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Propeller Efficiency given Preliminary Endurance for Prop-Driven Aircraft Formula

GoPropeller Efficiency for given Range of Propeller-Driven Airplane Formula

GoPropeller Efficiency for given Range and Lift-to-Drag Ratio 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 = \frac{E p \cdot V Emax \cdot c}{LDEmax ratio \cdot \ln (\frac{W L,beg}{W L,end})}

η - Propeller Efficiency?E_p - Preliminary Endurance of Aircraft?V_Emax - Velocity for Maximum Endurance?c - Specific Fuel Consumption?LDEmax_ratio - Lift to Drag Ratio at Maximum Endurance?W_L,beg - Weight at Start of Loiter Phase?W_L,end - Weight at End of Loiter Phase?

Propeller Efficiency given Preliminary Endurance for Prop-Driven Aircraft Example

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Here is how the Propeller Efficiency given Preliminary Endurance for Prop-Driven Aircraft equation looks like with Values.

Here is how the Propeller Efficiency given Preliminary Endurance for Prop-Driven Aircraft equation looks like with Units.

Here is how the Propeller Efficiency given Preliminary Endurance for Prop-Driven Aircraft equation looks like.

0.9305 = \frac{23.4 \cdot 15.6 \cdot 0.6}{4.4 \cdot \ln (\frac{400}{394.1})}

0.9305 = \frac{23.4s \cdot 15.6m/s \cdot 0.6kg/h/W}{4.4 \cdot \ln (\frac{400kg}{394.1kg})}

0.9305 = \frac{23.4 \cdot 15.6 \cdot 0.6}{4.4 \cdot \ln (\frac{400}{394.1})}

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Propeller Efficiency given Preliminary Endurance for Prop-Driven Aircraft Solution

Follow our step by step solution on how to calculate Propeller Efficiency given Preliminary Endurance for Prop-Driven Aircraft?

FIRST Step Consider the formula

η = \frac{E p \cdot V Emax \cdot c}{LDEmax ratio \cdot \ln (\frac{W L,beg}{W L,end})}

Next Step Substitute values of Variables

∴

η = \frac{23.4s \cdot 15.6m/s \cdot 0.6kg/h/W}{4.4 \cdot \ln (\frac{400kg}{394.1kg})}

Next Step Convert Units

∴

η = \frac{23.4s \cdot 15.6m/s \cdot 0.0002kg/s/W}{4.4 \cdot \ln (\frac{400kg}{394.1kg})}

Next Step Prepare to Evaluate

∴

η = \frac{23.4 \cdot 15.6 \cdot 0.0002}{4.4 \cdot \ln (\frac{400}{394.1})}

Next Step Evaluate

∴

η = 0.93051145988277

LAST Step Rounding Answer

∴

η = 0.9305

Propeller Efficiency given Preliminary Endurance for Prop-Driven Aircraft 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

Preliminary Endurance of Aircraft

Preliminary Endurance of Aircraft is the time spent by the aircraft in air, or it is the endurance during preliminary design phase.

Symbol: E_p

Measurement: TimeUnit: s