Output power Calculator

✖Specific weight of fluid in pump is the weight of fluid per unit volume.ⓘ Specific weight of fluid in pump [w]			+10% -10%
✖Actual discharge at centrifugal pump outlet is the actual amount of the liquid outflow from the outlet of the centrifugal pump.ⓘ Actual discharge at centrifugal pump outlet [Q]			+10% -10%
✖The Manometric Head of Centrifugal Pump is the head against which the centrifugal pump has to work.ⓘ Manometric Head of Centrifugal Pump [H_m]			+10% -10%

✖Output Power of Centrifugal Pump is the power available at the output of the centrifugal pump.ⓘ Output power [OP]

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Formula

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Output power

Formula

`"OP" = ("w"*"Q"*"H"_{"m"})/1000`

Example

`"13.89881kW"=("9.81kN/m³"*"0.056m³/s"*"25.3m")/1000`

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Output power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Output Power of Centrifugal Pump = (Specific weight of fluid in pump*Actual discharge at centrifugal pump outlet*Manometric Head of Centrifugal Pump)/1000
OP = (w*Q*H_m)/1000
This formula uses 4 Variables

Variables Used

Output Power of Centrifugal Pump - (Measured in Kilowatt) - Output Power of Centrifugal Pump is the power available at the output of the centrifugal pump.
Specific weight of fluid in pump - (Measured in Newton per Cubic Meter) - Specific weight of fluid in pump is the weight of fluid per unit volume.
Actual discharge at centrifugal pump outlet - (Measured in Cubic Meter per Second) - Actual discharge at centrifugal pump outlet is the actual amount of the liquid outflow from the outlet of the centrifugal pump.
Manometric Head of Centrifugal Pump - (Measured in Meter) - The Manometric Head of Centrifugal Pump is the head against which the centrifugal pump has to work.

STEP 1: Convert Input(s) to Base Unit

Specific weight of fluid in pump: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Actual discharge at centrifugal pump outlet: 0.056 Cubic Meter per Second --> 0.056 Cubic Meter per Second No Conversion Required
Manometric Head of Centrifugal Pump: 25.3 Meter --> 25.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

OP = (w*Q*H_m)/1000 --> (9810*0.056*25.3)/1000

Evaluating ... ...

OP = 13.898808

STEP 3: Convert Result to Output's Unit

13898.808 Watt -->13.898808 Kilowatt (Check conversion here)

FINAL ANSWER

13.898808 ≈ 13.89881 Kilowatt <-- Output Power of Centrifugal Pump

(Calculation completed in 00.020 seconds)

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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National Institute of Technology (NIT), Tiruchirapalli

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< 15 Pump Parameters Calculators

Minimum speed for starting centrifugal pump

Go Minimum Speed for Starting Centrifugal Pump = (120*Manometric Efficiency of Centrifugal Pump*Velocity of Whirl at Outlet*Diameter of centrifugal pump impeller at outlet)/(pi*(Diameter of centrifugal pump impeller at outlet^2-Diameter of centrifugal pump impeller at inlet^2))*((2*pi)/60)

Work done per second when Flow at Inlet is not Radial

Go Work Done by Pump per Second = (Weight of liquid in pump/[g])*((Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet)-(Velocity of Whirl at Inlet*Tangential Velocity of Impeller at Inlet))

Work done per second per unit weight of liquid if flow at inlet is not radial

Go Work Done by Centrifugal Pump = ((Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet)-(Velocity of Whirl at Inlet*Tangential Velocity of Impeller at Inlet))/[g]

Angular Speed given Specific Speed of Pump

Go Angular velocity of centrifugal pump = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4)))/(sqrt(Actual discharge at centrifugal pump outlet))

Specific Speed of Pump

Go Specific Speed of Centrifugal Pump = (Angular velocity of centrifugal pump*sqrt(Actual discharge at centrifugal pump outlet))/(Manometric Head of Centrifugal Pump^(3/4))

Suction specific speed

Go Suction Specific Speed = (Angular velocity of centrifugal pump*sqrt(Actual discharge at centrifugal pump outlet))/((Net Positive Suction Head of Centrifugal Pump)^(3/4))

Head of Pump given Specific Speed

Go Manometric Head of Centrifugal Pump = (Angular velocity of centrifugal pump*sqrt(Actual discharge at centrifugal pump outlet)/Specific Speed of Centrifugal Pump)^(4/3)

Volumetric Efficiency of Pump given Discharge and Leakage of Liquid

Go Volumetric efficiency of centrifugal pump = Actual discharge at centrifugal pump outlet/(Actual discharge at centrifugal pump outlet+Leakage of Liquid from Impeller)

Discharge of pump given specific speed

Go Actual discharge at centrifugal pump outlet = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4))/Angular velocity of centrifugal pump)^2

Work done per second for Centrifugal pumps

Go Work Done by Pump per Second = (Weight of liquid in pump/[g])*Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet

Output power

Go Output Power of Centrifugal Pump = (Specific weight of fluid in pump*Actual discharge at centrifugal pump outlet*Manometric Head of Centrifugal Pump)/1000

Static power

Go Static power of centrifugal pump = (Specific weight of fluid in pump*Actual discharge at centrifugal pump outlet*Static Head of Centrifugal Pump)/1000

Work done per second per unit weight of liquid

Go Work Done by Centrifugal Pump = (Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet)/[g]

Work done per second given Torque

Go Work Done by Pump per Second = Torque at Centrifugal Pump Outlet*Angular velocity of centrifugal pump

Angular Velocity of Centrifugal Pump

Go Angular Velocity = (2*pi*Speed of Impeller in RPM)/60

Output power Formula

Output Power of Centrifugal Pump = (Specific weight of fluid in pump*Actual discharge at centrifugal pump outlet*Manometric Head of Centrifugal Pump)/1000
OP = (w*Q*H_m)/1000

What is centrifugal pump power?

The work performed by a centrifugal pump is a function of the total head and the weight of the liquid pumped in a given time period.

How to Calculate Output power?

Output power calculator uses Output Power of Centrifugal Pump = (Specific weight of fluid in pump*Actual discharge at centrifugal pump outlet*Manometric Head of Centrifugal Pump)/1000 to calculate the Output Power of Centrifugal Pump, The Output power formula is defined as the product of specific weight, discharge and manometric head divided by 1000. Output Power of Centrifugal Pump is denoted by OP symbol.

How to calculate Output power using this online calculator? To use this online calculator for Output power, enter Specific weight of fluid in pump (w), Actual discharge at centrifugal pump outlet (Q) & Manometric Head of Centrifugal Pump (H_m) and hit the calculate button. Here is how the Output power calculation can be explained with given input values -> 0.013899 = (9810*0.056*25.3)/1000.

FAQ

What is Output power?

The Output power formula is defined as the product of specific weight, discharge and manometric head divided by 1000 and is represented as OP = (w*Q*H_m)/1000 or Output Power of Centrifugal Pump = (Specific weight of fluid in pump*Actual discharge at centrifugal pump outlet*Manometric Head of Centrifugal Pump)/1000. Specific weight of fluid in pump is the weight of fluid per unit volume, Actual discharge at centrifugal pump outlet is the actual amount of the liquid outflow from the outlet of the centrifugal pump & The Manometric Head of Centrifugal Pump is the head against which the centrifugal pump has to work.

How to calculate Output power?

The Output power formula is defined as the product of specific weight, discharge and manometric head divided by 1000 is calculated using Output Power of Centrifugal Pump = (Specific weight of fluid in pump*Actual discharge at centrifugal pump outlet*Manometric Head of Centrifugal Pump)/1000. To calculate Output power, you need Specific weight of fluid in pump (w), Actual discharge at centrifugal pump outlet (Q) & Manometric Head of Centrifugal Pump (H_m). With our tool, you need to enter the respective value for Specific weight of fluid in pump, Actual discharge at centrifugal pump outlet & Manometric Head of Centrifugal Pump and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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