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Fuel Fraction given Takeoff Weight and Empty Weight Fraction Calculator

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Preliminary Design Conceptual Design

✖Empty Weight Fraction is the ratio of the operating empty weight to the desired takeoff weight.ⓘ Empty Weight Fraction [E_f]			+10% -10%
✖Payload Carried (passengers and cargo) is the object or the entity which is being carried by an aircraft or a launch vehicle.ⓘ Payload Carried [PYL]			+10% -10%
✖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.ⓘ Crew Weight [W_c]			+10% -10%
✖Desired Takeoff Weight (or mass) is the weight of the aircraft.ⓘ Desired Takeoff Weight [DTW]			+10% -10%

✖Fuel Fraction is the ratio between weight of fuel caried by a plane to the aircraft total take off weight.ⓘ Fuel Fraction given Takeoff Weight and Empty Weight Fraction [F_f]

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Fuel Fraction given Takeoff Weight and Empty Weight Fraction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fuel Fraction = 1-Empty Weight Fraction-(Payload Carried+Crew Weight)/Desired Takeoff Weight
F_f = 1-E_f-(PYL+W_c)/DTW
This formula uses 5 Variables

Variables Used

Fuel Fraction - Fuel Fraction is the ratio between weight of fuel caried by a plane to the aircraft total take off weight.
Empty Weight Fraction - Empty Weight Fraction is the ratio of the operating empty weight to the desired takeoff weight.
Payload Carried - (Measured in Kilogram) - Payload Carried (passengers and cargo) is the object or the entity which is being carried by an aircraft or a launch vehicle.
Crew Weight - (Measured in Kilogram) - 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.
Desired Takeoff Weight - (Measured in Kilogram) - Desired Takeoff Weight (or mass) is the weight of the aircraft.

STEP 1: Convert Input(s) to Base Unit

Empty Weight Fraction: 0.5 --> No Conversion Required
Payload Carried: 12400 Kilogram --> 12400 Kilogram No Conversion Required
Crew Weight: 12600 Kilogram --> 12600 Kilogram No Conversion Required
Desired Takeoff Weight: 250000 Kilogram --> 250000 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_f = 1-E_f-(PYL+W_c)/DTW --> 1-0.5-(12400+12600)/250000

Evaluating ... ...

F_f = 0.4

STEP 3: Convert Result to Output's Unit

0.4 --> No Conversion Required

FINAL ANSWER

0.4 <-- Fuel Fraction

(Calculation completed in 00.004 seconds)

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< Preliminary Design Calculators

Optimum Range for Jet Aircraft in Cruising Phase

LaTeX Go 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)

Preliminary Take Off Weight Built-up for Manned Aircraft

LaTeX Go Desired Takeoff Weight = Payload Carried+Operating Empty Weight+Fuel Weight to be Carried+Crew Weight

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

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

Fuel Fraction

LaTeX Go Fuel Fraction = Fuel Weight to be Carried/Desired Takeoff Weight

Fuel Fraction given Takeoff Weight and Empty Weight Fraction Formula

LaTeX Go

Fuel Fraction = 1-Empty Weight Fraction-(Payload Carried+Crew Weight)/Desired Takeoff Weight
F_f = 1-E_f-(PYL+W_c)/DTW

What is Importance of Fuel Fraction?

In aerospace engineering, an aircraft's fuel fraction, fuel weight fraction, or a spacecraft's propellant fraction, is the weight of the fuel or propellant divided by the gross take-off weight of the craft (including propellant). The fractional result of this mathematical division. For aircraft with external drop tanks, the term internal fuel fraction is used to exclude the weight of external tanks and fuel. Fuel fraction is a key parameter in determining an aircraft's range, the distance it can fly without refueling. Breguet’s aircraft range equation describes the relationship of range with airspeed, lift-to-drag ratio, specific fuel consumption, and the part of the total fuel fraction available for cruise, also known as the cruise fuel fraction, or cruise fuel weight fraction.

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

Fuel Fraction given Takeoff Weight and Empty Weight Fraction calculator uses Fuel Fraction = 1-Empty Weight Fraction-(Payload Carried+Crew Weight)/Desired Takeoff Weight to calculate 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 F_f symbol.

How to calculate Fuel Fraction given Takeoff Weight and Empty Weight Fraction using this online calculator? To use this online calculator for Fuel Fraction given Takeoff Weight and Empty Weight Fraction, enter Empty Weight Fraction (E_f), Payload Carried (PYL), Crew Weight (W_c) & Desired Takeoff Weight (DTW) and hit the calculate button. Here is how the Fuel Fraction given Takeoff Weight and Empty Weight Fraction calculation can be explained with given input values -> 0.44968 = 1-0.5-(12400+12600)/250000.

FAQ

What is Fuel Fraction given Takeoff Weight and Empty Weight 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 and is represented as F_f = 1-E_f-(PYL+W_c)/DTW or Fuel Fraction = 1-Empty Weight Fraction-(Payload Carried+Crew Weight)/Desired Takeoff Weight. Empty Weight Fraction is the ratio of the operating empty weight to the desired takeoff weight, Payload Carried (passengers and cargo) is the object or the entity which is being carried by an aircraft or a launch vehicle, 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 & Desired Takeoff Weight (or mass) is the weight of the aircraft.

How to calculate Fuel Fraction given Takeoff Weight and Empty Weight 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 is calculated using Fuel Fraction = 1-Empty Weight Fraction-(Payload Carried+Crew Weight)/Desired Takeoff Weight. To calculate Fuel Fraction given Takeoff Weight and Empty Weight Fraction, you need Empty Weight Fraction (E_f), Payload Carried (PYL), Crew Weight (W_c) & Desired Takeoff Weight (DTW). With our tool, you need to enter the respective value for Empty Weight Fraction, Payload Carried, Crew Weight & Desired Takeoff Weight 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 Fuel Fraction?

In this formula, Fuel Fraction uses Empty Weight Fraction, Payload Carried, Crew Weight & Desired Takeoff Weight. We can use 1 other way(s) to calculate the same, which is/are as follows -

Fuel Fraction = Fuel Weight to be Carried/Desired Takeoff Weight

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