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

GoEndurance of Jet Airplane Formula

GoBreguet Endurance Equation Formula

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

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

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

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

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

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

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

452.0581 = (\frac{1}{10.17}) \cdot 2.5 \cdot \ln (\frac{5000}{3000})

452.0581s = (\frac{1}{10.17kg/h/N}) \cdot 2.5 \cdot \ln (\frac{5000kg}{3000kg})

452.0581 = (\frac{1}{10.17}) \cdot 2.5 \cdot \ln (\frac{5000}{3000})

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = (\frac{1}{10.17kg/h/N}) \cdot 2.5 \cdot \ln (\frac{5000kg}{3000kg})

Next Step Convert Units

∴

E = (\frac{1}{0.0028kg/s/N}) \cdot 2.5 \cdot \ln (\frac{5000kg}{3000kg})

Next Step Prepare to Evaluate

∴

E = (\frac{1}{0.0028}) \cdot 2.5 \cdot \ln (\frac{5000}{3000})

Next Step Evaluate

∴

E = 452.058074129195s

LAST Step Rounding Answer

∴

E = 452.0581s

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

Variables

Functions

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

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

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

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 to find Endurance of Aircraft

Go Endurance of Jet Airplane

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

Go Breguet Endurance Equation

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

Other formulas in Jet Airplane category

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 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})

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

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

Go Range of Jet Airplane

R jet = (\sqrt{\frac{8}{ρ ∞ \cdot S}}) \cdot (\frac{1}{c t \cdot C D}) \cdot (\sqrt{C L}) \cdot ((\sqrt{W 0}) - (\sqrt{W 1}))

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

Endurance for given Lift-to-Drag Ratio of Jet Airplane evaluator uses Endurance of Aircraft = (1/Thrust-Specific Fuel Consumption)*Lift-to-Drag Ratio*ln(Gross Weight/Weight without Fuel) to evaluate the Endurance of Aircraft, Endurance for given Lift-to-Drag Ratio of Jet Airplane is a measure of the duration for which an aircraft can remain airborne, taking into account its specific fuel consumption, lift-to-drag ratio and weight of aircraft, it represents the airplane's ability to conserve fuel while sustaining flight, this formula helps engineers and pilots estimate the maximum time an aircraft can stay aloft. Endurance of Aircraft is denoted by E symbol.

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

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

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

The formula of Endurance for given Lift-to-Drag Ratio of Jet Airplane is expressed as Endurance of Aircraft = (1/Thrust-Specific Fuel Consumption)*Lift-to-Drag Ratio*ln(Gross Weight/Weight without Fuel). Here is an example- 452.0581 = (1/0.002825)*2.5*ln(5000/3000).

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

With Thrust-Specific Fuel Consumption (c_t), Lift-to-Drag Ratio (LD), Gross Weight (W₀) & Weight without Fuel (W₁) we can find Endurance for given Lift-to-Drag Ratio of Jet Airplane using the formula - Endurance of Aircraft = (1/Thrust-Specific Fuel Consumption)*Lift-to-Drag Ratio*ln(Gross Weight/Weight without Fuel). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Endurance of Aircraft?

Here are the different ways to Calculate Endurance of Aircraft-

Endurance of Aircraft=Lift Coefficient*(ln(Gross Weight/Weight without Fuel))/(Drag Coefficient*Thrust-Specific Fuel Consumption)
Endurance of Aircraft=(1/Thrust-Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*ln(Gross Weight/Weight without Fuel)

Can the Endurance for given Lift-to-Drag Ratio of Jet Airplane be negative?

No, the Endurance for given Lift-to-Drag Ratio of Jet Airplane, measured in Time cannot be negative.

Which unit is used to measure Endurance for given Lift-to-Drag Ratio of Jet Airplane?

Endurance for given Lift-to-Drag Ratio of Jet Airplane is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Endurance for given Lift-to-Drag Ratio of Jet Airplane can be measured.

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

​GoEndurance of Jet Airplane Formula

​GoBreguet Endurance Equation Formula

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

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

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

Other Formulas to find Endurance of Aircraft

Other formulas in Jet Airplane category

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

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

Variable Name

GoEndurance of Jet Airplane Formula

GoBreguet Endurance Equation Formula