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Propeller Efficiency for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane Formula

GoPropeller Efficiency for given Range of Propeller-Driven Airplane Formula

GoPropeller Efficiency for given Endurance of Propeller-Driven Airplane Formula

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Propeller Efficiency is defined as power produced (propeller power) divided by power applied (engine power). Check FAQs

η = R prop \cdot \frac{c}{LD \cdot (\ln (\frac{W 0}{W 1}))}

η - Propeller Efficiency?R_prop - Range of Propeller Aircraft?c - Specific Fuel Consumption?LD - Lift-to-Drag Ratio?W₀ - Gross Weight?W₁ - Weight without Fuel?

Propeller Efficiency for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane Example

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Here is how the Propeller Efficiency for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane equation looks like with Values.

Here is how the Propeller Efficiency for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane equation looks like with Units.

Here is how the Propeller Efficiency for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane equation looks like.

0.93 = 7126.017 \cdot \frac{0.6}{2.5 \cdot (\ln (\frac{5000}{3000}))}

0.93 = 7126.017m \cdot \frac{0.6kg/h/W}{2.5 \cdot (\ln (\frac{5000kg}{3000kg}))}

0.93 = 7126.017 \cdot \frac{0.6}{2.5 \cdot (\ln (\frac{5000}{3000}))}

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Propeller Efficiency for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane Solution

Follow our step by step solution on how to calculate Propeller Efficiency for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane?

FIRST Step Consider the formula

η = R prop \cdot \frac{c}{LD \cdot (\ln (\frac{W 0}{W 1}))}

Next Step Substitute values of Variables

∴

η = 7126.017m \cdot \frac{0.6kg/h/W}{2.5 \cdot (\ln (\frac{5000kg}{3000kg}))}

Next Step Convert Units

∴

η = 7126.017m \cdot \frac{0.0002kg/s/W}{2.5 \cdot (\ln (\frac{5000kg}{3000kg}))}

Next Step Prepare to Evaluate

∴

η = 7126.017 \cdot \frac{0.0002}{2.5 \cdot (\ln (\frac{5000}{3000}))}

Next Step Evaluate

∴

η = 0.929999941071142

LAST Step Rounding Answer

∴

η = 0.93

Propeller Efficiency for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane Formula Elements

Variables

Functions

Propeller Efficiency

Propeller Efficiency is defined as power produced (propeller power) divided by power applied (engine power).

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Propeller Efficiency

Range of Propeller Aircraft

Range of Propeller Aircraft is defined as the total distance (measured with respect to ground) traversed by the aircraft on a tank of fuel.

Symbol: R_prop

Measurement: LengthUnit: m