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Energy Produced by Hydroelectric Power Plant Formula

GoEnergy Produced by Hydroelectric Power Plant given Power Formula

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Energy generated by a hydroelectric plant depends on several factors, including the head of water, the flow rate of the water, and the efficiency of the turbine and generator. Check FAQs

E = [g] \cdot ρ w \cdot Q \cdot H \cdot η \cdot t

E - Energy?ρ_w - Water Density?Q - Flow Rate?H - Fall Height?η - Turbine Efficiency?t - Operating Time per Year?[g] - Gravitational acceleration on Earth?

Energy Produced by Hydroelectric Power Plant Example

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Here is how the Energy Produced by Hydroelectric Power Plant equation looks like with Values.

Here is how the Energy Produced by Hydroelectric Power Plant equation looks like with Units.

Here is how the Energy Produced by Hydroelectric Power Plant equation looks like.

36080.6267 = 9.8066 \cdot 1000 \cdot 2.1 \cdot 250 \cdot 0.8 \cdot 8760

36080.6267MW*h = 9.8066m/s² \cdot 1000kg/m³ \cdot 2.1m³/s \cdot 250m \cdot 0.8 \cdot 8760h

36080.6267 = 9.8066 \cdot 1000 \cdot 2.1 \cdot 250 \cdot 0.8 \cdot 8760

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Energy Produced by Hydroelectric Power Plant Solution

Follow our step by step solution on how to calculate Energy Produced by Hydroelectric Power Plant?

FIRST Step Consider the formula

E = [g] \cdot ρ w \cdot Q \cdot H \cdot η \cdot t

Next Step Substitute values of Variables

∴

E = [g] \cdot 1000kg/m³ \cdot 2.1m³/s \cdot 250m \cdot 0.8 \cdot 8760h

Next Step Substitute values of Constants

∴

E = 9.8066m/s² \cdot 1000kg/m³ \cdot 2.1m³/s \cdot 250m \cdot 0.8 \cdot 8760h

Next Step Convert Units

∴

E = 9.8066m/s² \cdot 1000kg/m³ \cdot 2.1m³/s \cdot 250m \cdot 0.8 \cdot 3.2E+7s

Next Step Prepare to Evaluate

∴

E = 9.8066 \cdot 1000 \cdot 2.1 \cdot 250 \cdot 0.8 \cdot 3.2E+7

Next Step Evaluate

∴

E = 129890256048000J

Next Step Convert to Output's Unit

∴

E = 36080.62668MW*h

LAST Step Rounding Answer

∴

E = 36080.6267MW*h

Energy Produced by Hydroelectric Power Plant Formula Elements

Variables

Constants

Energy

Energy generated by a hydroelectric plant depends on several factors, including the head of water, the flow rate of the water, and the efficiency of the turbine and generator.

Symbol: E

Measurement: EnergyUnit: MW*h

Note: Value should be greater than 0.

Formulas to find Energy

Water Density

Water density in a hydroelectric plant depends on the temperature and pressure conditions inside the plant.

Symbol: ρ_w

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Water Density

Flow Rate

Flow Rate in a hydroelectric power plant is controlled to maximize the amount of electricity generated while minimizing any negative impacts on the environment.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Flow Rate

Fall Height

Fall height, is an important factor in hydroelectric power generation. It refers to the vertical distance that the water falls from the intake point to the turbine.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Fall Height

Turbine Efficiency

Turbine efficiency is an important factor to consider in the design and operation of a hydroelectric plant. The ratio of the mechanical power output to the hydraulic power input.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Turbine Efficiency

Operating Time per Year

Operating time per year in a hydroelectric plant can vary depending on a number of factors such as the size of the plant, the availability of water, and the demand for electricity.

Symbol: t

Measurement: TimeUnit: h

Note: Value should be greater than 0.

Formulas to find Operating Time per Year

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Energy

Go Energy Produced by Hydroelectric Power Plant given Power

E = P h \cdot η \cdot t

Other formulas in Hydroelectric Power Plant category

Go Head or Height of Fall of Water given Power

H = \frac{P h}{[g] \cdot ρ w \cdot Q}

Go Flow Rate of Water given Power

Q = \frac{P h}{[g] \cdot ρ w \cdot H}

Go Efficiency of Turbine given Energy

η = \frac{E}{[g] \cdot ρ w \cdot Q \cdot H \cdot t}

Go Specific Speed of Turbine of Hydroelectric Power Plant

N S = \frac{N \cdot \sqrt{\frac{P h}{1000}}}{H^{\frac{5}{4}}}

How to Evaluate Energy Produced by Hydroelectric Power Plant?

Energy Produced by Hydroelectric Power Plant evaluator uses Energy = [g]*Water Density*Flow Rate*Fall Height*Turbine Efficiency*Operating Time per Year to evaluate the Energy, The Energy Produced by Hydroelectric Power Plant formula is defined as electrical energy generated by the force of falling water that is harnessed by turbines and converted into electricity through the operation of generators. Energy is denoted by E symbol.

How to evaluate Energy Produced by Hydroelectric Power Plant using this online evaluator? To use this online evaluator for Energy Produced by Hydroelectric Power Plant, enter Water Density (ρ_w), Flow Rate (Q), Fall Height (H), Turbine Efficiency (η) & Operating Time per Year (t) and hit the calculate button.

FAQs on Energy Produced by Hydroelectric Power Plant

What is the formula to find Energy Produced by Hydroelectric Power Plant?

The formula of Energy Produced by Hydroelectric Power Plant is expressed as Energy = [g]*Water Density*Flow Rate*Fall Height*Turbine Efficiency*Operating Time per Year. Here is an example- 1E-5 = [g]*1000*2.1*250*0.8*31536000.

How to calculate Energy Produced by Hydroelectric Power Plant?

With Water Density (ρ_w), Flow Rate (Q), Fall Height (H), Turbine Efficiency (η) & Operating Time per Year (t) we can find Energy Produced by Hydroelectric Power Plant using the formula - Energy = [g]*Water Density*Flow Rate*Fall Height*Turbine Efficiency*Operating Time per Year. This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Energy?

Here are the different ways to Calculate Energy-

Energy=Hydroelectric Power*Turbine Efficiency*Operating Time per Year

Can the Energy Produced by Hydroelectric Power Plant be negative?

No, the Energy Produced by Hydroelectric Power Plant, measured in Energy cannot be negative.

Which unit is used to measure Energy Produced by Hydroelectric Power Plant?

Energy Produced by Hydroelectric Power Plant is usually measured using the Megawatt-Hour[MW*h] for Energy. Joule[MW*h], Kilojoule[MW*h], Gigajoule[MW*h] are the few other units in which Energy Produced by Hydroelectric Power Plant can be measured.

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Energy Produced by Hydroelectric Power Plant Formula

​GoEnergy Produced by Hydroelectric Power Plant given Power Formula

Energy Produced by Hydroelectric Power Plant Example

Energy Produced by Hydroelectric Power Plant Solution

Energy Produced by Hydroelectric Power Plant Formula Elements

Other Formulas to find Energy

Other formulas in Hydroelectric Power Plant category

How to Evaluate Energy Produced by Hydroelectric Power Plant?

FAQs on Energy Produced by Hydroelectric Power Plant

Variable Name

GoEnergy Produced by Hydroelectric Power Plant given Power Formula