HCF of three numbers

Unit Speed of Turbine Calculator

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✖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.ⓘ Working Speed [N]			+10% -10%
✖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.ⓘ Fall Height [H]			+10% -10%

✖Unit speed is defined as the speed of a geometrically similar turbine working under a head of 1m.ⓘ Unit Speed of Turbine [N_u]

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Unit Speed of Turbine Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Speed = (Working Speed)/sqrt(Fall Height)
N_u = (N)/sqrt(H)
This formula uses 1 Functions, 3 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

Unit Speed - Unit speed is defined as the speed of a geometrically similar turbine working under a head of 1m.
Working Speed - (Measured in Radian per Second) - 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.
Fall Height - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Working Speed: 350 Revolution per Minute --> 36.6519142900145 Radian per Second (Check conversion here)
Fall Height: 250 Meter --> 250 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_u = (N)/sqrt(H) --> (36.6519142900145)/sqrt(250)

Evaluating ... ...

N_u = 2.31807059523438

STEP 3: Convert Result to Output's Unit

2.31807059523438 --> No Conversion Required

FINAL ANSWER

2.31807059523438 ≈ 2.318071 <-- Unit Speed

(Calculation completed in 00.004 seconds)

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Indian Institute of Technology,Roorlee (IITR), Roorkee

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< Hydroelectric Power Plant Calculators

Energy Produced by Hydroelectric Power Plant

LaTeX Go Energy = [g]*Water Density*Flow Rate*Fall Height*Turbine Efficiency*Operating Time per Year

Head or Height of Fall of Water given Power

LaTeX Go Fall Height = Hydroelectric Power/([g]*Water Density*Flow Rate)

Flow Rate of Water given Power

LaTeX Go Flow Rate = Hydroelectric Power/([g]*Water Density*Fall Height)

Energy Produced by Hydroelectric Power Plant given Power

LaTeX Go Energy = Hydroelectric Power*Turbine Efficiency*Operating Time per Year

Unit Speed of Turbine Formula

LaTeX Go

Unit Speed = (Working Speed)/sqrt(Fall Height)
N_u = (N)/sqrt(H)

What is the working principle of Hydro Power Plant?

Hydro power plants use falling water to turn a turbine, which is connected to a generator that produces electricity. Water is stored in a reservoir, flows through a penstock, and drives the turbine, with the spinning turbine shaft connected to a generator that produces electricity.

How to Calculate Unit Speed of Turbine?

Unit Speed of Turbine calculator uses Unit Speed = (Working Speed)/sqrt(Fall Height) to calculate 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 calculate Unit Speed of Turbine using this online calculator? To use this online calculator for Unit Speed of Turbine, enter Working Speed (N) & Fall Height (H) and hit the calculate button. Here is how the Unit Speed of Turbine calculation can be explained with given input values -> 2.318071 = (36.6519142900145)/sqrt(250).

FAQ

What is Unit Speed of Turbine?

The Unit Speed of Turbine formula is defined as the speed of a geometrically similar turbine working under a head of 1m and is represented as N_u = (N)/sqrt(H) or Unit Speed = (Working Speed)/sqrt(Fall Height). 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 & 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.

How to calculate Unit Speed of Turbine?

The Unit Speed of Turbine formula is defined as the speed of a geometrically similar turbine working under a head of 1m is calculated using Unit Speed = (Working Speed)/sqrt(Fall Height). To calculate Unit Speed of Turbine, you need Working Speed (N) & Fall Height (H). With our tool, you need to enter the respective value for Working Speed & Fall Height 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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