FormulaDen.com

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

Efficiency of Turbine given Energy Formula

Fx Copy

LaTeX Copy

Turbine efficiency is an important factor to consider in the design and operation of a hydroelectric plant. The ratio of the mechanical power output to the hydraulic power input. Check FAQs

η = \frac{E}{[g] \cdot ρ w \cdot Q \cdot H \cdot t}

η - Turbine Efficiency?E - Energy?ρ_w - Water Density?Q - Flow Rate?H - Fall Height?t - Operating Time per Year?[g] - Gravitational acceleration on Earth?

Efficiency of Turbine given Energy Example

With values

With units

Only example

Here is how the Efficiency of Turbine given Energy equation looks like with Values.

Here is how the Efficiency of Turbine given Energy equation looks like with Units.

Here is how the Efficiency of Turbine given Energy equation looks like.

0.7995 = \frac{36056}{9.8066 \cdot 1000 \cdot 2.1 \cdot 250 \cdot 8760}

0.7995 = \frac{36056MW*h}{9.8066m/s² \cdot 1000kg/m³ \cdot 2.1m³/s \cdot 250m \cdot 8760h}

0.7995 = \frac{36056}{9.8066 \cdot 1000 \cdot 2.1 \cdot 250 \cdot 8760}

Tip: Use pencil ( Pencil

Pencil

) icon above to edit Input Values and Units.

Solution

Copy

Share

You are here -

HomeIcon

Home » Category

Category

Engineering » Category

Category

Electrical » Category

Category

Power Plant Operations » fx Efficiency of Turbine given Energy

Efficiency of Turbine given Energy Solution

Follow our step by step solution on how to calculate Efficiency of Turbine given Energy?

FIRST Step Consider the formula

η = \frac{E}{[g] \cdot ρ w \cdot Q \cdot H \cdot t}

Next Step Substitute values of Variables

∴

η = \frac{36056MW*h}{[g] \cdot 1000kg/m³ \cdot 2.1m³/s \cdot 250m \cdot 8760h}

Next Step Substitute values of Constants

∴

η = \frac{36056MW*h}{9.8066m/s² \cdot 1000kg/m³ \cdot 2.1m³/s \cdot 250m \cdot 8760h}

Next Step Convert Units

∴

η = \frac{1.3E+14J}{9.8066m/s² \cdot 1000kg/m³ \cdot 2.1m³/s \cdot 250m \cdot 3.2E+7s}

Next Step Prepare to Evaluate

∴

η = \frac{1.3E+14}{9.8066 \cdot 1000 \cdot 2.1 \cdot 250 \cdot 3.2E+7}

Next Step Evaluate

∴

η = 0.799453963364474

LAST Step Rounding Answer

∴

η = 0.7995

Efficiency of Turbine given Energy Formula Elements

Variables

Constants

Turbine Efficiency

Turbine efficiency is an important factor to consider in the design and operation of a hydroelectric plant. The ratio of the mechanical power output to the hydraulic power input.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Turbine Efficiency

Open Variable

Energy

Energy generated by a hydroelectric plant depends on several factors, including the head of water, the flow rate of the water, and the efficiency of the turbine and generator.

Symbol: E

Measurement: EnergyUnit: MW*h

Note: Value should be greater than 0.

Formulas to find Energy

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

Operating Time per Year

Operating time per year in a hydroelectric plant can vary depending on a number of factors such as the size of the plant, the availability of water, and the demand for electricity.

Symbol: t

Measurement: TimeUnit: h

Note: Value should be greater than 0.

Formulas to find Operating Time per Year

Open Variable

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 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 Head or Height of Fall of Water given Power

H = \frac{P h}{[g] \cdot ρ w \cdot Q}

Go Flow Rate of Water given Power

Q = \frac{P h}{[g] \cdot ρ w \cdot H}

See More

OpenImg

How to Evaluate Efficiency of Turbine given Energy?

Efficiency of Turbine given Energy evaluator uses Turbine Efficiency = Energy/([g]*Water Density*Flow Rate*Fall Height*Operating Time per Year) to evaluate the Turbine Efficiency, The Efficiency of Turbine given Energy formula is defined as the ratio of the electrical energy output to the mechanical energy input. It represents the percentage of the potential energy of the falling water that is successfully converted into usable electrical energy. Turbine Efficiency is denoted by η symbol.

How to evaluate Efficiency of Turbine given Energy using this online evaluator? To use this online evaluator for Efficiency of Turbine given Energy, enter Energy (E), Water Density (ρ_w), Flow Rate (Q), Fall Height (H) & Operating Time per Year (t) and hit the calculate button.

FAQs on Efficiency of Turbine given Energy

What is the formula to find Efficiency of Turbine given Energy?

The formula of Efficiency of Turbine given Energy is expressed as Turbine Efficiency = Energy/([g]*Water Density*Flow Rate*Fall Height*Operating Time per Year). Here is an example- 0.799454 = 129801600000000/([g]*1000*2.1*250*31536000).

How to calculate Efficiency of Turbine given Energy?

With Energy (E), Water Density (ρ_w), Flow Rate (Q), Fall Height (H) & Operating Time per Year (t) we can find Efficiency of Turbine given Energy using the formula - Turbine Efficiency = Energy/([g]*Water Density*Flow Rate*Fall Height*Operating Time per Year). This formula also uses Gravitational acceleration on Earth constant(s).

Let Others Know

✖

WhatsApp

Copied!