Conversion Tables and Formulas - by Nelsen Corporation

Volume

 

1 U.S. Gallon

 

 

 

 

 

 

1 Imperial Gallon

 

1 Cubic Foot

 

 

1 Liter

 

1 Cubic Meter

 

 

1 Acre Foot

 

 

1 Acre Inch

 

 

231.0 in³

0.137 ft³

3.785 liters

.00379 meters³

0.83 Imp gal

0.238 42-gal barrel

 

1.2 U.S. gal

 

7.48 U.S. gal

0.0283 meter³

 

0.2642 U.S. gal

 

35.315 ft³

264.2 U.S gal

 

43,560 ft³

325,829 U.S. gal

 

3,630 ft³

27,100 U.S. gal

 

Length

 

1 Inch

 

1 Meter

 

 

1 Rod

 

1 Mile

 

 

2.54 centimeters

 

3.28 feet

39.37 inches

 

16.5 feet

 

5280 Feet (1.61 Kilometers)

Weight

 

1 U.S. Gallon of Water

 

1 Cubic foot of Water

 

1 Kilogram or Litre

 

1 Imperial Gallon

 

 

8.33 lb

 

62.35 lb

 

2.2 lb

 

10.0 lb

Capacity

 

1 Cubic Foot Per Second

(2nd foot) (C.F.S)

 

1 Acre Foot Per Day

 

1 Acre Inch Per Hour

 

1 Cubic Meter Per Minute

 

1,000,000 Gal. Per Day

 

 

449 gpm

 

 

227 gpm

 

454 gpm

 

264 gpm

 

595 gpm

Horsepower

 

.746 kilowatts of 746 watts

33,000 ft lbs per minute

550 ft lbs per second

 

Horsepower input to motor

1.34 x kilowatts input to motor

 

Horsepower required to lift water at

 a definite rate to a given distance

 assuming 100% efficiency

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

3960

 

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

 

 

1 H.P. Equals

 

 

 

H.P. Input Equals

 

 

Water H.P. Equals

 

 

 

 

 

Brake H.P. Equals

 

Electric Power

 

AC

 

DC

 

E

 

I

 

W

 

KW

 

Apparent Power

 

Apparent Power

 

Useful Power W

 

Power Factor

 

 

Power Factor

 

 

KW Hr.

 

Single Phase

Power W

 

3 Phase Power W

 

Where E

 

I

 

 

Alternating Current Power

 

Direct Current

 

Volts

 

Amperes

 

Watts

 

Kilowatts

 

Volts x amperes = Volt amperes

 

E I

 

E I x P.F.

 

ratio of useful power to

apparent power

 

W

e i = PF

 

Kilowatt Hour

 

E x I x PF

 

 

1.73 x E x I x PF

 

Average voltage between phases

 

Average current in each phase

 

Head

 

1 Pound Per Square Inch (p.s.i)

 

 

 

1 Foot of Water

 

 

1 Inch of Mercury (or vacuum)

 

1 Kilogram Per Square Cm

 

1 Atmosphere (at sea level)

 

1 Acre Foot

 

1 Meter of Water

 

 

2.31 ft. head of water

2.04 in. mercury

0.07 kg/cm2

 

0.433 lb/in2

.855 inc. mercury

 

1.132 ft of water

 

14.22 lb/in2

 

14.7 lb/in2

34.0 ft of water

10.35 meters 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

 

Electric Power

 

Efficiency Equals

 

 

Motor Efficiency Equals

 

 

Pump Efficiency Equals

 

 

Power Output

Power Input

 

H.P. Output

K.W. input x 1.34

 

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

103,000 x B.H.P

 

Efficiency

 

Efficiency Equals

 

 

Motor Efficiency Equals

 

 

Pump Efficiency Equals

 

 

Power Output

Power Input

 

H.P. Output

K.W. input x 1.34

 

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

103,000 x B.H.P

 

Pressure/Feet of Head

Storage Capacity of Well Casing and Vertical Tanks

Lbs. Per

Sq. In.

Feet

Head

 

1

2

3

4

5

6

7

8

9

10

15

20

25

30

40

50

60

70

80

90

100

110

120

125

130

140

150

160

170

180

190

200

225

250

275

300

325

350

375

400

500

1000

 

 

2.31

4.62

6.93

9.24

11.54

13.85

16.16

18.47

20.78

23.09

34.63

46.18

57.72

69.27

92.36

115.45

138.54

161.63

184.72

207.81

230.90

253.98

277.07

288.62

300.16

323.25

346.34

369.43

392.52

415.61

438.90

461.78

519.51

577.24

643.03

692.69

750.41

808.13

865.89

922.58

1154.48

2309.00

 

Feet

Head

Lbs. Per

Sq. In.

 

1

2

3

4

5

6

7

8

9

10

20

30

40

50

60

70

80

90

100

110

120

130

140

150

160

170

180

190

200

225

250

275

300

325

350

400

500

600

700

800

900

1000

 

 

.43

.87

1.30

1.73

2.17

2.60

3.03

3.46

3.90

4.33

8.66

12.99

17.32

21.65

25.99

30.32

34.65

38.98

43.31

47.65

51.97

56.30

60.63

64.96

69.29

73.63

77.96

82.29

86.62

97.45

108.27

119.10

129.93

140.75

151.58

173.24

216.55

259.85

303.16

346.47

389.78

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.

Diameter

Gal. Per

Ft.

Diameter

Gal. Per

Ft.

 

2 in.

3 in.

4 in.

5 in.

6 in.

8 in.

10 in.

12 in.

16 in.

18 in.

20 in.

24 in.

30 in.

36 in.

42 in.

48 in.

54 in.

60 in.

66 in.

72 in.

78 in.

84 in.

90 in.

96 in.

 

 

.16

.37

.65

1.00

1.50

2.60

4.10

5.90

10.40

13.20

16.30

23.50

36.70

52.90

72.00

94.00

119.00

147.00

177.80

211.50

248.20

287.90

330.50

376.00

 

 

8.5 ft.

9 ft.

9.5 ft.

10 ft.

11 ft.

12 ft.

13 ft.

14 ft.

15 ft.

16 ft.

17 ft.

18 ft.

19 ft.

20 ft.

21 ft.

22 ft.

23 ft.

24 ft.

25 ft.

26 ft.

27 ft.

28 ft.

29 ft.

30 ft.

 

424.50

475.90

530.20

587.50

711.00

846.00

993.00

1151.00

1322.00

1504.00

1698.00

1904.00

2121.00

2352.00

2591.00

2845.00

3109.00

3384.00

3672.00

3971.00

4283.00

4606.00

4841.00

5288.00

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:

Copyright © 2015 Water by George

Cell:

 

Postal Address:

PO Box 12699

Lloydminster, AB T9V 0Y4