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Breguet Range Formula

GoRange of Jet Airplane Formula

GoConstant Speed Cruise using Range Equation Formula

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

R jet = \frac{LD \cdot V \cdot \ln (\frac{w i}{w f})}{[g] \cdot c t}

R_jet - Range of Jet Aircraft?LD - Lift-to-Drag Ratio?V - Flight Velocity?w_i - Initial Weight?w_f - Final Weight?c_t - Thrust-Specific Fuel Consumption?[g] - Gravitational acceleration on Earth?

Breguet Range Example

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Here is how the Breguet Range equation looks like with Values.

Here is how the Breguet Range equation looks like with Units.

Here is how the Breguet Range equation looks like.

7130.684 = \frac{2.5 \cdot 114 \cdot \ln (\frac{200}{100})}{9.8066 \cdot 10.17}

7130.684m = \frac{2.5 \cdot 114m/s \cdot \ln (\frac{200kg}{100kg})}{9.8066m/s² \cdot 10.17kg/h/N}

7130.684 = \frac{2.5 \cdot 114 \cdot \ln (\frac{200}{100})}{9.8066 \cdot 10.17}

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Breguet Range Solution

Follow our step by step solution on how to calculate Breguet Range?

FIRST Step Consider the formula

R jet = \frac{LD \cdot V \cdot \ln (\frac{w i}{w f})}{[g] \cdot c t}

Next Step Substitute values of Variables

∴

R jet = \frac{2.5 \cdot 114m/s \cdot \ln (\frac{200kg}{100kg})}{[g] \cdot 10.17kg/h/N}

Next Step Substitute values of Constants

∴

R jet = \frac{2.5 \cdot 114m/s \cdot \ln (\frac{200kg}{100kg})}{9.8066m/s² \cdot 10.17kg/h/N}

Next Step Convert Units

∴

R jet = \frac{2.5 \cdot 114m/s \cdot \ln (\frac{200kg}{100kg})}{9.8066m/s² \cdot 0.0028kg/s/N}

Next Step Prepare to Evaluate

∴

R jet = \frac{2.5 \cdot 114 \cdot \ln (\frac{200}{100})}{9.8066 \cdot 0.0028}

Next Step Evaluate

∴

R jet = 7130.68403996888m

LAST Step Rounding Answer

∴

R jet = 7130.684m

Breguet Range Formula Elements

Variables

Constants

Functions

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

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

Flight Velocity

Flight Velocity is the speed with which the aircraft moves through the air.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Flight Velocity

Initial Weight

Initial Weight is the weight of the aircraft at the starting point of the flight before takeoff.

Symbol: w_i

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Initial Weight

Final Weight

Final Weight is the weight of the aircraft after landing at the end of the destination.

Symbol: w_f

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Final Weight

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

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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 Range of Jet Aircraft

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}))

Go Constant Speed Cruise using Range Equation

R jet = \frac{V}{c t \cdot T total} \cdot \int (1, x, W 1, W 0)

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 Breguet Range?

Breguet Range evaluator uses Range of Jet Aircraft = (Lift-to-Drag Ratio*Flight Velocity*ln(Initial Weight/Final Weight))/([g]*Thrust-Specific Fuel Consumption) to evaluate the Range of Jet Aircraft, Breguet Range is a measure of the maximum distance an aircraft can travel, calculated by considering factors such as lift-to-drag ratio, flight velocity, initial and final weights, and thrust-specific fuel consumption, providing a critical performance indicator for jet aircraft. Range of Jet Aircraft is denoted by R_jet symbol.

How to evaluate Breguet Range using this online evaluator? To use this online evaluator for Breguet Range, enter Lift-to-Drag Ratio (LD), Flight Velocity (V), Initial Weight (w_i), Final Weight (w_f) & Thrust-Specific Fuel Consumption (c_t) and hit the calculate button.

FAQs on Breguet Range

What is the formula to find Breguet Range?

The formula of Breguet Range is expressed as Range of Jet Aircraft = (Lift-to-Drag Ratio*Flight Velocity*ln(Initial Weight/Final Weight))/([g]*Thrust-Specific Fuel Consumption). Here is an example- 7134.437 = (2.5*114*ln(200/100))/([g]*0.002825).

How to calculate Breguet Range?

With Lift-to-Drag Ratio (LD), Flight Velocity (V), Initial Weight (w_i), Final Weight (w_f) & Thrust-Specific Fuel Consumption (c_t) we can find Breguet Range using the formula - Range of Jet Aircraft = (Lift-to-Drag Ratio*Flight Velocity*ln(Initial Weight/Final Weight))/([g]*Thrust-Specific Fuel Consumption). This formula also uses Gravitational acceleration on Earth constant(s) and Natural Logarithm (ln) function(s).

What are the other ways to Calculate Range of Jet Aircraft?

Here are the different ways to Calculate Range of Jet Aircraft-

Range of Jet Aircraft=(sqrt(8/(Freestream Density*Reference Area)))*(1/(Thrust-Specific Fuel Consumption*Drag Coefficient))*(sqrt(Lift Coefficient))*((sqrt(Gross Weight))-(sqrt(Weight without Fuel)))
Range of Jet Aircraft=Flight Velocity/(Thrust-Specific Fuel Consumption*Total Thrust)*int(1,x,Weight without Fuel,Gross Weight)

Can the Breguet Range be negative?

No, the Breguet Range, measured in Length cannot be negative.

Which unit is used to measure Breguet Range?

Breguet Range is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Breguet Range can be measured.

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Breguet Range Formula

​GoRange of Jet Airplane Formula

​GoConstant Speed Cruise using Range Equation Formula

Breguet Range Example

Breguet Range Solution

Breguet Range Formula Elements

Other Formulas to find Range of Jet Aircraft

Other formulas in Jet Airplane category

How to Evaluate Breguet Range?

FAQs on Breguet Range

Variable Name

GoRange of Jet Airplane Formula

GoConstant Speed Cruise using Range Equation Formula