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

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The Lift-to-Drag Ratio is the amount of lift generated by a wing or vehicle, divided by the aerodynamic drag it creates by moving through the air. Check FAQs

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

LD - Lift-to-Drag Ratio?c_t - Thrust-Specific Fuel Consumption?E - Endurance of Aircraft?W₀ - Gross Weight?W₁ - Weight without Fuel?

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

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Here is how the Lift-to-Drag Ratio for given Endurance of Jet Airplane equation looks like with Values.

Here is how the Lift-to-Drag Ratio for given Endurance of Jet Airplane equation looks like with Units.

Here is how the Lift-to-Drag Ratio for given Endurance of Jet Airplane equation looks like.

2.5 = 10.17 \cdot \frac{452.0581}{\ln (\frac{5000}{3000})}

2.5 = 10.17kg/h/N \cdot \frac{452.0581s}{\ln (\frac{5000kg}{3000kg})}

2.5 = 10.17 \cdot \frac{452.0581}{\ln (\frac{5000}{3000})}

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

Follow our step by step solution on how to calculate Lift-to-Drag Ratio for given Endurance of Jet Airplane?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LD = 10.17kg/h/N \cdot \frac{452.0581s}{\ln (\frac{5000kg}{3000kg})}

Next Step Convert Units

∴

LD = 0.0028kg/s/N \cdot \frac{452.0581s}{\ln (\frac{5000kg}{3000kg})}

Next Step Prepare to Evaluate

∴

LD = 0.0028 \cdot \frac{452.0581}{\ln (\frac{5000}{3000})}

Next Step Evaluate

∴

LD = 2.50000014307235

LAST Step Rounding Answer

∴

LD = 2.5

Lift-to-Drag Ratio for given Endurance of Jet Airplane Formula Elements

Variables

Functions

Lift-to-Drag Ratio

The Lift-to-Drag Ratio is the amount of lift generated by a wing or vehicle, divided by the aerodynamic drag it creates by moving through the air.

Symbol: LD

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Lift-to-Drag Ratio

Thrust-Specific Fuel Consumption

Thrust-Specific Fuel Consumption (TSFC) is the fuel efficiency of an engine design with respect to thrust output.

Symbol: c_t

Measurement: Thrust Specific Fuel ConsumptionUnit: kg/h/N

Note: Value should be greater than 0.

Formulas to find Thrust-Specific Fuel Consumption

Endurance of Aircraft

Endurance of Aircraft is the maximum length of time that an aircraft can spend in cruising flight.

Symbol: E

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Endurance of Aircraft

Gross Weight

The Gross Weight of the airplane is the weight with full fuel and payload.

Symbol: W₀

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Gross Weight

Weight without Fuel

Weight without Fuel is the total weight of the airplane without fuel.

Symbol: W₁

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Weight without Fuel

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(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 Lift-to-Drag Ratio for given Endurance of Jet Airplane?

Lift-to-Drag Ratio for given Endurance of Jet Airplane evaluator uses Lift-to-Drag Ratio = Thrust-Specific Fuel Consumption*Endurance of Aircraft/(ln(Gross Weight/Weight without Fuel)) to evaluate the Lift-to-Drag Ratio, Lift-to-Drag Ratio for given Endurance of Jet Airplane is a measure of the efficiency of an aircraft's aerodynamic performance, calculated by considering the thrust-specific fuel consumption, endurance and gross weight, providing a performance indicator for jet airplane designers and engineers to optimize their designs. Lift-to-Drag Ratio is denoted by LD symbol.

How to evaluate Lift-to-Drag Ratio for given Endurance of Jet Airplane using this online evaluator? To use this online evaluator for Lift-to-Drag Ratio for given Endurance of Jet Airplane, enter Thrust-Specific Fuel Consumption (c_t), Endurance of Aircraft (E), Gross Weight (W₀) & Weight without Fuel (W₁) and hit the calculate button.

FAQs on Lift-to-Drag Ratio for given Endurance of Jet Airplane

What is the formula to find Lift-to-Drag Ratio for given Endurance of Jet Airplane?

The formula of Lift-to-Drag Ratio for given Endurance of Jet Airplane is expressed as Lift-to-Drag Ratio = Thrust-Specific Fuel Consumption*Endurance of Aircraft/(ln(Gross Weight/Weight without Fuel)). Here is an example- 2.499679 = 0.002825*452.0581/(ln(5000/3000)).

How to calculate Lift-to-Drag Ratio for given Endurance of Jet Airplane?

With Thrust-Specific Fuel Consumption (c_t), Endurance of Aircraft (E), Gross Weight (W₀) & Weight without Fuel (W₁) we can find Lift-to-Drag Ratio for given Endurance of Jet Airplane using the formula - Lift-to-Drag Ratio = Thrust-Specific Fuel Consumption*Endurance of Aircraft/(ln(Gross Weight/Weight without Fuel)). This formula also uses Natural Logarithm (ln) function(s).

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

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

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

Lift-to-Drag Ratio for given Endurance of Jet Airplane Formula Elements

Other formulas in Jet Airplane category

How to Evaluate Lift-to-Drag Ratio for given Endurance of Jet Airplane?

FAQs on Lift-to-Drag Ratio for given Endurance of Jet Airplane

Variable Name