Battery Weight Fraction Calculator

✖Range of Aircraft is defined as the total distance (measured with respect to ground) traversed by the aircraft on a tank of fuel.ⓘ Range of Aircraft [R]			+10% -10%
✖Battery Specific Energy Capacity is a measure of how much energy a battery contains in comparison to its weight, typically expressed in Joule/kilogram or watt-hour/kilogram.ⓘ Battery Specific Energy Capacity [E_battery]			+10% -10%
✖The Efficiency of an electric motor is defined as the ratio of usable shaft power to electric input power.ⓘ Efficiency [η]			+10% -10%
✖Maximum Lift to Drag Ratio of Aircraft while in cruise, the ratio of lift to drag coefficient is maximum in value.ⓘ Maximum Lift to Drag Ratio of Aircraft [LDmax_ratio]			+10% -10%

✖Battery Weight Fraction is the ratio between battery weight to gross weight. It is a dimensionless number.ⓘ Battery Weight Fraction [WBF]

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Battery Weight Fraction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Battery Weight Fraction = (Range of Aircraft/(Battery Specific Energy Capacity*3600*Efficiency*(1/[g])*Maximum Lift to Drag Ratio of Aircraft))
WBF = (R/(E_battery*3600*η*(1/[g])*LDmax_ratio))
This formula uses 1 Constants, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Battery Weight Fraction - Battery Weight Fraction is the ratio between battery weight to gross weight. It is a dimensionless number.
Range of Aircraft - (Measured in Meter) - Range of Aircraft is defined as the total distance (measured with respect to ground) traversed by the aircraft on a tank of fuel.
Battery Specific Energy Capacity - (Measured in Joule per Kilogram) - Battery Specific Energy Capacity is a measure of how much energy a battery contains in comparison to its weight, typically expressed in Joule/kilogram or watt-hour/kilogram.
Efficiency - The Efficiency of an electric motor is defined as the ratio of usable shaft power to electric input power.
Maximum Lift to Drag Ratio of Aircraft - Maximum Lift to Drag Ratio of Aircraft while in cruise, the ratio of lift to drag coefficient is maximum in value.

STEP 1: Convert Input(s) to Base Unit

Range of Aircraft: 10 Kilometer --> 10000 Meter (Check conversion here)
Battery Specific Energy Capacity: 21 Joule per Kilogram --> 21 Joule per Kilogram No Conversion Required
Efficiency: 0.8 --> No Conversion Required
Maximum Lift to Drag Ratio of Aircraft: 30 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

WBF = (R/(E_battery*3600*η*(1/[g])*LDmax_ratio)) --> (10000/(21*3600*0.8*(1/[g])*30))

Evaluating ... ...

WBF = 0.0540489969135802

STEP 3: Convert Result to Output's Unit

0.0540489969135802 --> No Conversion Required

FINAL ANSWER

0.0540489969135802 ≈ 0.054049 <-- Battery Weight Fraction

(Calculation completed in 00.020 seconds)

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Created by Prasana Kannan

Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai

Prasana Kannan has created this Calculator and 25+ more calculators!

Verified by Kaki Varun Krishna

Mahatma Gandhi Institute of Technology (MGIT), Hyderabad

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< Design Process Calculators

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Weight Index given Minimum Design Index

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Minimum Design Index

LaTeX Go Minimum Design Index = ((Cost Index*Cost Priority (%))+(Weight Index*Weight Priority (%))+(Period Index*Period Priority (%)))/100

Battery Weight Fraction Formula

LaTeX Go

Battery Weight Fraction = (Range of Aircraft/(Battery Specific Energy Capacity*3600*Efficiency*(1/[g])*Maximum Lift to Drag Ratio of Aircraft))
WBF = (R/(E_battery*3600*η*(1/[g])*LDmax_ratio))

What is maximum lift over drag ratio?

Maximum lift over drag value affects directly and mainly the fuel and battery weight estimation. It's given by (L/D)max.

How to Calculate Battery Weight Fraction?

Battery Weight Fraction calculator uses Battery Weight Fraction = (Range of Aircraft/(Battery Specific Energy Capacity*3600*Efficiency*(1/[g])*Maximum Lift to Drag Ratio of Aircraft)) to calculate the Battery Weight Fraction, The Battery Weight Fraction refers to the proportion of the aircraft's total weight that is attributed to the battery or batteries onboard. It is expressed as a fraction or percentage of the aircraft's total weight. Battery Weight Fraction is denoted by WBF symbol.

How to calculate Battery Weight Fraction using this online calculator? To use this online calculator for Battery Weight Fraction, enter Range of Aircraft (R), Battery Specific Energy Capacity (E_battery), Efficiency (η) & Maximum Lift to Drag Ratio of Aircraft (LDmax_ratio) and hit the calculate button. Here is how the Battery Weight Fraction calculation can be explained with given input values -> 0.054049 = (10000/(21*3600*0.8*(1/[g])*30)).

FAQ

What is Battery Weight Fraction?

The Battery Weight Fraction refers to the proportion of the aircraft's total weight that is attributed to the battery or batteries onboard. It is expressed as a fraction or percentage of the aircraft's total weight and is represented as WBF = (R/(E_battery*3600*η*(1/[g])*LDmax_ratio)) or Battery Weight Fraction = (Range of Aircraft/(Battery Specific Energy Capacity*3600*Efficiency*(1/[g])*Maximum Lift to Drag Ratio of Aircraft)). Range of Aircraft is defined as the total distance (measured with respect to ground) traversed by the aircraft on a tank of fuel, Battery Specific Energy Capacity is a measure of how much energy a battery contains in comparison to its weight, typically expressed in Joule/kilogram or watt-hour/kilogram, The Efficiency of an electric motor is defined as the ratio of usable shaft power to electric input power & Maximum Lift to Drag Ratio of Aircraft while in cruise, the ratio of lift to drag coefficient is maximum in value.

How to calculate Battery Weight Fraction?

The Battery Weight Fraction refers to the proportion of the aircraft's total weight that is attributed to the battery or batteries onboard. It is expressed as a fraction or percentage of the aircraft's total weight is calculated using Battery Weight Fraction = (Range of Aircraft/(Battery Specific Energy Capacity*3600*Efficiency*(1/[g])*Maximum Lift to Drag Ratio of Aircraft)). To calculate Battery Weight Fraction, you need Range of Aircraft (R), Battery Specific Energy Capacity (E_battery), Efficiency (η) & Maximum Lift to Drag Ratio of Aircraft (LDmax_ratio). With our tool, you need to enter the respective value for Range of Aircraft, Battery Specific Energy Capacity, Efficiency & Maximum Lift to Drag Ratio of Aircraft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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