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Cruise Weight Fraction for Jet Aircraft Formula

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Cruise Weight Fraction Jet 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 jet = \exp (\frac{R jet \cdot c \cdot (- 1)}{0.866 \cdot 1.32 \cdot V L/D,max \cdot LDmax ratio})

FW_{cruise jet} - Cruise Weight Fraction Jet Aircraft?R_jet - Range of Jet Aircraft?c - Specific Fuel Consumption?V_L/D,max - Velocity at Maximum Lift to Drag Ratio?LDmax_ratio - Maximum Lift-to-Drag Ratio?

Cruise Weight Fraction for Jet Aircraft Example

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Here is how the Cruise Weight Fraction for Jet Aircraft equation looks like with Values.

Here is how the Cruise Weight Fraction for Jet Aircraft equation looks like with Units.

Here is how the Cruise Weight Fraction for Jet Aircraft equation looks like.

0.823 = \exp (\frac{7130 \cdot 0.6 \cdot (- 1)}{0.866 \cdot 1.32 \cdot 1.05 \cdot 5.0815})

0.823 = \exp (\frac{7130m \cdot 0.6kg/h/W \cdot (- 1)}{0.866 \cdot 1.32 \cdot 1.05m/s \cdot 5.0815})

0.823 = \exp (\frac{7130 \cdot 0.6 \cdot (- 1)}{0.866 \cdot 1.32 \cdot 1.05 \cdot 5.0815})

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Cruise Weight Fraction for Jet Aircraft Solution

Follow our step by step solution on how to calculate Cruise Weight Fraction for Jet Aircraft?

FIRST Step Consider the formula

FW cruise jet = \exp (\frac{R jet \cdot c \cdot (- 1)}{0.866 \cdot 1.32 \cdot V L/D,max \cdot LDmax ratio})

Next Step Substitute values of Variables

∴

FW cruise jet = \exp (\frac{7130m \cdot 0.6kg/h/W \cdot (- 1)}{0.866 \cdot 1.32 \cdot 1.05m/s \cdot 5.0815})

Next Step Convert Units

∴

FW cruise jet = \exp (\frac{7130m \cdot 0.0002kg/s/W \cdot (- 1)}{0.866 \cdot 1.32 \cdot 1.05m/s \cdot 5.0815})

Next Step Prepare to Evaluate

∴

FW cruise jet = \exp (\frac{7130 \cdot 0.0002 \cdot (- 1)}{0.866 \cdot 1.32 \cdot 1.05 \cdot 5.0815})

Next Step Evaluate

∴

FW cruise jet = 0.822971934525021

LAST Step Rounding Answer

∴

FW cruise jet = 0.823

Cruise Weight Fraction for Jet Aircraft Formula Elements

Variables

Functions

Cruise Weight Fraction Jet Aircraft

Cruise Weight Fraction Jet 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 jet}

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Cruise Weight Fraction Jet Aircraft

Range of Jet Aircraft

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

Symbol: R_jet

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Range of Jet 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

Velocity at Maximum Lift to Drag Ratio

Velocity at Maximum Lift to Drag Ratio is the velocity when the ratio of lift and drag coefficient is maximum in value. Basically considered for the cruise phase.

Symbol: V_L/D,max

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity at Maximum Lift to Drag Ratio

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

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 Jet Airplane category

Go Endurance of Jet Airplane

E = C L \cdot \frac{\ln (\frac{W 0}{W 1})}{C D \cdot c t}

Go Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane

c t = C L \cdot \frac{\ln (\frac{W 0}{W 1})}{C D \cdot E}

Go Endurance for given Lift-to-Drag Ratio of Jet Airplane

E = (\frac{1}{c t}) \cdot LD \cdot \ln (\frac{W 0}{W 1})

Go Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag Ratio of Jet Airplane

c t = (\frac{1}{E}) \cdot LD \cdot \ln (\frac{W 0}{W 1})

How to Evaluate Cruise Weight Fraction for Jet Aircraft?

Cruise Weight Fraction for Jet Aircraft evaluator uses Cruise Weight Fraction Jet Aircraft = exp((Range of Jet Aircraft*Specific Fuel Consumption*(-1))/(0.866*1.32*Velocity at Maximum Lift to Drag Ratio*Maximum Lift-to-Drag Ratio)) to evaluate the Cruise Weight Fraction Jet Aircraft, Cruise Weight Fraction for Jet Aircraft is a measure of the proportion of an aircraft's total weight that is dedicated to fuel for cruise, calculated by considering the range of the jet aircraft, specific fuel consumption, maximum lift-to-drag ratio, and velocity at maximum lift to drag ratio, providing insight into the aircraft's fuel efficiency and endurance. Cruise Weight Fraction Jet Aircraft is denoted by FW_{cruise jet} symbol.

How to evaluate Cruise Weight Fraction for Jet Aircraft using this online evaluator? To use this online evaluator for Cruise Weight Fraction for Jet Aircraft, enter Range of Jet Aircraft (R_jet), Specific Fuel Consumption (c), Velocity at Maximum Lift to Drag Ratio (V_L/D,max) & Maximum Lift-to-Drag Ratio (LDmax_ratio) and hit the calculate button.

FAQs on Cruise Weight Fraction for Jet Aircraft

What is the formula to find Cruise Weight Fraction for Jet Aircraft?

The formula of Cruise Weight Fraction for Jet Aircraft is expressed as Cruise Weight Fraction Jet Aircraft = exp((Range of Jet Aircraft*Specific Fuel Consumption*(-1))/(0.866*1.32*Velocity at Maximum Lift to Drag Ratio*Maximum Lift-to-Drag Ratio)). Here is an example- 0.822972 = exp((7130*0.000166666666666667*(-1))/(0.866*1.32*1.05*5.081527)).

How to calculate Cruise Weight Fraction for Jet Aircraft?

With Range of Jet Aircraft (R_jet), Specific Fuel Consumption (c), Velocity at Maximum Lift to Drag Ratio (V_L/D,max) & Maximum Lift-to-Drag Ratio (LDmax_ratio) we can find Cruise Weight Fraction for Jet Aircraft using the formula - Cruise Weight Fraction Jet Aircraft = exp((Range of Jet Aircraft*Specific Fuel Consumption*(-1))/(0.866*1.32*Velocity at Maximum Lift to Drag Ratio*Maximum Lift-to-Drag Ratio)). This formula also uses Exponential Growth (exp) function(s).

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Cruise Weight Fraction for Jet Aircraft Formula

Cruise Weight Fraction for Jet Aircraft Example

Cruise Weight Fraction for Jet Aircraft Solution

Cruise Weight Fraction for Jet Aircraft Formula Elements

Other formulas in Jet Airplane category

How to Evaluate Cruise Weight Fraction for Jet Aircraft?

FAQs on Cruise Weight Fraction for Jet Aircraft

Variable Name