Propeller Efficiency for given Range of Propeller-Driven Airplane Calculator

✖Range of Propeller Aircraft is defined as the total distance (measured with respect to ground) traversed by the aircraft on a tank of fuel.ⓘ Range of Propeller Aircraft [R_prop]			+10% -10%
✖Specific Fuel Consumption is a characteristic of the engine and defined as the weight of fuel consumed per unit power per unit time.ⓘ Specific Fuel Consumption [c]			+10% -10%
✖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.ⓘ Drag Coefficient [C_D]			+10% -10%
✖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.ⓘ Lift Coefficient [C_L]			+10% -10%
✖The Gross Weight of the airplane is the weight with full fuel and payload.ⓘ Gross Weight [W₀]			+10% -10%
✖Weight without Fuel is the total weight of the airplane without fuel.ⓘ Weight without Fuel [W₁]			+10% -10%

✖Propeller Efficiency is defined as power produced (propeller power) divided by power applied (engine power).ⓘ Propeller Efficiency for given Range of Propeller-Driven Airplane [η]

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Propeller Efficiency for given Range of Propeller-Driven Airplane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Propeller Efficiency = Range of Propeller Aircraft*Specific Fuel Consumption*Drag Coefficient/(Lift Coefficient*ln(Gross Weight/Weight without Fuel))
η = R_prop*c*C_D/(C_L*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

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

Range of Propeller Aircraft: 7126.017 Meter --> 7126.017 Meter No Conversion Required
Specific Fuel Consumption: 0.6 Kilogram per Hour per Watt --> 0.000166666666666667 Kilogram per Second per Watt (Check conversion here)
Drag Coefficient: 2 --> No Conversion Required
Lift Coefficient: 5 --> 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

η = R_prop*c*C_D/(C_L*ln(W₀/W₁)) --> 7126.017*0.000166666666666667*2/(5*ln(5000/3000))

Evaluating ... ...

η = 0.929999941071142

STEP 3: Convert Result to Output's Unit

0.929999941071142 --> No Conversion Required

FINAL ANSWER

0.929999941071142 ≈ 0.93 <-- Propeller Efficiency

(Calculation completed in 00.004 seconds)

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Credits

Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Calculator and 300+ more calculators!

< 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))

Propeller Efficiency for given Range of Propeller-Driven Airplane Formula

LaTeX Go

Propeller Efficiency = Range of Propeller Aircraft*Specific Fuel Consumption*Drag Coefficient/(Lift Coefficient*ln(Gross Weight/Weight without Fuel))
η = R_prop*c*C_D/(C_L*ln(W₀/W₁))

What is meant by the maximal total range of aircraft?

The maximal total range is the maximum distance an aircraft can fly between takeoff and landing, as limited by fuel capacity in powered aircraft, or cross-country speed and environmental conditions in unpowered aircraft.

How to Calculate Propeller Efficiency for given Range of Propeller-Driven Airplane?

Propeller Efficiency for given Range of Propeller-Driven Airplane calculator uses Propeller Efficiency = Range of Propeller Aircraft*Specific Fuel Consumption*Drag Coefficient/(Lift Coefficient*ln(Gross Weight/Weight without Fuel)) to calculate the Propeller Efficiency, Propeller Efficiency for given Range of Propeller-Driven Airplane is a measure of the effectiveness of a propeller in converting engine power into thrust, taking into account the specific fuel consumption, drag coefficient, lift coefficient, and weight of the aircraft, thereby enabling the calculation of the optimal propeller design for a given range of operation. Propeller Efficiency is denoted by η symbol.

How to calculate Propeller Efficiency for given Range of Propeller-Driven Airplane using this online calculator? To use this online calculator for Propeller Efficiency for given Range of Propeller-Driven Airplane, enter Range of Propeller Aircraft (R_prop), Specific Fuel Consumption (c), Drag Coefficient (C_D), Lift Coefficient (C_L), Gross Weight (W₀) & Weight without Fuel (W₁) and hit the calculate button. Here is how the Propeller Efficiency for given Range of Propeller-Driven Airplane calculation can be explained with given input values -> 0.929998 = 7126.017*0.000166666666666667*2/(5*ln(5000/3000)).

FAQ

What is Propeller Efficiency for given Range of Propeller-Driven Airplane?

Propeller Efficiency for given Range of Propeller-Driven Airplane is a measure of the effectiveness of a propeller in converting engine power into thrust, taking into account the specific fuel consumption, drag coefficient, lift coefficient, and weight of the aircraft, thereby enabling the calculation of the optimal propeller design for a given range of operation and is represented as η = R_prop*c*C_D/(C_L*ln(W₀/W₁)) or Propeller Efficiency = Range of Propeller Aircraft*Specific Fuel Consumption*Drag Coefficient/(Lift Coefficient*ln(Gross Weight/Weight without Fuel)). Range of Propeller Aircraft is defined as the total distance (measured with respect to ground) traversed by the aircraft on a tank of fuel, Specific Fuel Consumption is a characteristic of the engine and defined as the weight of fuel consumed per unit power per unit time, 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 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, 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 Propeller Efficiency for given Range of Propeller-Driven Airplane?

Propeller Efficiency for given Range of Propeller-Driven Airplane is a measure of the effectiveness of a propeller in converting engine power into thrust, taking into account the specific fuel consumption, drag coefficient, lift coefficient, and weight of the aircraft, thereby enabling the calculation of the optimal propeller design for a given range of operation is calculated using Propeller Efficiency = Range of Propeller Aircraft*Specific Fuel Consumption*Drag Coefficient/(Lift Coefficient*ln(Gross Weight/Weight without Fuel)). To calculate Propeller Efficiency for given Range of Propeller-Driven Airplane, you need Range of Propeller Aircraft (R_prop), Specific Fuel Consumption (c), Drag Coefficient (C_D), Lift Coefficient (C_L), Gross Weight (W₀) & Weight without Fuel (W₁). With our tool, you need to enter the respective value for Range of Propeller Aircraft, Specific Fuel Consumption, Drag Coefficient, Lift 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 Propeller Efficiency?

In this formula, Propeller Efficiency uses Range of Propeller Aircraft, Specific Fuel Consumption, Drag Coefficient, Lift Coefficient, Gross Weight & Weight without Fuel. We can use 3 other way(s) to calculate the same, which is/are as follows -

Propeller Efficiency = Range of Propeller Aircraft*Specific Fuel Consumption/(Lift-to-Drag Ratio*(ln(Gross Weight/Weight without Fuel)))
Propeller Efficiency = Endurance of Aircraft/((1/Specific Fuel Consumption)*((Lift Coefficient^1.5)/Drag Coefficient)*(sqrt(2*Freestream Density*Reference Area))*(((1/Weight without Fuel)^(1/2))-((1/Gross Weight)^(1/2))))
Propeller Efficiency = Available Power/Brake Power

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