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✖Water density in a hydroelectric plant depends on the temperature and pressure conditions inside the plant.ⓘ Water Density [ρ_w]			+10% -10%
✖Flow Rate in a hydroelectric power plant is controlled to maximize the amount of electricity generated while minimizing any negative impacts on the environment.ⓘ Flow Rate [Q]			+10% -10%
✖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.ⓘ Fall Height [H]			+10% -10%

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

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Formula

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Hydroelectric Power

Formula

P h = [g] \cdot ρ w \cdot Q \cdot H

Example

5148.491 kW = [g] \cdot 1000 kg/m³ \cdot 2.1 m³/s \cdot 250 m

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Hydroelectric Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydroelectric Power = [g]*Water Density*Flow Rate*Fall Height
P_h = [g]*ρ_w*Q*H
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Hydroelectric Power - (Measured in Watt) - Hydroelectric Power depends on several factors such as the water flow rate, the height difference btw the water source & the turbine.
Water Density - (Measured in Kilogram per Cubic Meter) - Water density in a hydroelectric plant depends on the temperature and pressure conditions inside the plant.
Flow Rate - (Measured in Cubic Meter per Second) - Flow Rate in a hydroelectric power plant is controlled to maximize the amount of electricity generated while minimizing any negative impacts on the environment.
Fall Height - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Flow Rate: 2.1 Cubic Meter per Second --> 2.1 Cubic Meter per Second No Conversion Required
Fall Height: 250 Meter --> 250 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_h = [g]*ρ_w*Q*H --> [g]*1000*2.1*250

Evaluating ... ...

P_h = 5148491.25

STEP 3: Convert Result to Output's Unit

5148491.25 Watt -->5148.49125 Kilowatt (Check conversion here)

FINAL ANSWER

5148.49125 ≈ 5148.491 Kilowatt <-- Hydroelectric Power

(Calculation completed in 00.004 seconds)

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Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

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Birsa Institute of Technology (BIT), Sindri

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< Hydroelectric Power Plant Calculators

Energy Produced by Hydroelectric Power Plant

Go Energy = [g]*Water Density*Flow Rate*Fall Height*Turbine Efficiency*Operating Time per Year

Head or Height of Fall of Water given Power

Go Fall Height = Hydroelectric Power/([g]*Water Density*Flow Rate)

Flow Rate of Water given Power

Go Flow Rate = Hydroelectric Power/([g]*Water Density*Fall Height)

Energy Produced by Hydroelectric Power Plant given Power

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

Hydroelectric Power Formula

Hydroelectric Power = [g]*Water Density*Flow Rate*Fall Height
P_h = [g]*ρ_w*Q*H

Who invented hydroelectricity?

In 1878, the world's first hydroelectric power scheme was developed at Cragside in Northumberland, England by William Armstrong. It was used to power a single arc lamp in his art gallery.

How to Calculate Hydroelectric Power?

Hydroelectric Power calculator uses Hydroelectric Power = [g]*Water Density*Flow Rate*Fall Height to calculate 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 calculate Hydroelectric Power using this online calculator? To use this online calculator for Hydroelectric Power, enter Water Density (ρ_w), Flow Rate (Q) & Fall Height (H) and hit the calculate button. Here is how the Hydroelectric Power calculation can be explained with given input values -> 5.148491 = [g]*1000*2.1*250.

FAQ

What is 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 and is represented as P_h = [g]*ρ_w*Q*H or Hydroelectric Power = [g]*Water Density*Flow Rate*Fall Height. Water density in a hydroelectric plant depends on the temperature and pressure conditions inside the plant, Flow Rate in a hydroelectric power plant is controlled to maximize the amount of electricity generated while minimizing any negative impacts on the environment & 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.

How to calculate 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 is calculated using Hydroelectric Power = [g]*Water Density*Flow Rate*Fall Height. To calculate Hydroelectric Power, you need Water Density (ρ_w), Flow Rate (Q) & Fall Height (H). With our tool, you need to enter the respective value for Water Density, Flow Rate & Fall Height and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Hydroelectric Power?

In this formula, Hydroelectric Power uses Water Density, Flow Rate & Fall Height. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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