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Angular Speed given Specific Speed of Pump Formula

GoAngular Velocity of Centrifugal Pump Formula

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The Angular Velocity of Centrifugal Pump refers to how fast the pump impeller rotates. Check FAQs

ω = \frac{N s \cdot ({H m}^{\frac{3}{4}})}{\sqrt{Q}}

ω - Angular Velocity?N_s - Specific Speed of Centrifugal Pump?H_m - Manometric Head of Centrifugal Pump?Q - Actual Discharge at Centrifugal Pump Outlet?

Angular Speed given Specific Speed of Pump Example

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Here is how the Angular Speed given Specific Speed of Pump equation looks like with Values.

Here is how the Angular Speed given Specific Speed of Pump equation looks like with Units.

Here is how the Angular Speed given Specific Speed of Pump equation looks like.

178.763 = \frac{3.75 \cdot ({25.3}^{\frac{3}{4}})}{\sqrt{0.056}}

178.763rad/s = \frac{3.75rad/s \cdot ({25.3m}^{\frac{3}{4}})}{\sqrt{0.056m³/s}}

178.763 = \frac{3.75 \cdot ({25.3}^{\frac{3}{4}})}{\sqrt{0.056}}

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Angular Speed given Specific Speed of Pump Solution

Follow our step by step solution on how to calculate Angular Speed given Specific Speed of Pump?

FIRST Step Consider the formula

ω = \frac{N s \cdot ({H m}^{\frac{3}{4}})}{\sqrt{Q}}

Next Step Substitute values of Variables

∴

ω = \frac{3.75rad/s \cdot ({25.3m}^{\frac{3}{4}})}{\sqrt{0.056m³/s}}

Next Step Prepare to Evaluate

∴

ω = \frac{3.75 \cdot ({25.3}^{\frac{3}{4}})}{\sqrt{0.056}}

Next Step Evaluate

∴

ω = 178.763004416085rad/s

LAST Step Rounding Answer

∴

ω = 178.763rad/s

Angular Speed given Specific Speed of Pump Formula Elements

Variables

Functions

Angular Velocity

The Angular Velocity of Centrifugal Pump refers to how fast the pump impeller rotates.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Velocity

Specific Speed of Centrifugal Pump

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.

Symbol: N_s

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Specific Speed of Centrifugal Pump

Manometric Head of Centrifugal Pump

The Manometric Head of Centrifugal Pump is the head against which the centrifugal pump has to work.

Symbol: H_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Manometric Head of Centrifugal Pump

Actual Discharge at Centrifugal Pump Outlet

Actual discharge at centrifugal pump outlet is the actual amount of the liquid outflow from the outlet of the centrifugal pump.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Actual Discharge at Centrifugal Pump Outlet

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.

Syntax: sqrt(Number)

Other Formulas to find Angular Velocity

Go Angular Velocity of Centrifugal Pump

ω = \frac{2 \cdot π \cdot N r}{60}

Other formulas in Pump Parameters category

Go Minimum speed for starting centrifugal pump

N min = \frac{120 \cdot η m \cdot V w2 \cdot D 2}{π \cdot ({D 2}^{2} - {D 1}^{2})} \cdot (\frac{2 \cdot π}{60})

Go Volumetric Efficiency of Pump given Discharge and Leakage of Liquid

η vol = \frac{Q}{Q + q}

Go Output power

OP = \frac{w \cdot Q \cdot H m}{1000}

Go Static power

P = \frac{w \cdot Q \cdot H st}{1000}

How to Evaluate Angular Speed given Specific Speed of Pump?

Angular Speed given Specific Speed of Pump evaluator uses Angular Velocity = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4)))/(sqrt(Actual Discharge at Centrifugal Pump Outlet)) to evaluate 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 evaluate Angular Speed given Specific Speed of Pump using this online evaluator? To use this online evaluator 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.

FAQs on Angular Speed given Specific Speed of Pump

What is the formula to find Angular Speed given Specific Speed of Pump?

The formula of Angular Speed given Specific Speed of Pump is expressed as Angular Velocity = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4)))/(sqrt(Actual Discharge at Centrifugal Pump Outlet)). Here is an example- 178.763 = (3.75*(25.3^(3/4)))/(sqrt(0.056)).

How to calculate Angular Speed given Specific Speed of Pump?

With Specific Speed of Centrifugal Pump (N_s), Manometric Head of Centrifugal Pump (H_m) & Actual Discharge at Centrifugal Pump Outlet (Q) we can find Angular Speed given Specific Speed of Pump using the formula - Angular Velocity = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4)))/(sqrt(Actual Discharge at Centrifugal Pump Outlet)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Angular Velocity?

Here are the different ways to Calculate Angular Velocity-

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

Can the Angular Speed given Specific Speed of Pump be negative?

No, the Angular Speed given Specific Speed of Pump, measured in Angular Velocity cannot be negative.

Which unit is used to measure Angular Speed given Specific Speed of Pump?

Angular Speed given Specific Speed of Pump is usually measured using the Radian per Second[rad/s] for Angular Velocity. Radian per Day[rad/s], Radian per Hour[rad/s], Radian per Minute[rad/s] are the few other units in which Angular Speed given Specific Speed of Pump can be measured.

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Angular Speed given Specific Speed of Pump Formula

​GoAngular Velocity of Centrifugal Pump Formula

Angular Speed given Specific Speed of Pump Example

Angular Speed given Specific Speed of Pump Solution

Angular Speed given Specific Speed of Pump Formula Elements

Other Formulas to find Angular Velocity

Other formulas in Pump Parameters category

How to Evaluate Angular Speed given Specific Speed of Pump?

FAQs on Angular Speed given Specific Speed of Pump

Variable Name

GoAngular Velocity of Centrifugal Pump Formula