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Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai
Prasana Kannan has created this Calculator and 25+ more calculators!
Mahatma Gandhi Institute of Technology (MGIT), Hyderabad
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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/Acceleration Due To Gravity)* Maximum Lift to Drag ratio of Aircraft))
Wbattery/Wo = (R/(Ebattery*3600* η*(1/g)* L/Dmax))
This formula uses 5 Variables
Variables Used
Range 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. (Measured in Kilometer)
Battery Specific Energy Capacity - Battery Specific Energy Capacity is a measure of how much energy a battery contains in comparison to its weight, typically expressed in 3600Joule/kilogram or watt-hour/kilogram. (Measured in Joule per Kilogram)
Efficiency- The efficiency of an electric motor is defined as the ratio of usable shaft power to electric input power.
Acceleration Due To Gravity - The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force. (Measured in Meter per Square Second)
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: 100 Kilometer --> 100000 Meter (Check conversion here)
Battery Specific Energy Capacity: 20 Joule per Kilogram --> 20 Joule per Kilogram No Conversion Required
Efficiency: 20 --> No Conversion Required
Acceleration Due To Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Maximum Lift to Drag ratio of Aircraft: 30 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Wbattery/Wo = (R/(Ebattery*3600* η*(1/g)* L/Dmax)) --> (100000/(20*3600* 20*(1/9.8)* 30))
Evaluating ... ...
Wbattery/Wo = 0.0226851851851852
STEP 3: Convert Result to Output's Unit
0.0226851851851852 --> No Conversion Required
FINAL ANSWER
0.0226851851851852 <-- Battery Weight Fraction
(Calculation completed in 00.016 seconds)

3 Aircraft Design Calculators

Battery Weight Fraction
Battery Weight Fraction = (Range of aircraft/(Battery Specific Energy Capacity*3600* Efficiency*(1/Acceleration Due To Gravity)* Maximum Lift to Drag ratio of Aircraft)) Go
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Electric_power_windturbine = Shaft Power*Efficiency_Generator*Efficiency of transmission Go
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Battery Weight Fraction Formula

Battery Weight Fraction = (Range of aircraft/(Battery Specific Energy Capacity*3600* Efficiency*(1/Acceleration Due To Gravity)* Maximum Lift to Drag ratio of Aircraft))
Wbattery/Wo = (R/(Ebattery*3600* η*(1/g)* L/Dmax))

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/Acceleration Due To Gravity)* Maximum Lift to Drag ratio of Aircraft)) to calculate the Battery Weight Fraction, The Battery Weight Fraction formula is used to determine the required battery weight depending on the range and the battery energy capacity. Battery Weight Fraction is denoted by Wbattery/Wo 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 (Ebattery), Efficiency (η), Acceleration Due To Gravity (g) & Maximum Lift to Drag ratio of Aircraft (L/Dmax) and hit the calculate button. Here is how the Battery Weight Fraction calculation can be explained with given input values -> 0.022685 = (100000/(20*3600* 20*(1/9.8)* 30)) .

FAQ

What is Battery Weight Fraction?
The Battery Weight Fraction formula is used to determine the required battery weight depending on the range and the battery energy capacity and is represented as Wbattery/Wo = (R/(Ebattery*3600* η*(1/g)* L/Dmax)) or Battery Weight Fraction = (Range of aircraft/(Battery Specific Energy Capacity*3600* Efficiency*(1/Acceleration Due To Gravity)* 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 3600Joule/kilogram or watt-hour/kilogram, The efficiency of an electric motor is defined as the ratio of usable shaft power to electric input power, The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force & 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 formula is used to determine the required battery weight depending on the range and the battery energy capacity is calculated using Battery Weight Fraction = (Range of aircraft/(Battery Specific Energy Capacity*3600* Efficiency*(1/Acceleration Due To Gravity)* Maximum Lift to Drag ratio of Aircraft)) . To calculate Battery Weight Fraction, you need Range of aircraft (R), Battery Specific Energy Capacity (Ebattery), Efficiency (η), Acceleration Due To Gravity (g) & Maximum Lift to Drag ratio of Aircraft (L/Dmax). With our tool, you need to enter the respective value for Range of aircraft, Battery Specific Energy Capacity, Efficiency, Acceleration Due To Gravity & 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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