FormulaDen.com

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

Range of Propeller-Driven Airplane Formula

GoRange of Propeller-Driven Airplane for given lift-to-drag ratio Formula

Fx Copy

LaTeX Copy

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

R prop = (\frac{η}{c}) \cdot (\frac{C L}{C D}) \cdot (\ln (\frac{W 0}{W 1}))

R_prop - Range of Propeller Aircraft?η - Propeller Efficiency?c - Specific Fuel Consumption?C_L - Lift Coefficient?C_D - Drag Coefficient?W₀ - Gross Weight?W₁ - Weight without Fuel?

Range of Propeller-Driven Airplane Example

With values

With units

Only example

Here is how the Range of Propeller-Driven Airplane equation looks like with Values.

Here is how the Range of Propeller-Driven Airplane equation looks like with Units.

Here is how the Range of Propeller-Driven Airplane equation looks like.

7126.0175 = (\frac{0.93}{0.6}) \cdot (\frac{5}{2}) \cdot (\ln (\frac{5000}{3000}))

7126.0175m = (\frac{0.93}{0.6kg/h/W}) \cdot (\frac{5}{2}) \cdot (\ln (\frac{5000kg}{3000kg}))

7126.0175 = (\frac{0.93}{0.6}) \cdot (\frac{5}{2}) \cdot (\ln (\frac{5000}{3000}))

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 Range of Propeller-Driven Airplane

Range of Propeller-Driven Airplane Solution

Follow our step by step solution on how to calculate Range of Propeller-Driven Airplane?

FIRST Step Consider the formula

R prop = (\frac{η}{c}) \cdot (\frac{C L}{C D}) \cdot (\ln (\frac{W 0}{W 1}))

Next Step Substitute values of Variables

∴

R prop = (\frac{0.93}{0.6kg/h/W}) \cdot (\frac{5}{2}) \cdot (\ln (\frac{5000kg}{3000kg}))

Next Step Convert Units

∴

R prop = (\frac{0.93}{0.0002kg/s/W}) \cdot (\frac{5}{2}) \cdot (\ln (\frac{5000kg}{3000kg}))

Next Step Prepare to Evaluate

∴

R prop = (\frac{0.93}{0.0002}) \cdot (\frac{5}{2}) \cdot (\ln (\frac{5000}{3000}))

Next Step Evaluate

∴

R prop = 7126.01745153556m

LAST Step Rounding Answer

∴

R prop = 7126.0175m

Range of Propeller-Driven Airplane Formula Elements

Variables

Functions

Range of Propeller Aircraft

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

Symbol: R_prop

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Range of Propeller Aircraft

Propeller Efficiency

Propeller Efficiency is defined as power produced (propeller power) divided by power applied (engine power).

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Propeller Efficiency

Specific Fuel Consumption

Specific Fuel Consumption is a characteristic of the engine and defined as the weight of fuel consumed per unit power per unit time.

Symbol: c

Measurement: Specific Fuel ConsumptionUnit: kg/h/W

Note: Value should be greater than 0.

Formulas to find 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 Range of Propeller Aircraft

Go Range of Propeller-Driven Airplane for given lift-to-drag ratio

R prop = (\frac{η}{c}) \cdot (LD) \cdot (\ln (\frac{W 0}{W 1}))

Other formulas in Propeller Driven Airplane category

Go Propeller Efficiency for given Range of Propeller-Driven Airplane

η = R prop \cdot c \cdot \frac{C D}{C L \cdot \ln (\frac{W 0}{W 1})}

Go Specific Fuel Consumption for given Range of Propeller-Driven Airplane

c = (\frac{η}{R prop}) \cdot (\frac{C L}{C D}) \cdot (\ln (\frac{W 0}{W 1}))

How to Evaluate Range of Propeller-Driven Airplane?

Range of Propeller-Driven Airplane evaluator uses Range of Propeller Aircraft = (Propeller Efficiency/Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*(ln(Gross Weight/Weight without Fuel)) to evaluate the Range of Propeller Aircraft, Range of Propeller-Driven Airplane is a measure of the maximum distance an aircraft can travel, calculated by considering the propeller efficiency, specific fuel consumption, lift coefficient, drag coefficient, gross weight, and weight without fuel, giving insights into the aircraft's performance and fuel efficiency. Range of Propeller Aircraft is denoted by R_prop symbol.

How to evaluate Range of Propeller-Driven Airplane using this online evaluator? To use this online evaluator for Range of Propeller-Driven Airplane, enter Propeller Efficiency (η), Specific Fuel Consumption (c), Lift Coefficient (C_L), Drag Coefficient (C_D), Gross Weight (W₀) & Weight without Fuel (W₁) and hit the calculate button.

FAQs on Range of Propeller-Driven Airplane

What is the formula to find Range of Propeller-Driven Airplane?

The formula of Range of Propeller-Driven Airplane is expressed as Range of Propeller Aircraft = (Propeller Efficiency/Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*(ln(Gross Weight/Weight without Fuel)). Here is an example- 7126.017 = (0.93/0.000166666666666667)*(5/2)*(ln(5000/3000)).

How to calculate Range of Propeller-Driven Airplane?

With Propeller Efficiency (η), Specific Fuel Consumption (c), Lift Coefficient (C_L), Drag Coefficient (C_D), Gross Weight (W₀) & Weight without Fuel (W₁) we can find Range of Propeller-Driven Airplane using the formula - Range of Propeller Aircraft = (Propeller Efficiency/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 Range of Propeller Aircraft?

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

Range of Propeller Aircraft=(Propeller Efficiency/Specific Fuel Consumption)*(Lift-to-Drag Ratio)*(ln(Gross Weight/Weight without Fuel))

Can the Range of Propeller-Driven Airplane be negative?

No, the Range of Propeller-Driven Airplane, measured in Length cannot be negative.

Which unit is used to measure Range of Propeller-Driven Airplane?

Range of Propeller-Driven 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 Propeller-Driven Airplane can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Range of Propeller-Driven Airplane Formula

​GoRange of Propeller-Driven Airplane for given lift-to-drag ratio Formula

Range of Propeller-Driven Airplane Example

Range of Propeller-Driven Airplane Solution

Range of Propeller-Driven Airplane Formula Elements

Other Formulas to find Range of Propeller Aircraft

Other formulas in Propeller Driven Airplane category

How to Evaluate Range of Propeller-Driven Airplane?

FAQs on Range of Propeller-Driven Airplane

Variable Name

GoRange of Propeller-Driven Airplane for given lift-to-drag ratio Formula