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Efficiency of Hydropower Station given Energy through Hydraulic Turbines Formula

GoEfficiency of Hydropower Station given Amount of Hydropower Formula

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Efficiency of Hydropower is the ratio of useful energy output generated from water flow compared to the input energy. Check FAQs

η = \frac{E Turbines}{9.81 \cdot q flow \cdot (H Water - h location) \cdot T w}

η - Efficiency of Hydropower?E_Turbines - Energy through Hydraulic Turbines?q_flow - Rate of Flow?H_Water - Head of Water?h_location - Head Loss due to Friction?T_w - Time Period of Progressive Wave?

Efficiency of Hydropower Station given Energy through Hydraulic Turbines Example

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Here is how the Efficiency of Hydropower Station given Energy through Hydraulic Turbines equation looks like with Values.

Here is how the Efficiency of Hydropower Station given Energy through Hydraulic Turbines equation looks like with Units.

Here is how the Efficiency of Hydropower Station given Energy through Hydraulic Turbines equation looks like.

0.8 = \frac{522.36}{9.81 \cdot 32 \cdot (2.3 - 1.5) \cdot 2.6}

0.8 = \frac{522.36N*m}{9.81 \cdot 32m³/s \cdot (2.3m - 1.5m) \cdot 2.6s}

0.8 = \frac{522.36}{9.81 \cdot 32 \cdot (2.3 - 1.5) \cdot 2.6}

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Efficiency of Hydropower Station given Energy through Hydraulic Turbines Solution

Follow our step by step solution on how to calculate Efficiency of Hydropower Station given Energy through Hydraulic Turbines?

FIRST Step Consider the formula

η = \frac{E Turbines}{9.81 \cdot q flow \cdot (H Water - h location) \cdot T w}

Next Step Substitute values of Variables

∴

η = \frac{522.36N*m}{9.81 \cdot 32m³/s \cdot (2.3m - 1.5m) \cdot 2.6s}

Next Step Convert Units

∴

η = \frac{522.36J}{9.81 \cdot 32m³/s \cdot (2.3m - 1.5m) \cdot 2.6s}

Next Step Prepare to Evaluate

∴

η = \frac{522.36}{9.81 \cdot 32 \cdot (2.3 - 1.5) \cdot 2.6}

Next Step Evaluate

∴

η = 0.799995589273112

LAST Step Rounding Answer

∴

η = 0.8

Efficiency of Hydropower Station given Energy through Hydraulic Turbines Formula Elements

Variables

Efficiency of Hydropower

Efficiency of Hydropower is the ratio of useful energy output generated from water flow compared to the input energy.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Efficiency of Hydropower

Energy through Hydraulic Turbines

Energy through Hydraulic Turbines describes the power generated by the turbine.

Symbol: E_Turbines

Measurement: EnergyUnit: N*m

Note: Value can be positive or negative.

Formulas to find Energy through Hydraulic Turbines

Rate of Flow

Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.

Symbol: q_flow

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Rate of Flow

Head of Water

Head of Water is defined as the height of water columns.

Symbol: H_Water

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head of Water

Head Loss due to Friction

The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.

Symbol: h_location

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head Loss due to Friction

Time Period of Progressive Wave

Time period of progressive wave is the time taken by a wave to complete one oscillation.

Symbol: T_w

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Period of Progressive Wave

Other Formulas to find Efficiency of Hydropower

Go Efficiency of Hydropower Station given Amount of Hydropower

η = \frac{P}{9.81 \cdot q flow \cdot (H l - H Water)}

Other formulas in Assessment of Available Power category

Go Amount of Hydropower

P = \frac{γ f \cdot q flow \cdot (H l - H Water) \cdot η}{1000}

Go Head given Amount of Hydropower

H Water = (\frac{P}{9.81 \cdot q flow \cdot η}) + h location

Go Head Loss given Amount of Hydropower

h location = ((\frac{P}{9.81 \cdot q flow \cdot η}) - H Water)

Go Energy through Hydraulic Turbines

E Turbines = (9.81 \cdot q flow \cdot (H Water - h location) \cdot η \cdot T w)

How to Evaluate Efficiency of Hydropower Station given Energy through Hydraulic Turbines?

Efficiency of Hydropower Station given Energy through Hydraulic Turbines evaluator uses Efficiency of Hydropower = Energy through Hydraulic Turbines/(9.81*Rate of Flow*(Head of Water-Head Loss due to Friction)*Time Period of Progressive Wave) to evaluate the Efficiency of Hydropower, The Efficiency of Hydropower Station given Energy through Hydraulic Turbines is defined as a fundamental reduction in amount of wasted resources that are used to produce given number of goods or services (output). Efficiency of Hydropower is denoted by η symbol.

How to evaluate Efficiency of Hydropower Station given Energy through Hydraulic Turbines using this online evaluator? To use this online evaluator for Efficiency of Hydropower Station given Energy through Hydraulic Turbines, enter Energy through Hydraulic Turbines (E_Turbines), Rate of Flow (q_flow), Head of Water (H_Water), Head Loss due to Friction (h_location) & Time Period of Progressive Wave (T_w) and hit the calculate button.

FAQs on Efficiency of Hydropower Station given Energy through Hydraulic Turbines

What is the formula to find Efficiency of Hydropower Station given Energy through Hydraulic Turbines?

The formula of Efficiency of Hydropower Station given Energy through Hydraulic Turbines is expressed as Efficiency of Hydropower = Energy through Hydraulic Turbines/(9.81*Rate of Flow*(Head of Water-Head Loss due to Friction)*Time Period of Progressive Wave). Here is an example- 0.824944 = 522.36/(9.81*32*(2.3-1.5)*2.6).

How to calculate Efficiency of Hydropower Station given Energy through Hydraulic Turbines?

With Energy through Hydraulic Turbines (E_Turbines), Rate of Flow (q_flow), Head of Water (H_Water), Head Loss due to Friction (h_location) & Time Period of Progressive Wave (T_w) we can find Efficiency of Hydropower Station given Energy through Hydraulic Turbines using the formula - Efficiency of Hydropower = Energy through Hydraulic Turbines/(9.81*Rate of Flow*(Head of Water-Head Loss due to Friction)*Time Period of Progressive Wave).

What are the other ways to Calculate Efficiency of Hydropower?

Here are the different ways to Calculate Efficiency of Hydropower-

Efficiency of Hydropower=Amount of Hydropower/(9.81*Rate of Flow*(Head loss-Head of Water))

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Efficiency of Hydropower Station given Energy through Hydraulic Turbines Formula

​GoEfficiency of Hydropower Station given Amount of Hydropower Formula

Efficiency of Hydropower Station given Energy through Hydraulic Turbines Example

Efficiency of Hydropower Station given Energy through Hydraulic Turbines Solution

Efficiency of Hydropower Station given Energy through Hydraulic Turbines Formula Elements

Other Formulas to find Efficiency of Hydropower

Other formulas in Assessment of Available Power category

How to Evaluate Efficiency of Hydropower Station given Energy through Hydraulic Turbines?

FAQs on Efficiency of Hydropower Station given Energy through Hydraulic Turbines

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GoEfficiency of Hydropower Station given Amount of Hydropower Formula