Empty Weight Fraction given Takeoff Weight and Fuel Fraction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Empty Weight Fraction = 1-Fuel Fraction-(Payload Carried+Crew Weight)/Desired Takeoff Weight
Ef = 1-Ff-(PYL+Wc)/DTW
This formula uses 5 Variables
Variables Used
Empty Weight Fraction - Empty Weight Fraction is the ratio of the operating empty weight to the desired takeoff weight.
Fuel Fraction - Fuel Fraction is the ratio between weight of fuel caried by a plane to the aircraft total take off 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
Fuel Fraction: 0.4 --> 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
Ef = 1-Ff-(PYL+Wc)/DTW --> 1-0.4-(12400+12600)/250000
Evaluating ... ...
Ef = 0.5
STEP 3: Convert Result to Output's Unit
0.5 --> No Conversion Required
FINAL ANSWER
0.5 <-- Empty Weight Fraction
(Calculation completed in 00.020 seconds)

Credits

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Created by Vedant Chitte
All India Shri Shivaji Memorials Society's ,College of Engineering (AISSMS COE PUNE), Pune
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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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

Empty Weight Fraction given Takeoff Weight and Fuel Fraction Formula

​LaTeX ​Go
Empty Weight Fraction = 1-Fuel Fraction-(Payload Carried+Crew Weight)/Desired Takeoff Weight
Ef = 1-Ff-(PYL+Wc)/DTW

What is empty weight of an aircraft?

The empty weight of an aircraft is the weight of the aircraft without including passengers, baggage, or fuel. Standard empty weight usually includes unusable fuel, full operating fluids, and full engine oil.

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

Empty Weight Fraction given Takeoff Weight and Fuel Fraction calculator uses Empty Weight Fraction = 1-Fuel Fraction-(Payload Carried+Crew Weight)/Desired Takeoff Weight to calculate the Empty Weight Fraction, Empty Weight Fraction given Takeoff Weight and Fuel Fraction represents the proportion of the total aircraft weight that consists of the empty weight relative to the maximum takeoff weight (MTOW), this calculation provides an estimate of the empty weight fraction based on the specified fuel and payload fractions. Empty Weight Fraction is denoted by Ef symbol.

How to calculate Empty Weight Fraction given Takeoff Weight and Fuel Fraction using this online calculator? To use this online calculator for Empty Weight Fraction given Takeoff Weight and Fuel Fraction, enter Fuel Fraction (Ff), Payload Carried (PYL), Crew Weight (Wc) & Desired Takeoff Weight (DTW) and hit the calculate button. Here is how the Empty Weight Fraction given Takeoff Weight and Fuel Fraction calculation can be explained with given input values -> 0.54968 = 1-0.4-(12400+12600)/250000.

FAQ

What is Empty Weight Fraction given Takeoff Weight and Fuel Fraction?
Empty Weight Fraction given Takeoff Weight and Fuel Fraction represents the proportion of the total aircraft weight that consists of the empty weight relative to the maximum takeoff weight (MTOW), this calculation provides an estimate of the empty weight fraction based on the specified fuel and payload fractions and is represented as Ef = 1-Ff-(PYL+Wc)/DTW or Empty Weight Fraction = 1-Fuel Fraction-(Payload Carried+Crew Weight)/Desired Takeoff Weight. Fuel Fraction is the ratio between weight of fuel caried by a plane to the aircraft total take off 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 Empty Weight Fraction given Takeoff Weight and Fuel Fraction?
Empty Weight Fraction given Takeoff Weight and Fuel Fraction represents the proportion of the total aircraft weight that consists of the empty weight relative to the maximum takeoff weight (MTOW), this calculation provides an estimate of the empty weight fraction based on the specified fuel and payload fractions is calculated using Empty Weight Fraction = 1-Fuel Fraction-(Payload Carried+Crew Weight)/Desired Takeoff Weight. To calculate Empty Weight Fraction given Takeoff Weight and Fuel Fraction, you need Fuel Fraction (Ff), Payload Carried (PYL), Crew Weight (Wc) & Desired Takeoff Weight (DTW). With our tool, you need to enter the respective value for Fuel 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 Empty Weight Fraction?
In this formula, Empty Weight Fraction uses Fuel Fraction, Payload Carried, Crew Weight & Desired Takeoff Weight. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Empty Weight Fraction = Operating Empty Weight/Desired Takeoff Weight
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