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Height of Fall of Pelton Wheel Turbine Power Plant Formula

GoHead or Height of Fall of Water given Power Formula

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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. Check FAQs

H = \frac{{V J}^{2}}{2 \cdot [g] \cdot {C v}^{2}}

H - Fall Height?V_J - Velocity of Jet?C_v - Coefficient of Velocity?[g] - Gravitational acceleration on Earth?

Height of Fall of Pelton Wheel Turbine Power Plant Example

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Here is how the Height of Fall of Pelton Wheel Turbine Power Plant equation looks like with Values.

Here is how the Height of Fall of Pelton Wheel Turbine Power Plant equation looks like with Units.

Here is how the Height of Fall of Pelton Wheel Turbine Power Plant equation looks like.

250.049 = \frac{{68.63}^{2}}{2 \cdot 9.8066 \cdot {0.98}^{2}}

250.049m = \frac{{68.63m/s}^{2}}{2 \cdot 9.8066m/s² \cdot {0.98}^{2}}

250.049 = \frac{{68.63}^{2}}{2 \cdot 9.8066 \cdot {0.98}^{2}}

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Height of Fall of Pelton Wheel Turbine Power Plant Solution

Follow our step by step solution on how to calculate Height of Fall of Pelton Wheel Turbine Power Plant?

FIRST Step Consider the formula

H = \frac{{V J}^{2}}{2 \cdot [g] \cdot {C v}^{2}}

Next Step Substitute values of Variables

∴

H = \frac{{68.63m/s}^{2}}{2 \cdot [g] \cdot {0.98}^{2}}

Next Step Substitute values of Constants

∴

H = \frac{{68.63m/s}^{2}}{2 \cdot 9.8066m/s² \cdot {0.98}^{2}}

Next Step Prepare to Evaluate

∴

H = \frac{{68.63}^{2}}{2 \cdot 9.8066 \cdot {0.98}^{2}}

Next Step Evaluate

∴

H = 250.049030575949m

LAST Step Rounding Answer

∴

H = 250.049m

Height of Fall of Pelton Wheel Turbine Power Plant Formula Elements

Variables

Constants

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

Velocity of Jet

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.

Symbol: V_J

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Jet

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.

Symbol: C_v

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Velocity

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 Fall Height

Go Head or Height of Fall of Water given Power

H = \frac{P h}{[g] \cdot ρ w \cdot Q}

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 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}

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

Height of Fall of Pelton Wheel Turbine Power Plant evaluator uses Fall Height = (Velocity of Jet^2)/(2*[g]*Coefficient of Velocity^2) to evaluate 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 evaluate Height of Fall of Pelton Wheel Turbine Power Plant using this online evaluator? To use this online evaluator 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.

FAQs on Height of Fall of Pelton Wheel Turbine Power Plant

What is the formula to find Height of Fall of Pelton Wheel Turbine Power Plant?

The formula of Height of Fall of Pelton Wheel Turbine Power Plant is expressed as Fall Height = (Velocity of Jet^2)/(2*[g]*Coefficient of Velocity^2). Here is an example- 250.049 = (68.63^2)/(2*[g]*0.98^2).

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

With Velocity of Jet (V_J) & Coefficient of Velocity (C_v) we can find Height of Fall of Pelton Wheel Turbine Power Plant using the formula - Fall Height = (Velocity of Jet^2)/(2*[g]*Coefficient of Velocity^2). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Fall Height?

Here are the different ways to Calculate Fall Height-

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

Can the Height of Fall of Pelton Wheel Turbine Power Plant be negative?

No, the Height of Fall of Pelton Wheel Turbine Power Plant, measured in Length cannot be negative.

Which unit is used to measure Height of Fall of Pelton Wheel Turbine Power Plant?

Height of Fall of Pelton Wheel Turbine Power Plant is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Fall of Pelton Wheel Turbine Power Plant can be measured.

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Height of Fall of Pelton Wheel Turbine Power Plant Formula

​GoHead or Height of Fall of Water given Power Formula

Height of Fall of Pelton Wheel Turbine Power Plant Example

Height of Fall of Pelton Wheel Turbine Power Plant Solution

Height of Fall of Pelton Wheel Turbine Power Plant Formula Elements

Other Formulas to find Fall Height

Other formulas in Hydroelectric Power Plant category

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

FAQs on Height of Fall of Pelton Wheel Turbine Power Plant

Variable Name

GoHead or Height of Fall of Water given Power Formula