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Unit power Formula

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Unit Power of Turbine is the hypothetical power developed by a turbine under a head of 1m. Check FAQs

P u = \frac{P}{{(\sqrt{H eff})}^{3}}

P_u - Unit Power of Turbine?P - Power Output of Turbine?H_eff - Effective Head of Turbine?

Unit power Example

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With units

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Here is how the Unit power equation looks like with Values.

Here is how the Unit power equation looks like with Units.

Here is how the Unit power equation looks like.

15.892 = \frac{1986.5}{{(\sqrt{25})}^{3}}

15.892kW = \frac{1986.5kW}{{(\sqrt{25m})}^{3}}

15.892 = \frac{1986.5}{{(\sqrt{25})}^{3}}

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Unit power Solution

Follow our step by step solution on how to calculate Unit power?

FIRST Step Consider the formula

P u = \frac{P}{{(\sqrt{H eff})}^{3}}

Next Step Substitute values of Variables

∴

P u = \frac{1986.5kW}{{(\sqrt{25m})}^{3}}

Next Step Convert Units

∴

P u = \frac{2E+6W}{{(\sqrt{25m})}^{3}}

Next Step Prepare to Evaluate

∴

P u = \frac{2E+6}{{(\sqrt{25})}^{3}}

Next Step Evaluate

∴

P u = 15892W

LAST Step Convert to Output's Unit

∴

P u = 15.892kW

Unit power Formula Elements

Variables

Functions

Unit Power of Turbine

Unit Power of Turbine is the hypothetical power developed by a turbine under a head of 1m.

Symbol: P_u

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Unit Power of Turbine

Power Output of Turbine

The Power Output of Turbine is the amount of energy transferred in unit time by the turbine.

Symbol: P

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Power Output of Turbine

Effective Head of 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.

Symbol: H_eff

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Effective Head of Turbine

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.

Syntax: sqrt(Number)

Other formulas in Hydraulic Turbines category

Go Specific Speed of Turbine

N s = \frac{N \cdot \sqrt{P}}{{H eff}^{\frac{5}{4}}}

Go Unit flow per discharge

Q u = \frac{Q h}{\sqrt{H eff}}

Go Unit speed of turbomachine

N u = \frac{N}{\sqrt{H eff}}

Go Angular Speed of Turbine given Specific Speed

N = \frac{N s \cdot {H eff}^{\frac{5}{4}}}{\sqrt{P}}

How to Evaluate Unit power?

Unit power evaluator uses Unit Power of Turbine = Power Output of Turbine/((sqrt(Effective Head of Turbine))^3) to evaluate 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 P_u symbol.

How to evaluate Unit power using this online evaluator? To use this online evaluator for Unit power, enter Power Output of Turbine (P) & Effective Head of Turbine (H_eff) and hit the calculate button.

FAQs on Unit power

What is the formula to find Unit power?

The formula of Unit power is expressed as Unit Power of Turbine = Power Output of Turbine/((sqrt(Effective Head of Turbine))^3). Here is an example- 0.015892 = 1986500/((sqrt(25))^3).

How to calculate Unit power?

With Power Output of Turbine (P) & Effective Head of Turbine (H_eff) we can find Unit power using the formula - Unit Power of Turbine = Power Output of Turbine/((sqrt(Effective Head of Turbine))^3). This formula also uses Square Root (sqrt) function(s).

Can the Unit power be negative?

No, the Unit power, measured in Power cannot be negative.

Which unit is used to measure Unit power?

Unit power is usually measured using the Kilowatt[kW] for Power. Watt[kW], Milliwatt[kW], Microwatt[kW] are the few other units in which Unit power can be measured.

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Unit power Formula

Unit power Example

Unit power Solution

Unit power Formula Elements

Other formulas in Hydraulic Turbines category

How to Evaluate Unit power?

FAQs on Unit power

Variable Name