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Takeoff Weight given Fuel Fraction Calculator

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Preliminary Design Conceptual Design

✖Fuel Weight to be Carried is defined as the total mass of the fuel to be carried (usually includes reserve fuel).ⓘ Fuel Weight to be Carried [FW]			+10% -10%
✖Fuel Fraction is the ratio between weight of fuel caried by a plane to the aircraft total take off weight.ⓘ Fuel Fraction [F_f]			+10% -10%

✖Desired Takeoff Weight (or mass) is the weight of the aircraft.ⓘ Takeoff Weight given Fuel Fraction [DTW]

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Takeoff Weight given Fuel Fraction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Desired Takeoff Weight = Fuel Weight to be Carried/Fuel Fraction
DTW = FW/F_f
This formula uses 3 Variables

Variables Used

Desired Takeoff Weight - (Measured in Kilogram) - Desired Takeoff Weight (or mass) is the weight of the aircraft.
Fuel Weight to be Carried - (Measured in Kilogram) - Fuel Weight to be Carried is defined as the total mass of the fuel to be carried (usually includes reserve fuel).
Fuel Fraction - Fuel Fraction is the ratio between weight of fuel caried by a plane to the aircraft total take off weight.

STEP 1: Convert Input(s) to Base Unit

Fuel Weight to be Carried: 100000 Kilogram --> 100000 Kilogram No Conversion Required
Fuel Fraction: 0.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

DTW = FW/F_f --> 100000/0.4

Evaluating ... ...

DTW = 250000

STEP 3: Convert Result to Output's Unit

250000 Kilogram --> No Conversion Required

FINAL ANSWER

250000 Kilogram <-- Desired Takeoff Weight

(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

Takeoff Weight given Fuel Fraction Formula

LaTeX Go

Desired Takeoff Weight = Fuel Weight to be Carried/Fuel Fraction
DTW = FW/F_f

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 Takeoff Weight given Fuel Fraction?

Takeoff Weight given Fuel Fraction calculator uses Desired Takeoff Weight = Fuel Weight to be Carried/Fuel Fraction to calculate the Desired Takeoff Weight, The Takeoff Weight given Fuel Fraction refers to the total weight of the aircraft, including all components and payloads, at the moment it lifts off the ground for flight, to calculate the takeoff weight of an aircraft given the fuel fraction, you'll need to consider the relationship between the fuel fraction, the empty weight fraction, and the total takeoff weight. Desired Takeoff Weight is denoted by DTW symbol.

How to calculate Takeoff Weight given Fuel Fraction using this online calculator? To use this online calculator for Takeoff Weight given Fuel Fraction, enter Fuel Weight to be Carried (FW) & Fuel Fraction (F_f) and hit the calculate button. Here is how the Takeoff Weight given Fuel Fraction calculation can be explained with given input values -> 400000 = 100000/0.4.

FAQ

What is Takeoff Weight given Fuel Fraction?

The Takeoff Weight given Fuel Fraction refers to the total weight of the aircraft, including all components and payloads, at the moment it lifts off the ground for flight, to calculate the takeoff weight of an aircraft given the fuel fraction, you'll need to consider the relationship between the fuel fraction, the empty weight fraction, and the total takeoff weight and is represented as DTW = FW/F_f or Desired Takeoff Weight = Fuel Weight to be Carried/Fuel Fraction. Fuel Weight to be Carried is defined as the total mass of the fuel to be carried (usually includes reserve fuel) & Fuel Fraction is the ratio between weight of fuel caried by a plane to the aircraft total take off weight.

How to calculate Takeoff Weight given Fuel Fraction?

The Takeoff Weight given Fuel Fraction refers to the total weight of the aircraft, including all components and payloads, at the moment it lifts off the ground for flight, to calculate the takeoff weight of an aircraft given the fuel fraction, you'll need to consider the relationship between the fuel fraction, the empty weight fraction, and the total takeoff weight is calculated using Desired Takeoff Weight = Fuel Weight to be Carried/Fuel Fraction. To calculate Takeoff Weight given Fuel Fraction, you need Fuel Weight to be Carried (FW) & Fuel Fraction (F_f). With our tool, you need to enter the respective value for Fuel Weight to be Carried & Fuel Fraction 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 Desired Takeoff Weight?

In this formula, Desired Takeoff Weight uses Fuel Weight to be Carried & Fuel Fraction. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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