Head or Height of Fall of Water given Power Calculator

✖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]			+10% -10%
✖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.ⓘ Head or Height of Fall of Water given Power [H]

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Head or Height of Fall of Water given Power

Formula

`"H" = "P"_{"h"}/("[g]"*"ρ"_{"w"}*"Q")`

Example

`"249.8305m"="5145kW"/("[g]"*"1000kg/m³"*"2.1m³/s")`

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Head or Height of Fall of Water given Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Hydroelectric Power: 5145 Kilowatt --> 5145000 Watt (Check conversion here)
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = P_h/([g]*ρ_w*Q) --> 5145000/([g]*1000*2.1)

Evaluating ... ...

H = 249.830472179592

STEP 3: Convert Result to Output's Unit

249.830472179592 Meter --> No Conversion Required

FINAL ANSWER

249.830472179592 ≈ 249.8305 Meter <-- Fall Height

(Calculation completed in 00.004 seconds)

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Indian Institute of Technology,Roorlee (IITR), Roorkee

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< 23 Hydroelectric Power Plant Calculators

Dimensionless Specific Speed

Go Dimensionless Specific Speed = (Working Speed*sqrt(Hydroelectric Power/1000))/(sqrt(Water Density)*([g]*Fall Height)^(5/4))

Efficiency of Turbine given Energy

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

Energy Produced by Hydroelectric Power Plant

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

Specific Speed of Turbine of Hydroelectric Power Plant

Go Specific Speed = (Working Speed*sqrt(Hydroelectric Power/1000))/Fall Height^(5/4)

Velocity of Jet from Nozzle

Go Velocity of Jet = Coefficient of Velocity*sqrt(2*[g]*Fall Height)

Head or Height of Fall of Water given Power

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

Specific Speed of Single Jet Machine

Go Specific Speed of Single Jet Machine = Specific Speed of Multi Jet Machine/sqrt(Number of Jets)

Specific Speed of Multi Jet Machine

Go Specific Speed of Multi Jet Machine = sqrt(Number of Jets)*Specific Speed of Single Jet Machine

Flow Rate of Water given Power

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

Tidal Energy

Go Tidal Power = 0.5*Area of Base*Water Density*[g]*Fall Height^2

Hydroelectric Power

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

Energy Produced by Hydroelectric Power Plant given Power

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

Height of Fall of Pelton Wheel Turbine Power Plant

Go Fall Height = (Velocity of Jet^2)/(2*[g]*Coefficient of Velocity^2)

Diameter of Bucket

Go Bucket Circle Diameter = (60*Bucket Velocity)/(pi*Working Speed)

Speed of Bucket given Diameter and RPM

Go Bucket Velocity = (pi*Bucket Circle Diameter*Working Speed)/60

Number of Jets

Go Number of Jets = (Specific Speed of Multi Jet Machine/Specific Speed of Single Jet Machine)^2

Unit Speed of Turbine

Go Unit Speed = (Working Speed)/sqrt(Fall Height)

Speed of Turbine given Unit Speed

Go Working Speed = Unit Speed*sqrt(Fall Height)

Speed of Bucket given Angular Velocity and Radius

Go Bucket Velocity = Angular Velocity*Bucket Circle Diameter/2

Unit Power of Hydroelectric Power Plant

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

Power given Unit Power

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

Jet Ratio of Hydroelectric Power Plant

Go Jet Ratio = Bucket Circle Diameter/Nozzle Diameter

Angular Velocity of Wheel

Go Angular Velocity = (2*pi*Working Speed)/60

Head or Height of Fall of Water given Power Formula

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

What is the significance of Hydroelectric Power Plant?

Hydroelectric power plants are significant because they provide a reliable, cost-effective, and clean source of renewable energy, reducing reliance on fossil fuels. They also offer energy security, flexibility, and environmental benefits, such as flood control and recreation opportunities.

How to Calculate Head or Height of Fall of Water given Power?

Head or Height of Fall of Water given Power calculator uses Fall Height = Hydroelectric Power/([g]*Water Density*Flow Rate) to calculate the Fall Height, The Head or Height of Fall of Water given Power formula is defined as the vertical distance that the water falls from the reservoir or dam to the level of the turbine. It is a critical factor in determining the amount of potential energy that can be harnessed by the plant. Fall Height is denoted by H symbol.

How to calculate Head or Height of Fall of Water given Power using this online calculator? To use this online calculator for Head or Height of Fall of Water given Power, enter Hydroelectric Power (P_h), Water Density (ρ_w) & Flow Rate (Q) and hit the calculate button. Here is how the Head or Height of Fall of Water given Power calculation can be explained with given input values -> 249.8305 = 5145000/([g]*1000*2.1).

FAQ

What is Head or Height of Fall of Water given Power?

The Head or Height of Fall of Water given Power formula is defined as the vertical distance that the water falls from the reservoir or dam to the level of the turbine. It is a critical factor in determining the amount of potential energy that can be harnessed by the plant and is represented as H = P_h/([g]*ρ_w*Q) or Fall Height = Hydroelectric Power/([g]*Water Density*Flow Rate). Hydroelectric Power depends on several factors such as the water flow rate, the height difference btw the water source & the turbine, 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.

How to calculate Head or Height of Fall of Water given Power?

The Head or Height of Fall of Water given Power formula is defined as the vertical distance that the water falls from the reservoir or dam to the level of the turbine. It is a critical factor in determining the amount of potential energy that can be harnessed by the plant is calculated using Fall Height = Hydroelectric Power/([g]*Water Density*Flow Rate). To calculate Head or Height of Fall of Water given Power, you need Hydroelectric Power (P_h), Water Density (ρ_w) & Flow Rate (Q). With our tool, you need to enter the respective value for Hydroelectric Power, Water Density & Flow Rate 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 Fall Height?

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

Fall Height = (Velocity of Jet^2)/(2*[g]*Coefficient of Velocity^2)

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