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Cruise Weight Fraction for Prop-Driven Aircraft Formula

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Cruise Weight Fraction Propeller Aircraft is the ratio of the weight of aircraft at the end of cruise phase to the weight of aircraft at the start of cruise phase. Check FAQs

FW cruise prop = \exp (\frac{R prop \cdot (- 1) \cdot c}{LDmax ratio \cdot η})

FW_{cruise prop} - Cruise Weight Fraction Propeller Aircraft?R_prop - Range of Propeller Aircraft?c - Specific Fuel Consumption?LDmax_ratio - Maximum Lift-to-Drag Ratio?η - Propeller Efficiency?

Cruise Weight Fraction for Prop-Driven Aircraft Example

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Here is how the Cruise Weight Fraction for Prop-Driven Aircraft equation looks like with Values.

Here is how the Cruise Weight Fraction for Prop-Driven Aircraft equation looks like with Units.

Here is how the Cruise Weight Fraction for Prop-Driven Aircraft equation looks like.

0.7778 = \exp (\frac{7126.017 \cdot (- 1) \cdot 0.6}{5.0815 \cdot 0.93})

0.7778 = \exp (\frac{7126.017m \cdot (- 1) \cdot 0.6kg/h/W}{5.0815 \cdot 0.93})

0.7778 = \exp (\frac{7126.017 \cdot (- 1) \cdot 0.6}{5.0815 \cdot 0.93})

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Cruise Weight Fraction for Prop-Driven Aircraft Solution

Follow our step by step solution on how to calculate Cruise Weight Fraction for Prop-Driven Aircraft?

FIRST Step Consider the formula

FW cruise prop = \exp (\frac{R prop \cdot (- 1) \cdot c}{LDmax ratio \cdot η})

Next Step Substitute values of Variables

∴

FW cruise prop = \exp (\frac{7126.017m \cdot (- 1) \cdot 0.6kg/h/W}{5.0815 \cdot 0.93})

Next Step Convert Units

∴

FW cruise prop = \exp (\frac{7126.017m \cdot (- 1) \cdot 0.0002kg/s/W}{5.0815 \cdot 0.93})

Next Step Prepare to Evaluate

∴

FW cruise prop = \exp (\frac{7126.017 \cdot (- 1) \cdot 0.0002}{5.0815 \cdot 0.93})

Next Step Evaluate

∴

FW cruise prop = 0.777777329971361

LAST Step Rounding Answer

∴

FW cruise prop = 0.7778

Cruise Weight Fraction for Prop-Driven Aircraft Formula Elements

Variables

Functions

Cruise Weight Fraction Propeller Aircraft

Cruise Weight Fraction Propeller Aircraft is the ratio of the weight of aircraft at the end of cruise phase to the weight of aircraft at the start of cruise phase.

Symbol: FW_{cruise prop}

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Cruise Weight Fraction Propeller Aircraft

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

Note: Value should be greater than 0.

Formulas to find Range of Propeller Aircraft

Specific Fuel Consumption

Specific Fuel Consumption is a characteristic of the engine and defined as the weight of fuel consumed per unit power per unit time.

Symbol: c

Measurement: Specific Fuel ConsumptionUnit: kg/h/W

Note: Value should be greater than 0.

Formulas to find Specific Fuel Consumption

Maximum Lift-to-Drag Ratio

The Maximum Lift-to-Drag Ratio is the highest ratio of lift force to drag force that an aircraft can achieve.

Symbol: LDmax_ratio

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Maximum Lift-to-Drag Ratio

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

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other formulas in Propeller Driven Airplane category

Go Range of Propeller-Driven Airplane

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

Go Propeller Efficiency for given Range of Propeller-Driven Airplane

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

Go Specific Fuel Consumption for given Range of Propeller-Driven Airplane

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

Go Range of Propeller-Driven Airplane for given lift-to-drag ratio

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

How to Evaluate Cruise Weight Fraction for Prop-Driven Aircraft?

Cruise Weight Fraction for Prop-Driven Aircraft evaluator uses Cruise Weight Fraction Propeller Aircraft = exp((Range of Propeller Aircraft*(-1)*Specific Fuel Consumption)/(Maximum Lift-to-Drag Ratio*Propeller Efficiency)) to evaluate the Cruise Weight Fraction Propeller Aircraft, Cruise Weight Fraction for Prop-Driven Aircraft is a measure that estimates the proportion of an aircraft's weight during cruise, which is influenced by the range of the propeller aircraft, specific fuel consumption, maximum lift-to-drag ratio, and propeller efficiency, providing a crucial parameter in aircraft design and performance optimization. Cruise Weight Fraction Propeller Aircraft is denoted by FW_{cruise prop} symbol.

How to evaluate Cruise Weight Fraction for Prop-Driven Aircraft using this online evaluator? To use this online evaluator for Cruise Weight Fraction for Prop-Driven Aircraft, enter Range of Propeller Aircraft (R_prop), Specific Fuel Consumption (c), Maximum Lift-to-Drag Ratio (LDmax_ratio) & Propeller Efficiency (η) and hit the calculate button.

FAQs on Cruise Weight Fraction for Prop-Driven Aircraft

What is the formula to find Cruise Weight Fraction for Prop-Driven Aircraft?

The formula of Cruise Weight Fraction for Prop-Driven Aircraft is expressed as Cruise Weight Fraction Propeller Aircraft = exp((Range of Propeller Aircraft*(-1)*Specific Fuel Consumption)/(Maximum Lift-to-Drag Ratio*Propeller Efficiency)). Here is an example- 0.777777 = exp((7126.017*(-1)*0.000166666666666667)/(5.081527*0.93)).

How to calculate Cruise Weight Fraction for Prop-Driven Aircraft?

With Range of Propeller Aircraft (R_prop), Specific Fuel Consumption (c), Maximum Lift-to-Drag Ratio (LDmax_ratio) & Propeller Efficiency (η) we can find Cruise Weight Fraction for Prop-Driven Aircraft using the formula - Cruise Weight Fraction Propeller Aircraft = exp((Range of Propeller Aircraft*(-1)*Specific Fuel Consumption)/(Maximum Lift-to-Drag Ratio*Propeller Efficiency)). This formula also uses Exponential Growth (exp) function(s).

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Cruise Weight Fraction for Prop-Driven Aircraft Formula

Cruise Weight Fraction for Prop-Driven Aircraft Example

Cruise Weight Fraction for Prop-Driven Aircraft Solution

Cruise Weight Fraction for Prop-Driven Aircraft Formula Elements

Other formulas in Propeller Driven Airplane category

How to Evaluate Cruise Weight Fraction for Prop-Driven Aircraft?

FAQs on Cruise Weight Fraction for Prop-Driven Aircraft

Variable Name