FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Constant Speed Cruise using Range Equation Formula

GoRange of Jet Airplane Formula

GoBreguet Range Formula

Fx Copy

LaTeX Copy

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

R_jet - Range of Jet Aircraft?V - Flight Velocity?c_t - Thrust-Specific Fuel Consumption?T_total - Total Thrust?W₁ - Weight without Fuel?W₀ - Gross Weight?

Constant Speed Cruise using Range Equation Example

With values

With units

Only example

Here is how the Constant Speed Cruise using Range Equation equation looks like with Values.

Here is how the Constant Speed Cruise using Range Equation equation looks like with Units.

Here is how the Constant Speed Cruise using Range Equation equation looks like.

7130.3087 = \frac{114}{10.17 \cdot 11319} \cdot \int (1, x, 3000, 5000)

7130.3087m = \frac{114m/s}{10.17kg/h/N \cdot 11319N} \cdot \int (1, x, 3000kg, 5000kg)

7130.3087 = \frac{114}{10.17 \cdot 11319} \cdot \int (1, x, 3000, 5000)

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Aerospace » Category

Aircraft Mechanics » fx Constant Speed Cruise using Range Equation

Constant Speed Cruise using Range Equation Solution

Follow our step by step solution on how to calculate Constant Speed Cruise using Range Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R jet = \frac{114m/s}{10.17kg/h/N \cdot 11319N} \cdot \int (1, x, 3000kg, 5000kg)

Next Step Convert Units

∴

R jet = \frac{114m/s}{0.0028kg/s/N \cdot 11319N} \cdot \int (1, x, 3000kg, 5000kg)

Next Step Prepare to Evaluate

∴

R jet = \frac{114}{0.0028 \cdot 11319} \cdot \int (1, x, 3000, 5000)

Next Step Evaluate

∴

R jet = 7130.30873767735m

LAST Step Rounding Answer

∴

R jet = 7130.3087m

Constant Speed Cruise using Range Equation 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

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

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

Total Thrust

Total Thrust is the sum of all the thrusts produced in a system or plant.

Symbol: T_total

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Total Thrust

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

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

int

The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis.

Syntax: int(expr, arg, from, to)

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 Breguet Range

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

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 Constant Speed Cruise using Range Equation?

Constant Speed Cruise using Range Equation evaluator uses Range of Jet Aircraft = Flight Velocity/(Thrust-Specific Fuel Consumption*Total Thrust)*int(1,x,Weight without Fuel,Gross Weight) to evaluate the Range of Jet Aircraft, Constant Speed Cruise using Range Equation is a method to calculate the range of a jet aircraft, taking into account the flight velocity, thrust specific fuel consumption, and weight of the aircraft, to determine the maximum distance it can travel at a constant speed. Range of Jet Aircraft is denoted by R_jet symbol.

How to evaluate Constant Speed Cruise using Range Equation using this online evaluator? To use this online evaluator for Constant Speed Cruise using Range Equation, enter Flight Velocity (V), Thrust-Specific Fuel Consumption (c_t), Total Thrust (T_total), Weight without Fuel (W₁) & Gross Weight (W₀) and hit the calculate button.

FAQs on Constant Speed Cruise using Range Equation

What is the formula to find Constant Speed Cruise using Range Equation?

The formula of Constant Speed Cruise using Range Equation is expressed as Range of Jet Aircraft = Flight Velocity/(Thrust-Specific Fuel Consumption*Total Thrust)*int(1,x,Weight without Fuel,Gross Weight). Here is an example- 7129.679 = 114/(0.002825*11319)*int(1,x,3000,5000).

How to calculate Constant Speed Cruise using Range Equation?

With Flight Velocity (V), Thrust-Specific Fuel Consumption (c_t), Total Thrust (T_total), Weight without Fuel (W₁) & Gross Weight (W₀) we can find Constant Speed Cruise using Range Equation using the formula - Range of Jet Aircraft = Flight Velocity/(Thrust-Specific Fuel Consumption*Total Thrust)*int(1,x,Weight without Fuel,Gross Weight). This formula also uses Definite Integral (int) 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=(Lift-to-Drag Ratio*Flight Velocity*ln(Initial Weight/Final Weight))/([g]*Thrust-Specific Fuel Consumption)

Can the Constant Speed Cruise using Range Equation be negative?

No, the Constant Speed Cruise using Range Equation, measured in Length cannot be negative.

Which unit is used to measure Constant Speed Cruise using Range Equation?

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Constant Speed Cruise using Range Equation Formula

​GoRange of Jet Airplane Formula

​GoBreguet Range Formula

Constant Speed Cruise using Range Equation Example

Constant Speed Cruise using Range Equation Solution

Constant Speed Cruise using Range Equation Formula Elements

Other Formulas to find Range of Jet Aircraft

Other formulas in Jet Airplane category

How to Evaluate Constant Speed Cruise using Range Equation?

FAQs on Constant Speed Cruise using Range Equation

Variable Name

GoRange of Jet Airplane Formula

GoBreguet Range Formula