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Hydroelectric Power Formula

GoPower given Unit Power Formula

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Hydroelectric Power depends on several factors such as the water flow rate, the height difference btw the water source & the turbine. Check FAQs

P h = [g] \cdot ρ w \cdot Q \cdot H

P_h - Hydroelectric Power?ρ_w - Water Density?Q - Flow Rate?H - Fall Height?[g] - Gravitational acceleration on Earth?

Hydroelectric Power Example

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With units

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Here is how the Hydroelectric Power equation looks like with Values.

Here is how the Hydroelectric Power equation looks like with Units.

Here is how the Hydroelectric Power equation looks like.

5148.4912 = 9.8066 \cdot 1000 \cdot 2.1 \cdot 250

5148.4912kW = 9.8066m/s² \cdot 1000kg/m³ \cdot 2.1m³/s \cdot 250m

5148.4912 = 9.8066 \cdot 1000 \cdot 2.1 \cdot 250

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Hydroelectric Power Solution

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

FIRST Step Consider the formula

P h = [g] \cdot ρ w \cdot Q \cdot H

Next Step Substitute values of Variables

∴

P h = [g] \cdot 1000kg/m³ \cdot 2.1m³/s \cdot 250m

Next Step Substitute values of Constants

∴

P h = 9.8066m/s² \cdot 1000kg/m³ \cdot 2.1m³/s \cdot 250m

Next Step Prepare to Evaluate

∴

P h = 9.8066 \cdot 1000 \cdot 2.1 \cdot 250

Next Step Evaluate

∴

P h = 5148491.25W

Next Step Convert to Output's Unit

∴

P h = 5148.49125kW

LAST Step Rounding Answer

∴

P h = 5148.4912kW

Hydroelectric Power Formula Elements

Variables

Constants

Hydroelectric Power

Hydroelectric Power depends on several factors such as the water flow rate, the height difference btw the water source & the turbine.

Symbol: P_h

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Hydroelectric Power

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

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 Hydroelectric Power

Go Power given Unit Power

P h = P u \cdot 1000 \cdot H^{\frac{3}{2}}

Other formulas in Hydroelectric Power Plant category

Go Energy Produced by Hydroelectric Power Plant

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

Go Energy Produced by Hydroelectric Power Plant given Power

E = P h \cdot η \cdot t

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}

How to Evaluate Hydroelectric Power?

Hydroelectric Power evaluator uses Hydroelectric Power = [g]*Water Density*Flow Rate*Fall Height to evaluate the Hydroelectric Power, The Hydroelectric Power formula is defined the conversion of the kinetic energy of falling or flowing water into electrical energy by means of a turbine connected to a generator. Hydroelectric Power is denoted by P_h symbol.

How to evaluate Hydroelectric Power using this online evaluator? To use this online evaluator for Hydroelectric Power, enter Water Density (ρ_w), Flow Rate (Q) & Fall Height (H) and hit the calculate button.

FAQs on Hydroelectric Power

What is the formula to find Hydroelectric Power?

The formula of Hydroelectric Power is expressed as Hydroelectric Power = [g]*Water Density*Flow Rate*Fall Height. Here is an example- 5.148491 = [g]*1000*2.1*250.

How to calculate Hydroelectric Power?

With Water Density (ρ_w), Flow Rate (Q) & Fall Height (H) we can find Hydroelectric Power using the formula - Hydroelectric Power = [g]*Water Density*Flow Rate*Fall Height. This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Hydroelectric Power?

Here are the different ways to Calculate Hydroelectric Power-

Hydroelectric Power=Unit Power*1000*Fall Height^(3/2)

Can the Hydroelectric Power be negative?

No, the Hydroelectric Power, measured in Power cannot be negative.

Which unit is used to measure Hydroelectric Power?

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

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Hydroelectric Power Formula

​GoPower given Unit Power Formula

Hydroelectric Power Example

Hydroelectric Power Solution

Hydroelectric Power Formula Elements

Other Formulas to find Hydroelectric Power

Other formulas in Hydroelectric Power Plant category

How to Evaluate Hydroelectric Power?

FAQs on Hydroelectric Power

Variable Name

GoPower given Unit Power Formula