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Breguet Endurance Equation Formula

GoEndurance of Jet Airplane Formula

GoEndurance for given Lift-to-Drag Ratio of Jet Airplane 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 (\frac{C L}{C D}) \cdot \ln (\frac{W 0}{W 1})

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

Breguet Endurance Equation Example

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Here is how the Breguet Endurance Equation equation looks like with Values.

Here is how the Breguet Endurance Equation equation looks like with Units.

Here is how the Breguet Endurance Equation equation looks like.

452.0581 = (\frac{1}{10.17}) \cdot (\frac{5}{2}) \cdot \ln (\frac{5000}{3000})

452.0581s = (\frac{1}{10.17kg/h/N}) \cdot (\frac{5}{2}) \cdot \ln (\frac{5000kg}{3000kg})

452.0581 = (\frac{1}{10.17}) \cdot (\frac{5}{2}) \cdot \ln (\frac{5000}{3000})

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Breguet Endurance Equation Solution

Follow our step by step solution on how to calculate Breguet Endurance Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = (\frac{1}{10.17kg/h/N}) \cdot (\frac{5}{2}) \cdot \ln (\frac{5000kg}{3000kg})

Next Step Convert Units

∴

E = (\frac{1}{0.0028kg/s/N}) \cdot (\frac{5}{2}) \cdot \ln (\frac{5000kg}{3000kg})

Next Step Prepare to Evaluate

∴

E = (\frac{1}{0.0028}) \cdot (\frac{5}{2}) \cdot \ln (\frac{5000}{3000})

Next Step Evaluate

∴

E = 452.058074129195s

LAST Step Rounding Answer

∴

E = 452.0581s

Breguet Endurance Equation 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 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

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

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

E = (\frac{1}{c t}) \cdot LD \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 Breguet Endurance Equation?

Breguet Endurance Equation evaluator uses Endurance of Aircraft = (1/Thrust-Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*ln(Gross Weight/Weight without Fuel) to evaluate the Endurance of Aircraft, Breguet Endurance Equation is a mathematical formula used to estimate the endurance of an aircraft, which is the time an aircraft can stay in the air without refueling, it takes into account the thrust-specific fuel consumption, lift and drag coefficients, gross weight, and weight without fuel to calculate the maximum endurance of an aircraft. Endurance of Aircraft is denoted by E symbol.

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

FAQs on Breguet Endurance Equation

What is the formula to find Breguet Endurance Equation?

The formula of Breguet Endurance Equation is expressed as Endurance of Aircraft = (1/Thrust-Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*ln(Gross Weight/Weight without Fuel). Here is an example- 452.0581 = (1/0.002825)*(5/2)*ln(5000/3000).

How to calculate Breguet Endurance Equation?

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

Can the Breguet Endurance Equation be negative?

No, the Breguet Endurance Equation, measured in Time cannot be negative.

Which unit is used to measure Breguet Endurance Equation?

Breguet Endurance Equation is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Breguet Endurance Equation can be measured.

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: Unit

Breguet Endurance Equation Formula

​GoEndurance of Jet Airplane Formula

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

Breguet Endurance Equation Example

Breguet Endurance Equation Solution

Breguet Endurance Equation Formula Elements

Other Formulas to find Endurance of Aircraft

Other formulas in Jet Airplane category

How to Evaluate Breguet Endurance Equation?

FAQs on Breguet Endurance Equation

Variable Name

GoEndurance of Jet Airplane Formula

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