# Pump Power Calculator, Formula, Example, Calculation

### Pump Power calculator:

Enter the flow, fluid density (available at the bottom), gravity, head and pump efficiency. Then press the calculate button to get the pump power, motor power. Also, you can change the power unit from kW to HP.

By default, we have included the 10m head water pump for the flow of 50 tons per hour. you can get the kW by pressing the calculate button.

Note: 1 m^3/hr = 1 ton.

 Enter rate of Flow: m3/hr Enter Fluid density: kg/m3 Enter Head: m Enter Gravity: m2/s Enter Pump Efficiency: % Result Pump Power: kWHP Result Motor (Shaft) Power:

### Pump Power calculation Formula:

Pump power P(kW) in kilowatts is equal to the product of the rate of flow q(m3/hr) in cubic meter per hour, fluid density ρ(kg/m3) in kilogram per cubic meter, gravity g in m2/s, pump differential h(m) head in meter and the differential pressure p(Pa) in Pascal or N/m2 divided by 36,00,000.

Hence the pump power calculation formula can be written as below,

Pump Power P(kW) = q(m3/hr) x ρ(kg/m3) x g(m2/s) x h(m) x p(Pa) / 3600000.

The same way pump power in horsepower formula can be written as,

Pump Power P(HP) = q(m3/hr) x ρ(kg/m3) x g(m2/s) x h(m) x p(Pa) / 2685600.

Also above pump power is required to lift the liquid to head meters. But for calculating the net suitable motor, you need to calculate the shaft power of the pump.

The shaft power is equal to the pump required power divided by the efficiency.

P(kW -Shaft) = P(kW) / η

Hence the required motor power in kW formula can be written as,

P(kW -motor) = q(m3/hr) x ρ(kg/m3) x g(m2/s) x h(m) x p(Pa) / (3600000 x η)

### Pump power calculation example:

Let we taken a 10-meter height pump needs to lift the water @ 50 m3/hr and the pump efficiency is 67%.

Water density is 1000 kg/m3

Hence the pump required power,

P(kW) = 50 x 1000 x 9.81 x 10 / 3600000

=1.3kW

Required motor power will be

P(kW-motor) = 1.3 / 0.67

= 2.02 kW

Converting it into HP

= 2.02/0/0.746 = 2.7 HP.

Approximately 2.2kW, but we have a standard design of 2.2kW or 3 HP motor can be used for lifting 50 m3/hr water @ 10-meter head.

### Fluid density Chart:

 Fluid Temp. Density Vapour deg. C kg / m3 Pressure kPa. Acetaldehyde 20 788 105 Acetaldehyde 30 748 148 Acetic acid 20 1048 3.3 Acetic acid anhydride 20 1084 1.3 Acetone 20 790 30 Allyl alcohol 20 852 2.4 Allyl alcohol 30 848 4.3 Allyl alcohol 40 844 7.4 Allyl chloride 20 940 30 Aluminium chloride [5% sol] 20 1030 2.4 Aluminium nitrate  [10% sol] 20 1051 2.4 Aluminium sulphate [10% sol] 20 1115 2.4 Amyl acetate 20 885 1.3 Aniline 10 1030 0.5 Aniline 20 1021 0.5 Beer 20 996 2.4 Benzene 20 879 14 Benzene 30 868 20.7 Benzene 40 858 30 Benzene 50 847 42.5 Benzene 60 836 60 Benzyl alcohol 20 1045 0.5 Bromine 20 3120 48 Butyl acetate 20 885 3.3 Butyl alcohol 20 810 5.4 Butyl alcohol 30 803 8.7 Butyric acid n 977 0.5 Butyric acid n 10 967 0.5 Butyric acid n 20 957 0.5 Calcium chloride [25% sol] 20 1227 2.4 Calcium chloride [5% sol] 20 1037 2.4 Carbolic acid 20 1078 Carbolic acid 30 1069 Carbolic acid 40 1059 Carbolic acid 50 1050 Carbon disulphide 1292 22 Carbon disulphide 10 1277 33 Carbon disulphide 20 1262 48 Carbon tetrachloride 20 1595 20.7 Carbon tetrachloride 30 1525 30 Castor oil 20 960 Castor oil 30 955 Castor oil 40 950 Castor oil 50 945 Castor oil 60 940 China wood oil 20 933 China wood oil 30 926 China wood oil 40 918 Chloroform 20 1489 30 Chloroform 30 1471 43 Chloroform 40 1452 62 Chloroform 50 1434 87 Chloroform 60 1415 120 Cotton seed oil 20 926 Cotton seed oil 30 921 Cotton seed oil 40 916 Cyclohexanol 20 952 0.5 Cyclohexanone 20 952 0.5 Cylinder oil 20 940 Dioxan 20 1030 Ethyl acetate 20 905 14 Ethyl alcohol 20 772 9 Ethyl alcohol 30 754 14 Ethyl alcohol 40 737 20.7 Ethyl glycol 20 930 0.5 Ethylene glycol 20 1112 0.5 Ethylene glycol 30 1104 0.5 Formic acid 20 1220 5.4 Formic acid 30 1208 8.7 Fuel oil (El) Extra light 20 850 Fuel oil (l) light 20 910 Fuel oil (m) medium 20 990 Fuel oil (s) heavy 20 990 Furfurol 20 1160 0.5 Furfurol 30 1149 1.5 Gear oil 20 905 Glycerine 20 1261 Heptane 702 0.02 Heptane 10 692 0.03 Heptane 20 682 0.05 Heptane 30 671 0.08 Heptane 40 661 0.1 Hexane 678 0.02 Hexane 10 668 0.03 Hexane 20 658 0.05 Hexane 30 649 0.08 Hexane 40 639 0.1 Kerosine 20 804 0.5 Kerosine 30 780 0.5 Linseed oil 20 920 Machine oil – light 20 900 Machine oil – medium 20 940 Mercury 20 13570 Methyl acetate 20 959 48 Methyl acetate 30 937 68 Methyl acetate 40 916 95 Methyl alcohol 810 13.4 Methyl alcohol 10 801 20 Methyl alcohol 20 792 30 Methyl glycol 20 975 Methylene chloride 20 1326 72 Milk 20 1035 2.4 Nitro benzine 20 1203 0.5 Nonane 733 0.5 Nonane 10 725 0.5 Nonane 20 717 0.5 Nonane 30 709 1.5 Nonane 40 701 2.4 Octane 719 0.5 Octane 10 711 0.5 Octane 20 702 0.5 Octane 30 694 1.5 Octane 40 685 2.4 Oil SAE 10W – 30 20 875 Oil SAE 10W 20 870 Oil SAE 20W – 20 20 885 Oil SAE 30 20 890 Oil SAE 40 20 900 Oil SAE 50 20 902 Olive oil 20 910 Paraffin oil 20 804 0.5 Paraffin oil 30 780 0.5 Pentane 646 32 Pentane 10 636 50 Pentane 20 626 72 Pentane 30 616 101 Phenol 20 1078 0.5 Phenol 30 1069 0.5 Phenol 40 1059 1 Phenol 50 1050 1.6 Propanol 20 804 2.4 Propanol 30 795 4.3 Propanol 40 786 7.4 Propanol 50 777 12.3 Propionic acid 20 990 0.5 Propylene glycol 20 1038 Rapeseed oil 20 920 Sea water 1028 0.6 Sea water 10 1028 1.3 Sea water 100 984 101.3 Sea water 20 1025 2.4 Sea water 30 1023 4.3 Sea water 40 1019 7.4 Sea water 50 1015 12.3 Sea water 60 1010 19.9 Sea water 70 1004 31.2 Sea water 80 998 47.4 Sea water 90 991 70.1 Sodium chloride [25% sol] 20 1190 2.4 Sodium hydroxide [20% sol] 20 1226 2.4 Sodium hydroxide [30% sol] 20 1330 2.4 Soya bean oil 20 926 Styrene 20 926 0.5 Sulphuric acid 20 1839 2.4 Tetrachloroethane 20 1593 1.3 Tetrachloroethylene 20 1621 3.3 Toluene 20 867 5.4 Toluene 30 858 8.7 Toluene 40 849 13 Toluene 50 840 19.5 Toluene 60 831 28 Transformer oil 20 950 Trichloroethylene 20 1463 14 Water 1000 0.6 Water 10 1000 1.3 Water 100 958 101.3 Water 20 998 2.4 Water 30 996 4.3 Water 40 992 7.4 Water 50 988 12.3 Water 60 983 19.9 Water 70 978 31.2 Water 80 972 47.4 Water 90 965 70.1 Xylene-o 20 864 Xylene-o 30 855 Xylene-o 40 847

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