Unit power Calculator

✖The Power Output of Turbine is the amount of energy transferred in unit time by the turbine.ⓘ Power Output of Turbine [P]			+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%

✖Unit Power of Turbine is the hypothetical power developed by a turbine under a head of 1m.ⓘ Unit power [P_u]

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Formula

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Unit power

Formula

`"P"_{"u"} = "P"/((sqrt("H"_{"eff"}))^3)`

Example

`"15.892kW"="1986.5kW"/((sqrt("25m"))^3)`

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Unit power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Power of Turbine = Power Output of Turbine/((sqrt(Effective Head of Turbine))^3)
P_u = P/((sqrt(H_eff))^3)
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 Power of Turbine - (Measured in Watt) - Unit Power of Turbine is the hypothetical power developed by a turbine under a head of 1m.
Power Output of Turbine - (Measured in Watt) - The Power Output of Turbine is the amount of energy transferred in unit time by the turbine.
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.

STEP 1: Convert Input(s) to Base Unit

Power Output of Turbine: 1986.5 Kilowatt --> 1986500 Watt (Check conversion here)
Effective Head of Turbine: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_u = P/((sqrt(H_eff))^3) --> 1986500/((sqrt(25))^3)

Evaluating ... ...

P_u = 15892

STEP 3: Convert Result to Output's Unit

15892 Watt -->15.892 Kilowatt (Check conversion here)

FINAL ANSWER

15.892 Kilowatt <-- Unit Power of Turbine

(Calculation completed in 00.004 seconds)

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has created this Calculator and 200+ more calculators!

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Institute of Aeronautical Engineering (IARE), Hyderabad

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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)

Unit power Formula

Unit Power of Turbine = Power Output of Turbine/((sqrt(Effective Head of Turbine))^3)
P_u = P/((sqrt(H_eff))^3)

What is unit power?

The Unit power is defined as the power developed by the turbomachine while working under a head of one meter.

How to Calculate Unit power?

Unit power calculator uses Unit Power of Turbine = Power Output of Turbine/((sqrt(Effective Head of Turbine))^3) to calculate the Unit Power of Turbine, The Unit power formula is defined as the ratio of power developed to the head raised to the power of 3/2. Unit Power of Turbine is denoted by P_u symbol.

How to calculate Unit power using this online calculator? To use this online calculator for Unit power, enter Power Output of Turbine (P) & Effective Head of Turbine (H_eff) and hit the calculate button. Here is how the Unit power calculation can be explained with given input values -> 0.015892 = 1986500/((sqrt(25))^3).

FAQ

What is Unit power?

The Unit power formula is defined as the ratio of power developed to the head raised to the power of 3/2 and is represented as P_u = P/((sqrt(H_eff))^3) or Unit Power of Turbine = Power Output of Turbine/((sqrt(Effective Head of Turbine))^3). The Power Output of Turbine is the amount of energy transferred in unit time by the 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.

How to calculate Unit power?

The Unit power formula is defined as the ratio of power developed to the head raised to the power of 3/2 is calculated using Unit Power of Turbine = Power Output of Turbine/((sqrt(Effective Head of Turbine))^3). To calculate Unit power, you need Power Output of Turbine (P) & Effective Head of Turbine (H_eff). With our tool, you need to enter the respective value for Power Output of Turbine & Effective Head 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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