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# Pumping Water - Required Horsepower

## Horsepower required to pump water.

Energy imparted to water by the pump is called water horsepower - and can be calculated as

Pwhp = q h SG / (3960 μ)                            (1)

where

Pwhp = water horsepower (hp)

q = flow (gal/min)

SG = 1 for water Specific Gravity

μ = pump efficiency (decimal value)

Horsepower can also be calculated as:

Pwhp = q dp / (1715 μ)                   (2)

where

Pwhp = water horsepower (hp)

dp = delivered pressure (psi)

#### Example -  Horsepower Required to Pump Water

20 gallons of water per minute is elevated 20 ft. The horsepower required (ex. friction loss in piping and efficiency = 1.0) can be calculated as

Pwhp = (20 gpm) (20 ft) (1) / (3960 (1.0))

= 0.10 hp

Power required to pump water at 60oF with ideal pump efficiency 1.0:

Power Required to Pump Water (hp)
Volume Flow
(gpm)

Height (ft)
51015202530354050
5 0.00631 0.0126 0.0189 0.0253 0.0316 0.0379 0.0442 0.0505 0.0631
10 0.0126 0.0253 0.0379 0.0505 0.0631 0.0758 0.0884 0.101 0.126
15 0.0189 0.0379 0.0568 0.0758 0.0947 0.114 0.133 0.152 0.189
20 0.0253 0.0505 0.0758 0.101 0.126 0.152 0.177 0.202 0.253
25 0.0316 0.0631 0.0947 0.126 0.158 0.189 0.221 0.253 0.316
30 0.0379 0.0758 0.114 0.152 0.189 0.227 0.265 0.303 0.379
35 0.0442 0.0884 0.133 0.177 0.221 0.265 0.309 0.354 0.442
40 0.0505 0.101 0.152 0.202 0.253 0.303 0.354 0.404 0.505
45 0.0568 0.114 0.170 0.227 0.284 0.341 0.398 0.455 0.568
50 0.0631 0.126 0.189 0.253 0.316 0.379 0.442 0.505 0.631
60 0.0758 0.152 0.227 0.303 0.379 0.455 0.530 0.606 0.758
70 0.0884 0.177 0.265 0.354 0.442 0.530 0.619 0.707 0.884
80 0.101 0.202 0.303 0.404 0.505 0.606 0.707 0.808 1.01
90 0.114 0.227 0.341 0.455 0.568 0.682 0.795 0.909 1.14
100 0.126 0.253 0.379 0.505 0.631 0.758 0.884 1.01 1.26

Note! Individual pump curves should always be used for exact calculations.

### Power Consumption in Metric Units

The power consumption for pumping water can be expressed in metric units as

P = q h ρ / (6116 103 μ)                            (3)

where

P = power (kW)

q = flow (liter/min)

ρ = density (kg/m3) (water 1000 kg/m3)

μ = pump efficiency (decimal value)

#### Example - Power Required to Pump Water

The power required to pump 100 l/min water an elevation of 10 m (ex. friction loss in piping and efficiency = 1.0) can be calculated as

P = (100 liter/min) (10 m) (1000 kg/m3) / (6116 103 (1.0))

= 0.16 kW

## Related Topics

• Pumps - Piping systems and pumps - centrifugal pumps, displacement pumps - cavitation, viscosity, head and pressure, power consumption and more.

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Temperature

oC
oF

Length

m
km
in
ft
yards
miles
naut miles

Area

m2
km2
in2
ft2
miles2
acres

Volume

m3
liters
in3
ft3
us gal

Weight

kgf
N
lbf

Velocity

m/s
km/h
ft/min
ft/s
mph
knots

Pressure

Pa (N/m2)
bar
mm H2O
kg/cm2
psi
inches H2O

Flow

m3/s
m3/h
US gpm
cfm

3 30