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Payload Carried (passengers and cargo) is the object or the entity which is being carried by an aircraft or a launch vehicle. Check FAQs
PYL=DTW⋅(1-Ef-Ff)-Wc
PYL - Payload Carried?DTW - Desired Takeoff Weight?Ef - Empty Weight Fraction?Ff - Fuel Fraction?Wc - Crew Weight?

Payload Weight given Fuel and Empty Weight Fractions Example

With values
With units
Only example

Here is how the Payload Weight given Fuel and Empty Weight Fractions equation looks like with Values.

Here is how the Payload Weight given Fuel and Empty Weight Fractions equation looks like with Units.

Here is how the Payload Weight given Fuel and Empty Weight Fractions equation looks like.

12400Edit=250000Edit⋅(1-0.5Edit-0.4Edit)-12600Edit
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HomeIcon Home » Category Physics » Category Aerospace » Category Aircraft Mechanics » fx Payload Weight given Fuel and Empty Weight Fractions

Payload Weight given Fuel and Empty Weight Fractions Solution

Follow our step by step solution on how to calculate Payload Weight given Fuel and Empty Weight Fractions?

FIRST Step Consider the formula
PYL=DTW⋅(1-Ef-Ff)-Wc
Next Step Substitute values of Variables
∴ PYL=250000kg⋅(1-0.5-0.4)-12600kg
Next Step Prepare to Evaluate
∴ PYL=250000⋅(1-0.5-0.4)-12600
LAST Step Evaluate
∴PYL=12400kg

Payload Weight given Fuel and Empty Weight Fractions Formula Elements

Variables
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
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
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
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
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

Other Formulas to find Payload Carried

​Go Payload Weight given Takeoff Weight
PYL=DTW-OEW-Wc-FW

Other formulas in Preliminary Design category

​Go Preliminary Take Off Weight Built-up for Manned Aircraft
DTW=PYL+OEW+FW+Wc
​Go Fuel Fraction
Ff=FWDTW
​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)

How to Evaluate Payload Weight given Fuel and Empty Weight Fractions?

Payload Weight given Fuel and Empty Weight Fractions evaluator uses Payload Carried = Desired Takeoff Weight*(1-Empty Weight Fraction-Fuel Fraction)-Crew Weight to evaluate the Payload Carried, The Payload Weight given Fuel and Empty Weight Fractions formula refers to the total weight of all the items carried by an aircraft, excluding the essential components of the aircraft itself such as the airframe, engines, fuel, and crew, to calculate the payload weight given the fuel and empty weight fractions, you need to subtract the combined weight of the fuel and the empty weight from the total takeoff weight. Payload Carried is denoted by PYL symbol.

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

FAQs on Payload Weight given Fuel and Empty Weight Fractions

What is the formula to find Payload Weight given Fuel and Empty Weight Fractions?
The formula of Payload Weight given Fuel and Empty Weight Fractions is expressed as Payload Carried = Desired Takeoff Weight*(1-Empty Weight Fraction-Fuel Fraction)-Crew Weight. Here is an example- 24820 = 250000*(1-0.5-0.4)-12600.
How to calculate Payload Weight given Fuel and Empty Weight Fractions?
With Desired Takeoff Weight (DTW), Empty Weight Fraction (Ef), Fuel Fraction (Ff) & Crew Weight (Wc) we can find Payload Weight given Fuel and Empty Weight Fractions using the formula - Payload Carried = Desired Takeoff Weight*(1-Empty Weight Fraction-Fuel Fraction)-Crew Weight.
What are the other ways to Calculate Payload Carried?
Here are the different ways to Calculate Payload Carried-
  • Payload Carried=Desired Takeoff Weight-Operating Empty Weight-Crew Weight-Fuel Weight to be CarriedOpenImg
Can the Payload Weight given Fuel and Empty Weight Fractions be negative?
No, the Payload Weight given Fuel and Empty Weight Fractions, measured in Weight cannot be negative.
Which unit is used to measure Payload Weight given Fuel and Empty Weight Fractions?
Payload Weight given Fuel and Empty Weight Fractions is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Payload Weight given Fuel and Empty Weight Fractions can be measured.
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