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Helicopter Flying Range Formula

GoOptimum Range for Jet Aircraft in Cruising Phase Formula

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

R = 270 \cdot \frac{G T}{W a} \cdot \frac{C L}{C D} \cdot η r \cdot \frac{ξ}{c}

R - Range of Aircraft?G_T - Weight of Fuel?W_a - Aircraft Weight?C_L - Lift Coefficient?C_D - Drag Coefficient?η_r - Rotor Efficiency?ξ - Coefficient of Power loss?c - Power Specific Fuel Consumption?

Helicopter Flying Range Example

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With units

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Here is how the Helicopter Flying Range equation looks like with Values.

Here is how the Helicopter Flying Range equation looks like with Units.

Here is how the Helicopter Flying Range equation looks like.

1002.5517 = 270 \cdot \frac{37.5}{1001} \cdot \frac{1.1}{0.51} \cdot 3.33 \cdot \frac{2.3}{0.6}

1002.5517km = 270 \cdot \frac{37.5kg}{1001N} \cdot \frac{1.1}{0.51} \cdot 3.33 \cdot \frac{2.3}{0.6kg/h/W}

1002.5517 = 270 \cdot \frac{37.5}{1001} \cdot \frac{1.1}{0.51} \cdot 3.33 \cdot \frac{2.3}{0.6}

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Helicopter Flying Range Solution

Follow our step by step solution on how to calculate Helicopter Flying Range?

FIRST Step Consider the formula

R = 270 \cdot \frac{G T}{W a} \cdot \frac{C L}{C D} \cdot η r \cdot \frac{ξ}{c}

Next Step Substitute values of Variables

∴

R = 270 \cdot \frac{37.5kg}{1001N} \cdot \frac{1.1}{0.51} \cdot 3.33 \cdot \frac{2.3}{0.6kg/h/W}

Next Step Convert Units

∴

R = 270 \cdot \frac{37.5kg}{1001N} \cdot \frac{1.1}{0.51} \cdot 3.33 \cdot \frac{2.3}{0.0002kg/s/W}

Next Step Prepare to Evaluate

∴

R = 270 \cdot \frac{37.5}{1001} \cdot \frac{1.1}{0.51} \cdot 3.33 \cdot \frac{2.3}{0.0002}

Next Step Evaluate

∴

R = 1002551.71299289m

Next Step Convert to Output's Unit

∴

R = 1002.55171299289km

LAST Step Rounding Answer

∴

R = 1002.5517km

Helicopter Flying Range Formula Elements

Variables

Range of Aircraft

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

Symbol: R

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Range of Aircraft

Weight of Fuel

Weight of Fuel is the weight of the fuel present in the aircraft before takeoff.

Symbol: G_T

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Weight of Fuel

Aircraft Weight

Aircraft weight is the total aircraft weight at any moment during the flight or ground operation.

Symbol: W_a

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Aircraft Weight

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

Rotor Efficiency

Rotor Efficiency is defined as the ratio of the output to that of input rotor efficiency of the three-phase induction motor.

Symbol: η_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Rotor Efficiency

Coefficient of Power loss

Coefficient of Power loss takes place in the transmission of power between the rotors and shafts due to cooling.

Symbol: ξ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Power loss

Power Specific Fuel Consumption

Power 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 Power Specific Fuel Consumption

Other Formulas to find Range of Aircraft

Go Optimum Range for Jet Aircraft in Cruising Phase

R = \frac{V L/D(max) \cdot LDmax ratio}{c} \cdot \ln (\frac{W i}{W f})

Other formulas in Preliminary Design category

Go Preliminary Take Off Weight Built-up for Manned Aircraft

DTW = PYL + OEW + FW + W c

Go Fuel Fraction

F f = \frac{FW}{DTW}

How to Evaluate Helicopter Flying Range?

Helicopter Flying Range evaluator uses Range of Aircraft = 270*Weight of Fuel/Aircraft Weight*Lift Coefficient/Drag Coefficient*Rotor Efficiency*(Coefficient of Power loss)/Power Specific Fuel Consumption to evaluate the Range of Aircraft, The Helicopter Flying Range formula refers to the maximum distance it can travel in a single flight while carrying a specified payload (including fuel, crew, passengers, and cargo), several factors influence the flying range of a helicopter, including fuel capacity, fuel consumption rate, cruising speed, altitude, weather conditions, and payload weight. Range of Aircraft is denoted by R symbol.

How to evaluate Helicopter Flying Range using this online evaluator? To use this online evaluator for Helicopter Flying Range, enter Weight of Fuel (G_T), Aircraft Weight (W_a), Lift Coefficient (C_L), Drag Coefficient (C_D), Rotor Efficiency (η_r), Coefficient of Power loss (ξ) & Power Specific Fuel Consumption (c) and hit the calculate button.

FAQs on Helicopter Flying Range

What is the formula to find Helicopter Flying Range?

The formula of Helicopter Flying Range is expressed as Range of Aircraft = 270*Weight of Fuel/Aircraft Weight*Lift Coefficient/Drag Coefficient*Rotor Efficiency*(Coefficient of Power loss)/Power Specific Fuel Consumption. Here is an example- 1.015919 = 270*37.5/1001*1.1/0.51*3.33*(2.3)/0.000166666666666667.

How to calculate Helicopter Flying Range?

With Weight of Fuel (G_T), Aircraft Weight (W_a), Lift Coefficient (C_L), Drag Coefficient (C_D), Rotor Efficiency (η_r), Coefficient of Power loss (ξ) & Power Specific Fuel Consumption (c) we can find Helicopter Flying Range using the formula - Range of Aircraft = 270*Weight of Fuel/Aircraft Weight*Lift Coefficient/Drag Coefficient*Rotor Efficiency*(Coefficient of Power loss)/Power Specific Fuel Consumption.

What are the other ways to Calculate Range of Aircraft?

Here are the different ways to Calculate Range of Aircraft-

Range of Aircraft=(Velocity at Maximum Lift to Drag Ratio*Maximum Lift-to-Drag Ratio of Aircraft)/Power Specific Fuel Consumption*ln(Weight of Aircraft at Beginning of Cruise Phase/Weight of Aircraft at End of Cruise Phase)

Can the Helicopter Flying Range be negative?

No, the Helicopter Flying Range, measured in Length cannot be negative.

Which unit is used to measure Helicopter Flying Range?

Helicopter Flying Range is usually measured using the Kilometer[km] for Length. Meter[km], Millimeter[km], Decimeter[km] are the few other units in which Helicopter Flying Range can be measured.

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Helicopter Flying Range Formula

​GoOptimum Range for Jet Aircraft in Cruising Phase Formula

Helicopter Flying Range Example

Helicopter Flying Range Solution

Helicopter Flying Range Formula Elements

Other Formulas to find Range of Aircraft

Other formulas in Preliminary Design category

How to Evaluate Helicopter Flying Range?

FAQs on Helicopter Flying Range

Variable Name

GoOptimum Range for Jet Aircraft in Cruising Phase Formula