Angular Speed of Turbine given Specific Speed Calculator

✖Specific Speed of Turbine is the speed which produces 1KW of power under 1m head.ⓘ Specific Speed of Turbine [N_s]			+10% -10%
✖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.ⓘ Effective Head of Turbine [H_eff]			+10% -10%
✖The Power Output of Turbine is the amount of energy transferred in unit time by the turbine.ⓘ Power Output of Turbine [P]			+10% -10%

✖Speed of Turbine is the angular velocity of the rotation of the turbine.ⓘ Angular Speed of Turbine given Specific Speed [N]

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Formula

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Angular Speed of Turbine given Specific Speed

Formula

`"N" = ("N"_{"s"}*"H"_{"eff"}^(5/4))/sqrt("P")`

Example

`"199.9259rev/min"=("159.4rev/min"*("25m")^(5/4))/sqrt("1986.5kW")`

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Angular Speed of Turbine given Specific Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Speed of Turbine = (Specific Speed of Turbine*Effective Head of Turbine^(5/4))/sqrt(Power Output of Turbine)
N = (N_s*H_eff^(5/4))/sqrt(P)
This formula uses 1 Functions, 4 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

Speed of Turbine - (Measured in Revolution per Minute) - Speed of Turbine is the angular velocity of the rotation of the turbine.
Specific Speed of Turbine - (Measured in Revolution per Minute) - Specific Speed of Turbine is the speed which produces 1KW of power under 1m head.
Effective Head of Turbine - (Measured in Meter) - 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.
Power Output of Turbine - (Measured in Kilowatt) - The Power Output of Turbine is the amount of energy transferred in unit time by the turbine.

STEP 1: Convert Input(s) to Base Unit

Specific Speed of Turbine: 159.4 Revolution per Minute --> 159.4 Revolution per Minute No Conversion Required
Effective Head of Turbine: 25 Meter --> 25 Meter No Conversion Required
Power Output of Turbine: 1986.5 Kilowatt --> 1986.5 Kilowatt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (N_s*H_eff^(5/4))/sqrt(P) --> (159.4*25^(5/4))/sqrt(1986.5)

Evaluating ... ...

N = 199.925892386439

STEP 3: Convert Result to Output's Unit

20.9361904917212 Radian per Second -->199.925892386439 Revolution per Minute (Check conversion here)

FINAL ANSWER

199.925892386439 ≈ 199.9259 Revolution per Minute <-- Speed of Turbine

(Calculation completed in 00.004 seconds)

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< 7 Hydraulic Turbines Calculators

Head of turbine given specific speed

Go Effective Head of Turbine = ((Speed of Turbine*sqrt(Power Output of Turbine))/Specific Speed of Turbine)^(4/5)

Specific Speed of Turbine

Go Specific Speed of Turbine = (Speed of Turbine*sqrt(Power Output of Turbine))/(Effective Head of Turbine^(5/4))

Angular Speed of Turbine given Specific Speed

Go Speed of Turbine = (Specific Speed of Turbine*Effective Head of Turbine^(5/4))/sqrt(Power Output of Turbine)

Power of Turbine given Specific Speed

Go Power Output of Turbine = ((Specific Speed of Turbine*Effective Head of Turbine^(5/4))/Speed of Turbine)^2

Unit flow per discharge

Go Unit Discharge for Hydraulic Turbine = Discharge for Hydraulic Turbine/sqrt(Effective Head of Turbine)

Unit power

Go Unit Power of Turbine = Power Output of Turbine/((sqrt(Effective Head of Turbine))^3)

Unit speed of turbomachine

Go Unit Speed of Turbine = Speed of Turbine/sqrt(Effective Head of Turbine)

Angular Speed of Turbine given Specific Speed Formula

Speed of Turbine = (Specific Speed of Turbine*Effective Head of Turbine^(5/4))/sqrt(Power Output of Turbine)
N = (N_s*H_eff^(5/4))/sqrt(P)

What is specific speed?

The specific speed of a turbine is defined as the speed of a geometrically similar turbine that would produce 1kW of power under 1m head.

How to Calculate Angular Speed of Turbine given Specific Speed?

Angular Speed of Turbine given Specific Speed calculator uses Speed of Turbine = (Specific Speed of Turbine*Effective Head of Turbine^(5/4))/sqrt(Power Output of Turbine) to calculate 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 calculate Angular Speed of Turbine given Specific Speed using this online calculator? To use this online calculator 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. Here is how the Angular Speed of Turbine given Specific Speed calculation can be explained with given input values -> 1909.152 = (16.6923289652237*25^(5/4))/sqrt(1986500).

FAQ

What is Angular Speed of Turbine given Specific Speed?

The Angular speed of turbine given specific speed formula is defined as the rate of change of angular displacement of turbine and is represented as N = (N_s*H_eff^(5/4))/sqrt(P) or Speed of Turbine = (Specific Speed of Turbine*Effective Head of Turbine^(5/4))/sqrt(Power Output of Turbine). Specific Speed of Turbine is the speed which produces 1KW of power under 1m head, 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 & The Power Output of Turbine is the amount of energy transferred in unit time by the turbine.

How to calculate Angular Speed of Turbine given Specific Speed?

The Angular speed of turbine given specific speed formula is defined as the rate of change of angular displacement of turbine is calculated using Speed of Turbine = (Specific Speed of Turbine*Effective Head of Turbine^(5/4))/sqrt(Power Output of Turbine). To calculate Angular Speed of Turbine given Specific Speed, you need Specific Speed of Turbine (N_s), Effective Head of Turbine (H_eff) & Power Output of Turbine (P). With our tool, you need to enter the respective value for Specific Speed of Turbine, Effective Head of Turbine & Power Output of Turbine 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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