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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
Ff=1-Ef-PYL+WcDTW
Ff - Fuel Fraction?Ef - Empty Weight Fraction?PYL - Payload Carried?Wc - Crew Weight?DTW - Desired Takeoff Weight?

Fuel Fraction given Takeoff Weight and Empty Weight Fraction Example

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With units
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Here is how the Fuel Fraction given Takeoff Weight and Empty Weight Fraction equation looks like with Values.

Here is how the Fuel Fraction given Takeoff Weight and Empty Weight Fraction equation looks like with Units.

Here is how the Fuel Fraction given Takeoff Weight and Empty Weight Fraction equation looks like.

0.4Edit=1-0.5Edit-12400Edit+12600Edit250000Edit
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HomeIcon Home » Category Physics » Category Aerospace » Category Aircraft Mechanics » fx Fuel Fraction given Takeoff Weight and Empty Weight Fraction

Fuel Fraction given Takeoff Weight and Empty Weight Fraction Solution

Follow our step by step solution on how to calculate Fuel Fraction given Takeoff Weight and Empty Weight Fraction?

FIRST Step Consider the formula
Ff=1-Ef-PYL+WcDTW
Next Step Substitute values of Variables
∴ Ff=1-0.5-12400kg+12600kg250000kg
Next Step Prepare to Evaluate
∴ Ff=1-0.5-12400+12600250000
LAST Step Evaluate
∴Ff=0.4

Fuel Fraction given Takeoff Weight and Empty Weight 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: Ff
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Fuel FractionOpen Variable
Empty Weight Fraction
Empty Weight Fraction is the ratio of the operating empty weight to the desired takeoff weight.
Symbol: Ef
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Empty Weight FractionOpen Variable
Payload Carried
Payload Carried (passengers and cargo) is the object or the entity which is being carried by an aircraft or a launch vehicle.
Symbol: PYL
Measurement: WeightUnit: kg
Note: Value should be greater than 0.
Formulas to find Payload CarriedOpen Variable
Crew Weight
Crew Weight is the weight of staff which are required for the functioning of the plane. It contains the weight of Pilots, flight engineer, navigation pilot and airplane staff to serve the passengers.
Symbol: Wc
Measurement: WeightUnit: kg
Note: Value should be greater than 0.
Formulas to find Crew WeightOpen Variable
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 WeightOpen Variable

Other Formulas to find Fuel Fraction

​Go Fuel Fraction
Ff=FWDTW

Other formulas in Preliminary Design category

​Go Preliminary Take Off Weight Built-up for Manned Aircraft
DTW=PYL+OEW+FW+Wc
​Go Preliminary Take off Weight Built-Up for Manned Aircraft given Fuel and Empty Weight Fraction
DTW=PYL+Wc1-Ff-Ef
​Go Optimum Range for Jet Aircraft in Cruising Phase
R=VL/D(max)⋅LDmaxratioc⋅ln(WiWf)
​Go Optimum Range for Prop-Driven Aircraft in Cruising Phase
Ropt=η⋅LDmaxratioc⋅ln(WiWf)

How to Evaluate Fuel Fraction given Takeoff Weight and Empty Weight Fraction?

Fuel Fraction given Takeoff Weight and Empty Weight Fraction evaluator uses Fuel Fraction = 1-Empty Weight Fraction-(Payload Carried+Crew Weight)/Desired Takeoff Weight to evaluate the Fuel Fraction, The Fuel Fraction given Takeoff Weight and Empty Weight Fraction formula calculates the fuel fraction by subtracting the weight attributed to the empty aircraft from the total takeoff weight, and then dividing by the total takeoff weight, this calculation provides an estimate of the fuel fraction based on the specified takeoff weight and empty weight fraction, which is useful for understanding the distribution of weight within the aircraft and for performance planning, load planning, and safety assessments. Fuel Fraction is denoted by Ff symbol.

How to evaluate Fuel Fraction given Takeoff Weight and Empty Weight Fraction using this online evaluator? To use this online evaluator for Fuel Fraction given Takeoff Weight and Empty Weight Fraction, enter Empty Weight Fraction (Ef), Payload Carried (PYL), Crew Weight (Wc) & Desired Takeoff Weight (DTW) and hit the calculate button.

FAQs on Fuel Fraction given Takeoff Weight and Empty Weight Fraction

What is the formula to find Fuel Fraction given Takeoff Weight and Empty Weight Fraction?
The formula of Fuel Fraction given Takeoff Weight and Empty Weight Fraction is expressed as Fuel Fraction = 1-Empty Weight Fraction-(Payload Carried+Crew Weight)/Desired Takeoff Weight. Here is an example- 0.44968 = 1-0.5-(12400+12600)/250000.
How to calculate Fuel Fraction given Takeoff Weight and Empty Weight Fraction?
With Empty Weight Fraction (Ef), Payload Carried (PYL), Crew Weight (Wc) & Desired Takeoff Weight (DTW) we can find Fuel Fraction given Takeoff Weight and Empty Weight Fraction using the formula - Fuel Fraction = 1-Empty Weight Fraction-(Payload Carried+Crew Weight)/Desired Takeoff Weight.
What are the other ways to Calculate Fuel Fraction?
Here are the different ways to Calculate Fuel Fraction-
  • Fuel Fraction=Fuel Weight to be Carried/Desired Takeoff WeightOpenImg
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