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Endurance of Jet Airplane Formula

GoEndurance for given Lift-to-Drag Ratio 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 = C L \cdot \frac{\ln (\frac{W 0}{W 1})}{C D \cdot c t}

E - Endurance of Aircraft?C_L - Lift Coefficient?W₀ - Gross Weight?W₁ - Weight without Fuel?C_D - Drag Coefficient?c_t - Thrust-Specific Fuel Consumption?

Endurance of Jet Airplane Example

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With units

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Here is how the Endurance of Jet Airplane equation looks like with Values.

Here is how the Endurance of Jet Airplane equation looks like with Units.

Here is how the Endurance of Jet Airplane equation looks like.

452.0581 = 5 \cdot \frac{\ln (\frac{5000}{3000})}{2 \cdot 10.17}

452.0581s = 5 \cdot \frac{\ln (\frac{5000kg}{3000kg})}{2 \cdot 10.17kg/h/N}

452.0581 = 5 \cdot \frac{\ln (\frac{5000}{3000})}{2 \cdot 10.17}

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Endurance of Jet Airplane Solution

Follow our step by step solution on how to calculate Endurance of Jet Airplane?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = 5 \cdot \frac{\ln (\frac{5000kg}{3000kg})}{2 \cdot 10.17kg/h/N}

Next Step Convert Units

∴

E = 5 \cdot \frac{\ln (\frac{5000kg}{3000kg})}{2 \cdot 0.0028kg/s/N}

Next Step Prepare to Evaluate

∴

E = 5 \cdot \frac{\ln (\frac{5000}{3000})}{2 \cdot 0.0028}

Next Step Evaluate

∴

E = 452.058074129195s

LAST Step Rounding Answer

∴

E = 452.0581s

Endurance 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

Lift Coefficient

The Lift Coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area.

Symbol: C_L

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Lift Coefficient

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

Drag Coefficient

Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.

Symbol: C_D

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Drag Coefficient

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

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 for given Lift-to-Drag Ratio of Jet Airplane

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

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 of Jet Airplane?

Endurance of Jet Airplane evaluator uses Endurance of Aircraft = Lift Coefficient*(ln(Gross Weight/Weight without Fuel))/(Drag Coefficient*Thrust-Specific Fuel Consumption) to evaluate the Endurance of Aircraft, Endurance of Jet Airplane is a measure of the aircraft's ability to sustain flight over a period of time, calculated by considering factors such as lift coefficient, gross weight, weight without fuel, drag coefficient, and thrust-specific fuel consumption. Endurance of Aircraft is denoted by E symbol.

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

FAQs on Endurance of Jet Airplane

What is the formula to find Endurance of Jet Airplane?

The formula of Endurance of Jet Airplane is expressed as Endurance of Aircraft = Lift Coefficient*(ln(Gross Weight/Weight without Fuel))/(Drag Coefficient*Thrust-Specific Fuel Consumption). Here is an example- 452.0581 = 5*(ln(5000/3000))/(2*0.002825).

How to calculate Endurance of Jet Airplane?

With Lift Coefficient (C_L), Gross Weight (W₀), Weight without Fuel (W₁), Drag Coefficient (C_D) & Thrust-Specific Fuel Consumption (c_t) we can find Endurance of Jet Airplane using the formula - Endurance of Aircraft = Lift Coefficient*(ln(Gross Weight/Weight without Fuel))/(Drag Coefficient*Thrust-Specific Fuel Consumption). 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=(1/Thrust-Specific Fuel Consumption)*Lift-to-Drag Ratio*ln(Gross Weight/Weight without Fuel)
Endurance of Aircraft=(1/Thrust-Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*ln(Gross Weight/Weight without Fuel)

Can the Endurance of Jet Airplane be negative?

No, the Endurance of Jet Airplane, measured in Time cannot be negative.

Which unit is used to measure Endurance of Jet Airplane?

Endurance 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 of Jet Airplane can be measured.

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: Unit

Endurance of Jet Airplane Formula

​GoEndurance for given Lift-to-Drag Ratio of Jet Airplane Formula

​GoBreguet Endurance Equation Formula

Endurance of Jet Airplane Example

Endurance of Jet Airplane Solution

Endurance of Jet Airplane Formula Elements

Other Formulas to find Endurance of Aircraft

Other formulas in Jet Airplane category

How to Evaluate Endurance of Jet Airplane?

FAQs on Endurance of Jet Airplane

Variable Name

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

GoBreguet Endurance Equation Formula