Unit power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Unit Power of Turbine = Power Output of Turbine/((sqrt(Effective Head of Turbine))^3)
Pu = P/((sqrt(Heff))^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
Pu = P/((sqrt(Heff))^3) --> 1986500/((sqrt(25))^3)
Evaluating ... ...
Pu = 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 00.020 seconds)

Credits

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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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Verified by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
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Hydraulic Turbines Calculators

Specific Speed of Turbine
​ LaTeX ​ Go Specific Speed of Turbine = (Speed of Turbine*sqrt(Power Output of Turbine))/(Effective Head of Turbine^(5/4))
Unit flow per discharge
​ LaTeX ​ Go Unit Discharge For Hydraulic Turbine = Discharge For Hydraulic Turbine/sqrt(Effective Head of Turbine)
Unit power
​ LaTeX ​ Go Unit Power of Turbine = Power Output of Turbine/((sqrt(Effective Head of Turbine))^3)
Unit speed of turbomachine
​ LaTeX ​ Go Unit Speed of Turbine = Speed of Turbine/sqrt(Effective Head of Turbine)

Unit power Formula

​LaTeX ​Go
Unit Power of Turbine = Power Output of Turbine/((sqrt(Effective Head of Turbine))^3)
Pu = P/((sqrt(Heff))^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, Unit power refers to the amount of power consumed or produced per unit of a specific quantity. This could be power per unit area (e.g., watts per square meter) or power per unit volume (e.g., watts per cubic meter). It is a measure of power density, indicating how much power is distributed over a given unit. Unit Power of Turbine is denoted by Pu 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 (Heff) 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?
Unit power refers to the amount of power consumed or produced per unit of a specific quantity. This could be power per unit area (e.g., watts per square meter) or power per unit volume (e.g., watts per cubic meter). It is a measure of power density, indicating how much power is distributed over a given unit and is represented as Pu = P/((sqrt(Heff))^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?
Unit power refers to the amount of power consumed or produced per unit of a specific quantity. This could be power per unit area (e.g., watts per square meter) or power per unit volume (e.g., watts per cubic meter). It is a measure of power density, indicating how much power is distributed over a given unit 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 (Heff). 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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