Range of Propeller-Driven Airplane Solution

STEP 0: Pre-Calculation Summary
Formula Used
Range of Propeller Aircraft = (Propeller Efficiency/Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*(ln(Gross Weight/Weight without Fuel))
Rprop = (η/c)*(CL/CD)*(ln(W0/W1))
This formula uses 1 Functions, 7 Variables
Functions Used
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
Variables Used
Range of Propeller Aircraft - (Measured in Meter) - Range of Propeller Aircraft is defined as the total distance (measured with respect to ground) traversed by the aircraft on a tank of fuel.
Propeller Efficiency - Propeller Efficiency is defined as power produced (propeller power) divided by power applied (engine power).
Specific Fuel Consumption - (Measured in Kilogram per Second per Watt) - Specific Fuel Consumption is a characteristic of the engine and defined as the weight of fuel consumed per unit power per unit time.
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.
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.
Gross Weight - (Measured in Kilogram) - The Gross Weight of the airplane is the weight with full fuel and payload.
Weight without Fuel - (Measured in Kilogram) - Weight without Fuel is the total weight of the airplane without fuel.
STEP 1: Convert Input(s) to Base Unit
Propeller Efficiency: 0.93 --> No Conversion Required
Specific Fuel Consumption: 0.6 Kilogram per Hour per Watt --> 0.000166666666666667 Kilogram per Second per Watt (Check conversion ​here)
Lift Coefficient: 5 --> No Conversion Required
Drag Coefficient: 2 --> No Conversion Required
Gross Weight: 5000 Kilogram --> 5000 Kilogram No Conversion Required
Weight without Fuel: 3000 Kilogram --> 3000 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rprop = (η/c)*(CL/CD)*(ln(W0/W1)) --> (0.93/0.000166666666666667)*(5/2)*(ln(5000/3000))
Evaluating ... ...
Rprop = 7126.01745153556
STEP 3: Convert Result to Output's Unit
7126.01745153556 Meter --> No Conversion Required
FINAL ANSWER
7126.01745153556 7126.017 Meter <-- Range of Propeller Aircraft
(Calculation completed in 00.005 seconds)

Credits

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Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
Vinay Mishra has created this Calculator and 300+ more calculators!
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Verified by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Propeller Driven Airplane Calculators

Specific Fuel Consumption for given Range of Propeller-Driven Airplane
​ LaTeX ​ Go Specific Fuel Consumption = (Propeller Efficiency/Range of Propeller Aircraft)*(Lift Coefficient/Drag Coefficient)*(ln(Gross Weight/Weight without Fuel))
Range of Propeller-Driven Airplane
​ LaTeX ​ Go Range of Propeller Aircraft = (Propeller Efficiency/Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*(ln(Gross Weight/Weight without Fuel))
Propeller Efficiency for given Range of Propeller-Driven Airplane
​ LaTeX ​ Go Propeller Efficiency = Range of Propeller Aircraft*Specific Fuel Consumption*Drag Coefficient/(Lift Coefficient*ln(Gross Weight/Weight without Fuel))
Range of Propeller-Driven Airplane for given lift-to-drag ratio
​ LaTeX ​ Go Range of Propeller Aircraft = (Propeller Efficiency/Specific Fuel Consumption)*(Lift-to-Drag Ratio)*(ln(Gross Weight/Weight without Fuel))

Range of Propeller-Driven Airplane Formula

​LaTeX ​Go
Range of Propeller Aircraft = (Propeller Efficiency/Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*(ln(Gross Weight/Weight without Fuel))
Rprop = (η/c)*(CL/CD)*(ln(W0/W1))

What does Breguet range equation tell?

Breguet range equation tells engineers how far an airplane can fly given a certain set of parameters, and therefore greatly influences the design of modern jet engines and airframes.

How to Calculate Range of Propeller-Driven Airplane?

Range of Propeller-Driven Airplane calculator uses Range of Propeller Aircraft = (Propeller Efficiency/Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*(ln(Gross Weight/Weight without Fuel)) to calculate 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 Rprop symbol.

How to calculate Range of Propeller-Driven Airplane using this online calculator? To use this online calculator for Range of Propeller-Driven Airplane, enter Propeller Efficiency (η), Specific Fuel Consumption (c), Lift Coefficient (CL), Drag Coefficient (CD), Gross Weight (W0) & Weight without Fuel (W1) and hit the calculate button. Here is how the Range of Propeller-Driven Airplane calculation can be explained with given input values -> 7126.017 = (0.93/0.000166666666666667)*(5/2)*(ln(5000/3000)).

FAQ

What is Range of Propeller-Driven Airplane?
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 and is represented as Rprop = (η/c)*(CL/CD)*(ln(W0/W1)) or Range of Propeller Aircraft = (Propeller Efficiency/Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*(ln(Gross Weight/Weight without Fuel)). Propeller Efficiency is defined as power produced (propeller power) divided by power applied (engine power), Specific Fuel Consumption is a characteristic of the engine and defined as the weight of fuel consumed per unit power per unit time, 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, 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, The Gross Weight of the airplane is the weight with full fuel and payload & Weight without Fuel is the total weight of the airplane without fuel.
How to calculate Range of Propeller-Driven Airplane?
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 is calculated using Range of Propeller Aircraft = (Propeller Efficiency/Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*(ln(Gross Weight/Weight without Fuel)). To calculate Range of Propeller-Driven Airplane, you need Propeller Efficiency (η), Specific Fuel Consumption (c), Lift Coefficient (CL), Drag Coefficient (CD), Gross Weight (W0) & Weight without Fuel (W1). With our tool, you need to enter the respective value for Propeller Efficiency, Specific Fuel Consumption, Lift Coefficient, Drag Coefficient, Gross Weight & Weight without Fuel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Range of Propeller Aircraft?
In this formula, Range of Propeller Aircraft uses Propeller Efficiency, Specific Fuel Consumption, Lift Coefficient, Drag Coefficient, Gross Weight & Weight without Fuel. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Range of Propeller Aircraft = (Propeller Efficiency/Specific Fuel Consumption)*(Lift-to-Drag Ratio)*(ln(Gross Weight/Weight without Fuel))
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