Height of Fall of Pelton Wheel Turbine Power Plant Calculator

✖Velocity of jet is depends on several factors such as the head, the flow rate of water & the size and shape of the nozzle through which the water is directed onto the turbine blades.ⓘ Velocity of Jet [V_J]			+10% -10%
✖The coefficient of velocity is defined as the ratio of actual velocity of water at the turbine inlet to the theoretical velocity of water in the absence of losses.ⓘ Coefficient of Velocity [C_v]			+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.ⓘ Height of Fall of Pelton Wheel Turbine Power Plant [H]

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Height of Fall of Pelton Wheel Turbine Power Plant

Formula

`"H" = ("V"_{"J"}^2)/(2*"[g]"*"C"_{"v"}^2)`

Example

`"250.049m"=(("68.63m/s")^2)/(2*"[g]"*("0.98")^2)`

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Height of Fall of Pelton Wheel Turbine Power Plant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fall Height = (Velocity of Jet^2)/(2*[g]*Coefficient of Velocity^2)
H = (V_J^2)/(2*[g]*C_v^2)
This formula uses 1 Constants, 3 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.
Velocity of Jet - (Measured in Meter per Second) - Velocity of jet is depends on several factors such as the head, the flow rate of water & the size and shape of the nozzle through which the water is directed onto the turbine blades.
Coefficient of Velocity - The coefficient of velocity is defined as the ratio of actual velocity of water at the turbine inlet to the theoretical velocity of water in the absence of losses.

STEP 1: Convert Input(s) to Base Unit

Velocity of Jet: 68.63 Meter per Second --> 68.63 Meter per Second No Conversion Required
Coefficient of Velocity: 0.98 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = (V_J^2)/(2*[g]*C_v^2) --> (68.63^2)/(2*[g]*0.98^2)

Evaluating ... ...

H = 250.049030575949

STEP 3: Convert Result to Output's Unit

250.049030575949 Meter --> No Conversion Required

FINAL ANSWER

250.049030575949 ≈ 250.049 Meter <-- Fall Height

(Calculation completed in 00.020 seconds)

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Created by Nisarg

Indian Institute of Technology,Roorlee (IITR), Roorkee

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Chandigarh University (CU), Punjab

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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

Height of Fall of Pelton Wheel Turbine Power Plant Formula

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

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 Height of Fall of Pelton Wheel Turbine Power Plant?

Height of Fall of Pelton Wheel Turbine Power Plant calculator uses Fall Height = (Velocity of Jet^2)/(2*[g]*Coefficient of Velocity^2) to calculate the Fall Height, The Height of Fall of Pelton Wheel Turbine Power Plant 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 Height of Fall of Pelton Wheel Turbine Power Plant using this online calculator? To use this online calculator for Height of Fall of Pelton Wheel Turbine Power Plant, enter Velocity of Jet (V_J) & Coefficient of Velocity (C_v) and hit the calculate button. Here is how the Height of Fall of Pelton Wheel Turbine Power Plant calculation can be explained with given input values -> 250.049 = (68.63^2)/(2*[g]*0.98^2).

FAQ

What is Height of Fall of Pelton Wheel Turbine Power Plant?

The Height of Fall of Pelton Wheel Turbine Power Plant 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 = (V_J^2)/(2*[g]*C_v^2) or Fall Height = (Velocity of Jet^2)/(2*[g]*Coefficient of Velocity^2). Velocity of jet is depends on several factors such as the head, the flow rate of water & the size and shape of the nozzle through which the water is directed onto the turbine blades & The coefficient of velocity is defined as the ratio of actual velocity of water at the turbine inlet to the theoretical velocity of water in the absence of losses.

How to calculate Height of Fall of Pelton Wheel Turbine Power Plant?

The Height of Fall of Pelton Wheel Turbine Power Plant 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 = (Velocity of Jet^2)/(2*[g]*Coefficient of Velocity^2). To calculate Height of Fall of Pelton Wheel Turbine Power Plant, you need Velocity of Jet (V_J) & Coefficient of Velocity (C_v). With our tool, you need to enter the respective value for Velocity of Jet & Coefficient of Velocity 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 Velocity of Jet & Coefficient of Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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