Nelsen Corporation

Volume | |
---|---|

1 U.S. Gallon | 231.0 in³ |

0.137 ft³ | |

3.785 liters | |

.00379 meters³ | |

0.83 Imp gal | |

0.238 42-gal barrel | |

1 Imperial Gallon | 1.2 U.S. gal |

1 Cubic Foot | 7.48 U.S. gal |

0.0283 meter³ | |

1 Liter | 0.2642 U.S. gal |

1 Cubic Meter | 35.315 ft³ |

264.2 U.S gal | |

1 Acre Foot | 43,560 ft³ |

325,829 U.S. gal | |

1 Acre Inch | 3,630 ft³ |

27,100 U.S. gal | |

Length | |
---|---|

1 Inch | 2.54 centimeters |

1 Meter | 3.28 feet |

39.37 inches | |

1 Rod | 16.5 feet |

1 Mile | 5280 Feet (1.61 Kilometers) |

Capacity | |
---|---|

1 Cubic Foot Per Second (2nd foot) (C.F.S) | 449 gpm |

1 Acre Foot Per Day | 227 gpm |

1 Acre Inch Per Hour | 454 gpm |

1 Cubic Meter Per Minute | 264 gpm |

1,000,000 Gal. Per Day | 595 gpm |

Head | |
---|---|

1 Pound Per Square Inch (p.s.i) | 2.31 ft. head of water |

2.04 in. mercury | |

0.07 kg/cm2 | |

1 Foot of Water | 0.433 lb/in2 |

.855 inc. mercury | |

1 Inch of Mercury (or vacuum) | 1.132 ft of water |

1 Kilogram Per Square Cm | 14.22 lb/in2 |

1 Atmosphere (at sea level) | 14.7 lb/in2 |

34.0 ft of water | |

1 Acre Foot | 10.35 meters of water |

1 Meter of Water | 3.28 feet of water |

To Find Capacity of a Tank or Cistern | ||||
---|---|---|---|---|

Diameter of Tank in Feet Squared | x .7854 x | Height of Tank in Feet | x 7.48 | Capacity U.S. Gallons |

Horsepower | |
---|---|

1 H.P. Equals | .746 kilowatts of 746 watts |

33,000 ft lbs per minute | |

550 ft lbs per second | |

H.P. Input Equals | Horsepower input to motor |

1.34 x kilowatts input to motor | |

Water H.P. Equals | Horsepower required to lift water at |

G.P.M. x total head (in ft.) | |

3960 | |

Brake H.P. Equals | H.P. delivered by motor |

H.P. required by pump | |

H.P. input x motor efficiency | |

1.34 x KW input x motor efficiency | |

Water horsepower | |

Pump efficiency | |

G.P.M x total head (ft.) | |

3960 x pump efficiency | |

G.P.M x total head (lbs/in2) | |

103,000 x pump efficiency |

Electric Power | |
---|---|

AC | Alternating Current Power |

DC | Direct Current |

E | Volts |

I | Amperes |

W | Watts |

KW | Kilowatts |

Apparent Power | Volts x amperes = Volt amperes |

Apparent Power | E I |

Useful Power W | E I x P.F. |

Power Factor | ratio of useful power to |

apparent power | |

Power Factor | W |

e i = PF | |

KW Hr. | Kilowatt Hour |

Single Phase | E x I x PF |

Power W | |

3 Phase Power W | 1.73 x E x I x PF |

Where E | Average voltage between phases |

I | Average current in each phase |

Electric Power | |
---|---|

Efficiency Equals | Power Output Power Input |

Motor Efficiency Equals | H.P. Output K.W. input x 1.34 |

Pump Efficiency Equals | G.P.M. x total head (ft.) 103,000 x B.H.P |

Efficiency | |
---|---|

Efficiency Equals | Power Output Power Input |

Motor Efficiency Equals | H.P. Output K.W. input x 1.34 |

Pump Efficiency Equals | G.P.M. x total head (ft.) 103,000 x B.H.P |

Pressure/Feet of Head | |||
---|---|---|---|

Lbs. Per Sq. In. | Feet Head | Feet Head | Lbs. Per Sq. In. |

1 | 2.31 | 1 | 0.43 |

2 | 4.62 | 2 | 0.87 |

3 | 6.93 | 3 | 1.3 |

4 | 9.24 | 4 | 1.73 |

5 | 11.54 | 5 | 2.17 |

6 | 13.85 | 6 | 2.6 |

7 | 16.16 | 7 | 3.03 |

8 | 18.47 | 8 | 3.46 |

9 | 20.78 | 9 | 3.9 |

10 | 23.09 | 10 | 4.33 |

15 | 34.63 | 15 | 8.66 |

20 | 46.18 | 20 | 12.99 |

25 | 57.72 | 25 | 17.32 |

30 | 69.27 | 30 | 21.65 |

40 | 92.36 | 40 | 25.99 |

50 | 115.45 | 50 | 30.32 |

60 | 138.54 | 60 | 34.65 |

70 | 161.63 | 70 | 38.98 |

80 | 184.72 | 80 | 43.31 |

90 | 207.81 | 90 | 47.65 |

100 | 230.9 | 100 | 51.97 |

110 | 253.98 | 110 | 56.3 |

120 | 277.07 | 120 | 60.63 |

125 | 288.62 | 125 | 64.96 |

130 | 300.16 | 130 | 69.29 |

140 | 323.25 | 140 | 73.63 |

150 | 346.34 | 150 | 77.96 |

160 | 369.43 | 160 | 82.29 |

170 | 392.52 | 170 | 86.62 |

180 | 415.61 | 180 | 97.45 |

190 | 438.9 | 190 | 108.27 |

200 | 461.78 | 200 | 119.1 |

225 | 519.51 | 225 | 129.93 |

250 | 577.24 | 250 | 140.75 |

275 | 643.03 | 275 | 151.58 |

300 | 692.69 | 300 | 173.24 |

325 | 750.41 | 325 | 216.55 |

350 | 808.13 | 350 | 259.85 |

375 | 865.89 | 375 | 303.16 |

400 | 922.58 | 400 | 346.47 |

500 | 1154.48 | 500 | 389.78 |

1000 | 2309 | 1000 | 433.09 |

A column of water 1 inch square by 2.31 feet high weighs 1 pound. Therefore, one pound of pressure per square inch (PSI) is equal to 2.31 feet of head.

A pressure of .433 pounds per square inch will support a column of water 1 inch square by 1 foot high. Therefore, one foot of head is equal to .433 PSI.

To convert pressure in pounds per square inch (PSI) to head in feet: multiply by 2.31. To convert head in feet to pressure in pounds per square inch (PSI): multiply by .433.

Storage Capacity of Well Casing and Vertical Tanks | |||
---|---|---|---|

Diameter | Gal. Per Ft. | Diameter | Gal. Per Ft. |

2 in. | 0.16 | 8.5 ft. | 424.5 |

3 in. | 0.37 | 9 ft. | 475.9 |

4 in. | 0.65 | 9.5 ft. | 530.2 |

5 in. | 1 | 10 ft. | 587.5 |

6 in. | 1.5 | 11 ft. | 711 |

8 in. | 2.6 | 12 ft. | 846 |

10 in. | 4.1 | 13 ft. | 993 |

12 in. | 5.9 | 14 ft. | 1151 |

16 in. | 10.4 | 15 ft. | 1322 |

18 in. | 13.2 | 16 ft. | 1504 |

20 in. | 16.3 | 17 ft. | 1698 |

24 in. | 23.5 | 18 ft. | 1904 |

30 in. | 36.7 | 19 ft. | 2121 |

36 in. | 52.9 | 20 ft. | 2352 |

42 in. | 72 | 21 ft. | 2591 |

48 in. | 94 | 22 ft. | 2845 |

54 in. | 119 | 23 ft. | 3109 |

60 in. | 147 | 24 ft. | 3384 |

66 in. | 177.8 | 25 ft. | 3672 |

72 in. | 211.5 | 26 ft. | 3971 |

78 in. | 248.2 | 27 ft. | 4283 |

84 in. | 287.9 | 28 ft. | 4606 |

90 in. | 330.5 | 29 ft. | 4841 |

96 in. | 376 | 30 ft. | 5288 |

### Flow of Water/Gravity or Tank Pressure

The approximate flow of water in GPM through a length of pipe due to the force of gravity can be easily determined by the formula:D x 100 devided by L

Determine the vertical distance in feet (D) between the pipe inlet and the pipe outlet. Multiply this distance by 100 and divide that amount by the total length of the pipe in feet (L).

Refer to the appropriate friction loss table for the size and type of pipe. Read down the appropriate column to the number of feet as determined by the formula above. Read across to the left to determine the approximate flow rate through the pipe. The flow at the lower end of the pipe will be at zero pressure.

### Example

A 300' length of 1" plastic pipe runs from an inlet point to a point to discharge 40 feet lower. The approximate flow rate would be 40 x 100 divided by 300 = 13.3. Referring to the friction loss tables gives a flow rate between 14 and 16, or about 15 GPM.

For pressure tanks the formula is the same, except that the pressure in the tank should be converted to vertical feet of head and added to the vertical distance if any. Again the flow at the end of the pipe will be at zero pressure.

Contact:

George Hogg

WTC

Email:

info@waterbygeorge.ca

Cell:

780 871 9283

Phone:

780 809 2256

Postal Address:

PO Box 12699

Lloydminster, AB T9V 0Y4