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Angular Speed of Turbine given Specific Speed Formula

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Speed of Turbine is the angular velocity of the rotation of the turbine. Check FAQs

N = \frac{N s \cdot {H eff}^{\frac{5}{4}}}{\sqrt{P}}

N - Speed of Turbine?N_s - Specific Speed of Turbine?H_eff - Effective Head of Turbine?P - Power Output of Turbine?

Angular Speed of Turbine given Specific Speed Example

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

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

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

199.9259 = \frac{159.4 \cdot 25^{\frac{5}{4}}}{\sqrt{1986.5}}

199.9259rev/min = \frac{159.4rev/min \cdot {25m}^{\frac{5}{4}}}{\sqrt{1986.5kW}}

199.9259 = \frac{159.4 \cdot 25^{\frac{5}{4}}}{\sqrt{1986.5}}

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Angular Speed of Turbine given Specific Speed Solution

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

FIRST Step Consider the formula

N = \frac{N s \cdot {H eff}^{\frac{5}{4}}}{\sqrt{P}}

Next Step Substitute values of Variables

∴

N = \frac{159.4rev/min \cdot {25m}^{\frac{5}{4}}}{\sqrt{1986.5kW}}

Next Step Prepare to Evaluate

∴

N = \frac{159.4 \cdot 25^{\frac{5}{4}}}{\sqrt{1986.5}}

Next Step Evaluate

∴

N = 20.9361904917212rad/s

Next Step Convert to Output's Unit

∴

N = 199.925892386439rev/min

LAST Step Rounding Answer

∴

N = 199.9259rev/min

Angular Speed of Turbine given Specific Speed Formula Elements

Variables

Functions

Speed of Turbine

Speed of Turbine is the angular velocity of the rotation of the turbine.

Symbol: N

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Speed of Turbine

Specific Speed of Turbine

Specific Speed of Turbine is the speed which produces 1KW of power under 1m head.

Symbol: N_s

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Specific Speed of Turbine

Effective Head of Turbine

Effective Head of Turbine is the net or the effective head of the turbine. It is the height difference between where the water enters the hydro system and where it leaves it.

Symbol: H_eff

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Effective Head of Turbine

Power Output of Turbine

The Power Output of Turbine is the amount of energy transferred in unit time by the turbine.

Symbol: P

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Power Output of Turbine

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 in Hydraulic Turbines category

Go Specific Speed of Turbine

N s = \frac{N \cdot \sqrt{P}}{{H eff}^{\frac{5}{4}}}

Go Unit flow per discharge

Q u = \frac{Q h}{\sqrt{H eff}}

Go Unit speed of turbomachine

N u = \frac{N}{\sqrt{H eff}}

Go Unit power

P u = \frac{P}{{(\sqrt{H eff})}^{3}}

How to Evaluate Angular Speed of Turbine given Specific Speed?

Angular Speed of Turbine given Specific Speed evaluator uses Speed of Turbine = (Specific Speed of Turbine*Effective Head of Turbine^(5/4))/sqrt(Power Output of Turbine) to evaluate the Speed of Turbine, The Angular speed of turbine given specific speed formula is defined as the rate of change of angular displacement of turbine. Speed of Turbine is denoted by N symbol.

How to evaluate Angular Speed of Turbine given Specific Speed using this online evaluator? To use this online evaluator for Angular Speed of Turbine given Specific Speed, enter Specific Speed of Turbine (N_s), Effective Head of Turbine (H_eff) & Power Output of Turbine (P) and hit the calculate button.

FAQs on Angular Speed of Turbine given Specific Speed

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

The formula of Angular Speed of Turbine given Specific Speed is expressed as Speed of Turbine = (Specific Speed of Turbine*Effective Head of Turbine^(5/4))/sqrt(Power Output of Turbine). Here is an example- 1909.152 = (16.6923289652237*25^(5/4))/sqrt(1986500).

How to calculate Angular Speed of Turbine given Specific Speed?

With Specific Speed of Turbine (N_s), Effective Head of Turbine (H_eff) & Power Output of Turbine (P) we can find Angular Speed of Turbine given Specific Speed using the formula - Speed of Turbine = (Specific Speed of Turbine*Effective Head of Turbine^(5/4))/sqrt(Power Output of Turbine). This formula also uses Square Root (sqrt) function(s).

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

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

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

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

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Angular Speed of Turbine given Specific Speed Formula

Angular Speed of Turbine given Specific Speed Example

Angular Speed of Turbine given Specific Speed Solution

Angular Speed of Turbine given Specific Speed Formula Elements

Other formulas in Hydraulic Turbines category

How to Evaluate Angular Speed of Turbine given Specific Speed?

FAQs on Angular Speed of Turbine given Specific Speed

Variable Name