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Unit Speed of Turbine Formula

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Unit speed is defined as the speed of a geometrically similar turbine working under a head of 1m. Check FAQs

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

N_u - Unit Speed?N - Working Speed?H - Fall Height?

Unit Speed of Turbine Example

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With units

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Here is how the Unit Speed of Turbine equation looks like with Values.

Here is how the Unit Speed of Turbine equation looks like with Units.

Here is how the Unit Speed of Turbine equation looks like.

2.3181 = \frac{350}{\sqrt{250}}

2.3181 = \frac{350rev/min}{\sqrt{250m}}

2.3181 = \frac{350}{\sqrt{250}}

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Unit Speed of Turbine Solution

Follow our step by step solution on how to calculate Unit Speed of Turbine?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N u = \frac{350rev/min}{\sqrt{250m}}

Next Step Convert Units

∴

N u = \frac{36.6519rad/s}{\sqrt{250m}}

Next Step Prepare to Evaluate

∴

N u = \frac{36.6519}{\sqrt{250}}

Next Step Evaluate

∴

N u = 2.31807059523438

LAST Step Rounding Answer

∴

N u = 2.3181

Unit Speed of Turbine Formula Elements

Variables

Functions

Unit Speed

Unit speed is defined as the speed of a geometrically similar turbine working under a head of 1m.

Symbol: N_u

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Unit Speed

Working Speed

Working speed of a hydroelectric plant depends on various factors such as the design of the plant, the type of turbines used, the head and flow rate of water, and the desired electrical output.

Symbol: N

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Working Speed

Fall Height

Fall height, is an important factor in hydroelectric power generation. It refers to the vertical distance that the water falls from the intake point to the turbine.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Fall Height

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 Hydroelectric Power Plant category

Go Energy Produced by Hydroelectric Power Plant

E = [g] \cdot ρ w \cdot Q \cdot H \cdot η \cdot t

Go Energy Produced by Hydroelectric Power Plant given Power

E = P h \cdot η \cdot t

Go Head or Height of Fall of Water given Power

H = \frac{P h}{[g] \cdot ρ w \cdot Q}

Go Flow Rate of Water given Power

Q = \frac{P h}{[g] \cdot ρ w \cdot H}

How to Evaluate Unit Speed of Turbine?

Unit Speed of Turbine evaluator uses Unit Speed = (Working Speed)/sqrt(Fall Height) to evaluate the Unit Speed, The Unit Speed of Turbine formula is defined as the speed of a geometrically similar turbine working under a head of 1m. Unit Speed is denoted by N_u symbol.

How to evaluate Unit Speed of Turbine using this online evaluator? To use this online evaluator for Unit Speed of Turbine, enter Working Speed (N) & Fall Height (H) and hit the calculate button.

FAQs on Unit Speed of Turbine

What is the formula to find Unit Speed of Turbine?

The formula of Unit Speed of Turbine is expressed as Unit Speed = (Working Speed)/sqrt(Fall Height). Here is an example- 2.318071 = (36.6519142900145)/sqrt(250).

How to calculate Unit Speed of Turbine?

With Working Speed (N) & Fall Height (H) we can find Unit Speed of Turbine using the formula - Unit Speed = (Working Speed)/sqrt(Fall Height). This formula also uses Square Root (sqrt) function(s).

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Unit Speed of Turbine Formula

Unit Speed of Turbine Example

Unit Speed of Turbine Solution

Unit Speed of Turbine Formula Elements

Other formulas in Hydroelectric Power Plant category

How to Evaluate Unit Speed of Turbine?

FAQs on Unit Speed of Turbine

Variable Name