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

GoRange of Propeller-Driven Airplane Formula

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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 (LD) \cdot (\ln (\frac{W 0}{W 1}))

R_prop - Range of Propeller Aircraft?η - Propeller Efficiency?c - Specific Fuel Consumption?LD - Lift-to-Drag Ratio?W₀ - Gross Weight?W₁ - Weight without Fuel?

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

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Here is how the Range of Propeller-Driven Airplane for given lift-to-drag ratio equation looks like with Values.

Here is how the Range of Propeller-Driven Airplane for given lift-to-drag ratio equation looks like with Units.

Here is how the Range of Propeller-Driven Airplane for given lift-to-drag ratio equation looks like.

7126.0175 = (\frac{0.93}{0.6}) \cdot (2.5) \cdot (\ln (\frac{5000}{3000}))

7126.0175m = (\frac{0.93}{0.6kg/h/W}) \cdot (2.5) \cdot (\ln (\frac{5000kg}{3000kg}))

7126.0175 = (\frac{0.93}{0.6}) \cdot (2.5) \cdot (\ln (\frac{5000}{3000}))

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

Follow our step by step solution on how to calculate Range of Propeller-Driven Airplane for given lift-to-drag ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R prop = (\frac{0.93}{0.6kg/h/W}) \cdot (2.5) \cdot (\ln (\frac{5000kg}{3000kg}))

Next Step Convert Units

∴

R prop = (\frac{0.93}{0.0002kg/s/W}) \cdot (2.5) \cdot (\ln (\frac{5000kg}{3000kg}))

Next Step Prepare to Evaluate

∴

R prop = (\frac{0.93}{0.0002}) \cdot (2.5) \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 for given lift-to-drag ratio 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-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

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

R prop = (\frac{η}{c}) \cdot (\frac{C L}{C D}) \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}))

Go Propeller Efficiency for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane

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

Go Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane

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

How to Evaluate Range of Propeller-Driven Airplane for given lift-to-drag ratio?

Range of Propeller-Driven Airplane for given lift-to-drag ratio evaluator uses Range of Propeller Aircraft = (Propeller Efficiency/Specific Fuel Consumption)*(Lift-to-Drag Ratio)*(ln(Gross Weight/Weight without Fuel)) to evaluate the Range of Propeller Aircraft, Range of Propeller-Driven Airplane for given lift-to-drag ratio is a measure of the maximum distance an airplane can travel, taking into account the efficiency of the propeller, the lift-to-drag ratio, and the weight of the aircraft. It calculates the range of an airplane for a given lift-to-drag ratio, providing valuable insights into the aircraft's performance and capabilities. This formula is essential in aerodynamics and aircraft design. Range of Propeller Aircraft is denoted by R_prop symbol.

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

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

What is the formula to find Range of Propeller-Driven Airplane for given lift-to-drag ratio?

The formula of Range of Propeller-Driven Airplane for given lift-to-drag ratio is expressed as Range of Propeller Aircraft = (Propeller Efficiency/Specific Fuel Consumption)*(Lift-to-Drag Ratio)*(ln(Gross Weight/Weight without Fuel)). Here is an example- 7126.017 = (0.93/0.000166666666666667)*(2.5)*(ln(5000/3000)).

How to calculate Range of Propeller-Driven Airplane for given lift-to-drag ratio?

With Propeller Efficiency (η), Specific Fuel Consumption (c), Lift-to-Drag Ratio (LD), Gross Weight (W₀) & Weight without Fuel (W₁) we can find Range of Propeller-Driven Airplane for given lift-to-drag ratio using the formula - Range of Propeller Aircraft = (Propeller Efficiency/Specific Fuel Consumption)*(Lift-to-Drag Ratio)*(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 Coefficient/Drag Coefficient)*(ln(Gross Weight/Weight without Fuel))

Can the Range of Propeller-Driven Airplane for given lift-to-drag ratio be negative?

No, the Range of Propeller-Driven Airplane for given lift-to-drag ratio, measured in Length cannot be negative.

Which unit is used to measure Range of Propeller-Driven Airplane for given lift-to-drag ratio?

Range of Propeller-Driven Airplane for given lift-to-drag ratio 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 for given lift-to-drag ratio can be measured.

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

​GoRange of Propeller-Driven Airplane Formula

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

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

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

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

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GoRange of Propeller-Driven Airplane Formula