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Speed of Turbine given Unit Speed Calculator

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

✖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.ⓘ Speed of Turbine given Unit Speed [N]

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Speed of Turbine given Unit Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Working Speed = Unit Speed*sqrt(Fall Height)
N = N_u*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

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

Unit Speed: 2.31 --> No Conversion Required
Fall Height: 250 Meter --> 250 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = N_u*sqrt(H) --> 2.31*sqrt(250)

Evaluating ... ...

N = 36.5243069749448

STEP 3: Convert Result to Output's Unit

36.5243069749448 Radian per Second -->348.781439901856 Revolution per Minute (Check conversion here)

FINAL ANSWER

348.781439901856 ≈ 348.7814 Revolution per Minute <-- Working Speed

(Calculation completed in 00.004 seconds)

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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

Speed of Turbine given Unit Speed Formula

LaTeX Go

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

What is the range of speed of Hydro Power Plant?

Most hydro power plants use either Francis, Kaplan, or Pelton turbines, each of which has a different operating range. Generally speaking, Francis turbines operate at speeds between 100 and 600 revolutions per minute (rpm), while Kaplan turbines operate at speeds between 100 and 250 rpm. Pelton turbines, on the other hand, operate at much higher speeds, typically between 500 and 1,500 rpm.

How to Calculate Speed of Turbine given Unit Speed?

Speed of Turbine given Unit Speed calculator uses Working Speed = Unit Speed*sqrt(Fall Height) to calculate the Working Speed, The Speed of Turbine given Unit Speed formula is defined as rotational velocity of the turbine. Working Speed is denoted by N symbol.

How to calculate Speed of Turbine given Unit Speed using this online calculator? To use this online calculator for Speed of Turbine given Unit Speed, enter Unit Speed (N_u) & Fall Height (H) and hit the calculate button. Here is how the Speed of Turbine given Unit Speed calculation can be explained with given input values -> 3330.617 = 2.31*sqrt(250).

FAQ

What is Speed of Turbine given Unit Speed?

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

The Speed of Turbine given Unit Speed formula is defined as rotational velocity of the turbine is calculated using Working Speed = Unit Speed*sqrt(Fall Height). To calculate Speed of Turbine given Unit Speed, you need Unit Speed (N_u) & Fall Height (H). With our tool, you need to enter the respective value for Unit 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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