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Takeoff Weight given Fuel Fraction Formula

GoPreliminary Take Off Weight Built-up for Manned Aircraft Formula

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

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

DTW = \frac{FW}{F f}

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

Takeoff Weight given Fuel Fraction Example

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With units

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

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

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

250000 = \frac{100000}{0.4}

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

250000 = \frac{100000}{0.4}

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Takeoff Weight given Fuel Fraction Solution

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

FIRST Step Consider the formula

DTW = \frac{FW}{F f}

Next Step Substitute values of Variables

∴

DTW = \frac{100000kg}{0.4}

Next Step Prepare to Evaluate

∴

DTW = \frac{100000}{0.4}

LAST Step Evaluate

∴

DTW = 250000kg

Takeoff Weight given Fuel Fraction Formula Elements

Variables

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

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

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

Other Formulas to find Desired Takeoff Weight

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 Takeoff Weight given Empty Weight Fraction

DTW = \frac{OEW}{E f}

Other formulas in Preliminary Design category

Go Fuel Fraction

F f = \frac{FW}{DTW}

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})

Go Payload Weight given Takeoff Weight

PYL = DTW - OEW - W c - FW

How to Evaluate Takeoff Weight given Fuel Fraction?

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

FAQs on Takeoff Weight given Fuel Fraction

What is the formula to find Takeoff Weight given Fuel Fraction?

The formula of Takeoff Weight given Fuel Fraction is expressed as Desired Takeoff Weight = Fuel Weight to be Carried/Fuel Fraction. Here is an example- 400000 = 100000/0.4.

How to calculate Takeoff Weight given Fuel Fraction?

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

What are the other ways to Calculate Desired Takeoff Weight?

Here are the different ways to Calculate Desired Takeoff Weight-

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

Can the Takeoff Weight given Fuel Fraction be negative?

No, the Takeoff Weight given Fuel Fraction, measured in Weight cannot be negative.

Which unit is used to measure Takeoff Weight given Fuel Fraction?

Takeoff Weight given Fuel Fraction is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Takeoff Weight given Fuel Fraction can be measured.

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