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Fuel Fraction Formula

GoFuel Fraction given Takeoff Weight and Empty Weight Fraction Formula

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Fuel Fraction is the ratio between weight of fuel caried by a plane to the aircraft total take off weight. Check FAQs

F f = \frac{FW}{DTW}

F_f - Fuel Fraction?FW - Fuel Weight to be Carried?DTW - Desired Takeoff Weight?

Fuel Fraction Example

With values

With units

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Here is how the Fuel Fraction equation looks like with Values.

Here is how the Fuel Fraction equation looks like with Units.

Here is how the Fuel Fraction equation looks like.

0.4 = \frac{100000}{250000}

0.4 = \frac{100000kg}{250000kg}

0.4 = \frac{100000}{250000}

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Fuel Fraction Solution

Follow our step by step solution on how to calculate Fuel Fraction?

FIRST Step Consider the formula

F f = \frac{FW}{DTW}

Next Step Substitute values of Variables

∴

F f = \frac{100000kg}{250000kg}

Next Step Prepare to Evaluate

∴

F f = \frac{100000}{250000}

LAST Step Evaluate

∴

F f = 0.4

Fuel Fraction Formula Elements

Variables

Fuel Fraction

Fuel Fraction is the ratio between weight of fuel caried by a plane to the aircraft total take off weight.

Symbol: F_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Fuel Fraction

Fuel Weight to be Carried

Fuel Weight to be Carried is defined as the total mass of the fuel to be carried (usually includes reserve fuel).

Symbol: FW

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Fuel Weight to be Carried

Desired Takeoff Weight

Desired Takeoff Weight (or mass) is the weight of the aircraft.

Symbol: DTW

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Desired Takeoff Weight

Other Formulas to find Fuel Fraction

Go Fuel Fraction given Takeoff Weight and Empty Weight Fraction

F f = 1 - E f - \frac{PYL + W c}{DTW}

Other formulas in Preliminary Design category

Go Preliminary Take Off Weight Built-up for Manned Aircraft

DTW = PYL + OEW + FW + W c

Go Preliminary Take off Weight Built-Up for Manned Aircraft given Fuel and Empty Weight Fraction

DTW = \frac{PYL + W c}{1 - F f - E f}

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})

Go Optimum Range for Prop-Driven Aircraft in Cruising Phase

R opt = \frac{η \cdot LDmax ratio}{c} \cdot \ln (\frac{W i}{W f})

How to Evaluate Fuel Fraction?

Fuel Fraction evaluator uses Fuel Fraction = Fuel Weight to be Carried/Desired Takeoff Weight to evaluate the Fuel Fraction, The Fuel Fraction of an aircraft is a parameter used in aircraft design and performance calculations to represent the proportion of the total weight of the aircraft at takeoff that is attributed to fuel. Fuel Fraction is denoted by F_f symbol.

How to evaluate Fuel Fraction using this online evaluator? To use this online evaluator for Fuel Fraction, enter Fuel Weight to be Carried (FW) & Desired Takeoff Weight (DTW) and hit the calculate button.

FAQs on Fuel Fraction

What is the formula to find Fuel Fraction?

The formula of Fuel Fraction is expressed as Fuel Fraction = Fuel Weight to be Carried/Desired Takeoff Weight. Here is an example- 0.4 = 100000/250000.

How to calculate Fuel Fraction?

With Fuel Weight to be Carried (FW) & Desired Takeoff Weight (DTW) we can find Fuel Fraction using the formula - Fuel Fraction = Fuel Weight to be Carried/Desired Takeoff Weight.

What are the other ways to Calculate Fuel Fraction?

Here are the different ways to Calculate Fuel Fraction-

Fuel Fraction=1-Empty Weight Fraction-(Payload Carried+Crew Weight)/Desired Takeoff Weight

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