Angular Speed given Specific Speed of Pump Calculator

✖The Specific Speed of Centrifugal Pump is defined as the speed of a geometrically similar pump that would deliver one cubic meter of liquid per second against a head of one meter.ⓘ Specific Speed of Centrifugal Pump [N_s]			+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%
✖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 Angular Velocity of Centrifugal Pump refers to how fast the pump impeller rotates.ⓘ Angular Speed given Specific Speed of Pump [ω]

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Angular Speed given Specific Speed of Pump Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Velocity = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4)))/(sqrt(Actual Discharge at Centrifugal Pump Outlet))
ω = (N_s*(H_m^(3/4)))/(sqrt(Q))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Angular Velocity - (Measured in Radian per Second) - The Angular Velocity of Centrifugal Pump refers to how fast the pump impeller rotates.
Specific Speed of Centrifugal Pump - (Measured in Radian per Second) - The Specific Speed of Centrifugal Pump is defined as the speed of a geometrically similar pump that would deliver one cubic meter of liquid per second against a head of one meter.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Specific Speed of Centrifugal Pump: 3.75 Radian per Second --> 3.75 Radian per Second No Conversion Required
Manometric Head of Centrifugal Pump: 25.3 Meter --> 25.3 Meter No Conversion Required
Actual Discharge at Centrifugal Pump Outlet: 0.056 Cubic Meter per Second --> 0.056 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = (N_s*(H_m^(3/4)))/(sqrt(Q)) --> (3.75*(25.3^(3/4)))/(sqrt(0.056))

Evaluating ... ...

ω = 178.763004416085

STEP 3: Convert Result to Output's Unit

178.763004416085 Radian per Second --> No Conversion Required

FINAL ANSWER

178.763004416085 ≈ 178.763 Radian per Second <-- Angular Velocity

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Centrifugal Pumps » Mechanical » Pump Parameters » Angular Speed given Specific Speed of Pump

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< Pump Parameters Calculators

Minimum speed for starting centrifugal pump

LaTeX 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)

Volumetric Efficiency of Pump given Discharge and Leakage of Liquid

LaTeX Go Volumetric Efficiency of Centrifugal Pump = Actual Discharge at Centrifugal Pump Outlet/(Actual Discharge at Centrifugal Pump Outlet+Leakage of Liquid from Impeller)

Output power

LaTeX Go Output Power of Centrifugal Pump = (Specific Weight of Fluid in Pump*Actual Discharge at Centrifugal Pump Outlet*Manometric Head of Centrifugal Pump)/1000

Angular Velocity of Centrifugal Pump

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

Angular Speed given Specific Speed of Pump Formula

LaTeX Go

Angular Velocity = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4)))/(sqrt(Actual Discharge at Centrifugal Pump Outlet))
ω = (N_s*(H_m^(3/4)))/(sqrt(Q))

What is specific speed of a pump?

The specific speed of a pump is defined as the speed of a geometrically similar pump which would deliver unit quantity (one cubic meter of liquid per second) against a unit head(one meter). It is denoted by Ns. The specific speed is a characteristic of pumps which can be used as a basis for comparing the performance of different pumps.

How to Calculate Angular Speed given Specific Speed of Pump?

Angular Speed given Specific Speed of Pump calculator uses Angular Velocity = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4)))/(sqrt(Actual Discharge at Centrifugal Pump Outlet)) to calculate the Angular Velocity, Angular Speed given Specific Speed of Pump formula is defined as a measure of the rotational speed of a pump, which is a critical parameter in pump design and operation, characterizing the pump's ability to transfer energy to the fluid being pumped. Angular Velocity is denoted by ω symbol.

How to calculate Angular Speed given Specific Speed of Pump using this online calculator? To use this online calculator for Angular Speed given Specific Speed of Pump, enter Specific Speed of Centrifugal Pump (N_s), Manometric Head of Centrifugal Pump (H_m) & Actual Discharge at Centrifugal Pump Outlet (Q) and hit the calculate button. Here is how the Angular Speed given Specific Speed of Pump calculation can be explained with given input values -> 178.763 = (3.75*(25.3^(3/4)))/(sqrt(0.056)).

FAQ

What is Angular Speed given Specific Speed of Pump?

Angular Speed given Specific Speed of Pump formula is defined as a measure of the rotational speed of a pump, which is a critical parameter in pump design and operation, characterizing the pump's ability to transfer energy to the fluid being pumped and is represented as ω = (N_s*(H_m^(3/4)))/(sqrt(Q)) or Angular Velocity = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4)))/(sqrt(Actual Discharge at Centrifugal Pump Outlet)). The Specific Speed of Centrifugal Pump is defined as the speed of a geometrically similar pump that would deliver one cubic meter of liquid per second against a head of one meter, The Manometric Head of Centrifugal Pump is the head against which the centrifugal pump has to work & Actual discharge at centrifugal pump outlet is the actual amount of the liquid outflow from the outlet of the centrifugal pump.

How to calculate Angular Speed given Specific Speed of Pump?

Angular Speed given Specific Speed of Pump formula is defined as a measure of the rotational speed of a pump, which is a critical parameter in pump design and operation, characterizing the pump's ability to transfer energy to the fluid being pumped is calculated using Angular Velocity = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4)))/(sqrt(Actual Discharge at Centrifugal Pump Outlet)). To calculate Angular Speed given Specific Speed of Pump, you need Specific Speed of Centrifugal Pump (N_s), Manometric Head of Centrifugal Pump (H_m) & Actual Discharge at Centrifugal Pump Outlet (Q). With our tool, you need to enter the respective value for Specific Speed of Centrifugal Pump, Manometric Head of Centrifugal Pump & Actual Discharge at Centrifugal Pump Outlet and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Angular Velocity?

In this formula, Angular Velocity uses Specific Speed of Centrifugal Pump, Manometric Head of Centrifugal Pump & Actual Discharge at Centrifugal Pump Outlet. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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