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Range of Jet Airplane Formula

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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 = (\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}))

R_jet - Range of Jet Aircraft?ρ_∞ - Freestream Density?S - Reference Area?c_t - Thrust-Specific Fuel Consumption?C_D - Drag Coefficient?C_L - Lift Coefficient?W₀ - Gross Weight?W₁ - Weight without Fuel?

Range of Jet Airplane Example

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

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

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

7130.9663 = (\sqrt{\frac{8}{1.225 \cdot 5.11}}) \cdot (\frac{1}{10.17 \cdot 2}) \cdot (\sqrt{5}) \cdot ((\sqrt{5000}) - (\sqrt{3000}))

7130.9663m = (\sqrt{\frac{8}{1.225kg/m³ \cdot 5.11m²}}) \cdot (\frac{1}{10.17kg/h/N \cdot 2}) \cdot (\sqrt{5}) \cdot ((\sqrt{5000kg}) - (\sqrt{3000kg}))

7130.9663 = (\sqrt{\frac{8}{1.225 \cdot 5.11}}) \cdot (\frac{1}{10.17 \cdot 2}) \cdot (\sqrt{5}) \cdot ((\sqrt{5000}) - (\sqrt{3000}))

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Range of Jet Airplane Solution

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

FIRST Step Consider the formula

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}))

Next Step Substitute values of Variables

∴

R jet = (\sqrt{\frac{8}{1.225kg/m³ \cdot 5.11m²}}) \cdot (\frac{1}{10.17kg/h/N \cdot 2}) \cdot (\sqrt{5}) \cdot ((\sqrt{5000kg}) - (\sqrt{3000kg}))

Next Step Convert Units

∴

R jet = (\sqrt{\frac{8}{1.225kg/m³ \cdot 5.11m²}}) \cdot (\frac{1}{0.0028kg/s/N \cdot 2}) \cdot (\sqrt{5}) \cdot ((\sqrt{5000kg}) - (\sqrt{3000kg}))

Next Step Prepare to Evaluate

∴

R jet = (\sqrt{\frac{8}{1.225 \cdot 5.11}}) \cdot (\frac{1}{0.0028 \cdot 2}) \cdot (\sqrt{5}) \cdot ((\sqrt{5000}) - (\sqrt{3000}))

Next Step Evaluate

∴

R jet = 7130.96631373161m

LAST Step Rounding Answer

∴

R jet = 7130.9663m

Range of Jet Airplane Formula Elements

Variables

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

Freestream Density

Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.

Symbol: ρ_∞

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Freestream Density

Reference Area

The Reference Area is arbitrarily an area that is characteristic of the object being considered. For an aircraft wing, the wing's planform area is called the reference wing area or simply wing area.

Symbol: S

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Reference Area

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Range of Jet Aircraft

Go Breguet Range

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

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}

How to Evaluate Range of Jet Airplane?

Range of Jet Airplane evaluator uses 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))) to evaluate the Range of Jet Aircraft, Range of Jet Airplane is a calculation of the maximum distance a jet aircraft can travel, taking into account factors such as freestream density, reference area, thrust-specific fuel consumption, drag coefficient, lift coefficient, gross weight, and weight without fuel, to determine the aircraft's range. Range of Jet Aircraft is denoted by R_jet symbol.

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

FAQs on Range of Jet Airplane

What is the formula to find Range of Jet Airplane?

The formula of Range of Jet Airplane is expressed as 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))). Here is an example- 7130.966 = (sqrt(8/(1.225*5.11)))*(1/(0.002825*2))*(sqrt(5))*((sqrt(5000))-(sqrt(3000))).

How to calculate Range of Jet Airplane?

With Freestream Density (ρ_∞), Reference Area (S), Thrust-Specific Fuel Consumption (c_t), Drag Coefficient (C_D), Lift Coefficient (C_L), Gross Weight (W₀) & Weight without Fuel (W₁) we can find Range of Jet Airplane using the formula - 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))). This formula also uses Square Root (sqrt) 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=(Lift-to-Drag Ratio*Flight Velocity*ln(Initial Weight/Final Weight))/([g]*Thrust-Specific Fuel Consumption)
Range of Jet Aircraft=Flight Velocity/(Thrust-Specific Fuel Consumption*Total Thrust)*int(1,x,Weight without Fuel,Gross Weight)

Can the Range of Jet Airplane be negative?

No, the Range of Jet Airplane, measured in Length cannot be negative.

Which unit is used to measure Range of Jet Airplane?

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

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Range of Jet Airplane Formula

​GoBreguet Range Formula

​GoConstant Speed Cruise using Range Equation Formula

Range of Jet Airplane Example

Range of Jet Airplane Solution

Range of Jet Airplane Formula Elements

Other Formulas to find Range of Jet Aircraft

Other formulas in Jet Airplane category

How to Evaluate Range of Jet Airplane?

FAQs on Range of Jet Airplane

Variable Name

GoBreguet Range Formula

GoConstant Speed Cruise using Range Equation Formula