FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Head or Height of Fall of Water given Power Formula

GoHeight of Fall of Pelton Wheel Turbine Power Plant Formula

Fx Copy

LaTeX Copy

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{P h}{[g] \cdot ρ w \cdot Q}

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

Head or Height of Fall of Water given Power Example

With values

With units

Only example

Here is how the Head or Height of Fall of Water given Power equation looks like with Values.

Here is how the Head or Height of Fall of Water given Power equation looks like with Units.

Here is how the Head or Height of Fall of Water given Power equation looks like.

249.8305 = \frac{5145}{9.8066 \cdot 1000 \cdot 2.1}

249.8305m = \frac{5145kW}{9.8066m/s² \cdot 1000kg/m³ \cdot 2.1m³/s}

249.8305 = \frac{5145}{9.8066 \cdot 1000 \cdot 2.1}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electrical » Category

Power Plant Operations » fx Head or Height of Fall of Water given Power

Head or Height of Fall of Water given Power Solution

Follow our step by step solution on how to calculate Head or Height of Fall of Water given Power?

FIRST Step Consider the formula

H = \frac{P h}{[g] \cdot ρ w \cdot Q}

Next Step Substitute values of Variables

∴

H = \frac{5145kW}{[g] \cdot 1000kg/m³ \cdot 2.1m³/s}

Next Step Substitute values of Constants

∴

H = \frac{5145kW}{9.8066m/s² \cdot 1000kg/m³ \cdot 2.1m³/s}

Next Step Convert Units

∴

H = \frac{5.1E+6W}{9.8066m/s² \cdot 1000kg/m³ \cdot 2.1m³/s}

Next Step Prepare to Evaluate

∴

H = \frac{5.1E+6}{9.8066 \cdot 1000 \cdot 2.1}

Next Step Evaluate

∴

H = 249.830472179592m

LAST Step Rounding Answer

∴

H = 249.8305m

Head or Height of Fall of Water given Power 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

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

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 Height of Fall of Pelton Wheel Turbine Power Plant

H = \frac{{V J}^{2}}{2 \cdot [g] \cdot {C v}^{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 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 Head or Height of Fall of Water given Power?

Head or Height of Fall of Water given Power evaluator uses Fall Height = Hydroelectric Power/([g]*Water Density*Flow Rate) to evaluate 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 evaluate Head or Height of Fall of Water given Power using this online evaluator? To use this online evaluator 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.

FAQs on Head or Height of Fall of Water given Power

What is the formula to find Head or Height of Fall of Water given Power?

The formula of Head or Height of Fall of Water given Power is expressed as Fall Height = Hydroelectric Power/([g]*Water Density*Flow Rate). Here is an example- 249.8305 = 5145000/([g]*1000*2.1).

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

With Hydroelectric Power (P_h), Water Density (ρ_w) & Flow Rate (Q) we can find Head or Height of Fall of Water given Power using the formula - Fall Height = Hydroelectric Power/([g]*Water Density*Flow Rate). 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=(Velocity of Jet^2)/(2*[g]*Coefficient of Velocity^2)

Can the Head or Height of Fall of Water given Power be negative?

No, the Head or Height of Fall of Water given Power, measured in Length cannot be negative.

Which unit is used to measure Head or Height of Fall of Water given Power?

Head or Height of Fall of Water given Power is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Head or Height of Fall of Water given Power can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Head or Height of Fall of Water given Power Formula

​GoHeight of Fall of Pelton Wheel Turbine Power Plant Formula

Head or Height of Fall of Water given Power Example

Head or Height of Fall of Water given Power Solution

Head or Height of Fall of Water given Power Formula Elements

Other Formulas to find Fall Height

Other formulas in Hydroelectric Power Plant category

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

FAQs on Head or Height of Fall of Water given Power

Variable Name

GoHeight of Fall of Pelton Wheel Turbine Power Plant Formula