Battery Weight Fraction Calculator

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Physics	Aircraft Design ↺

✖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 3600Joule/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%
✖The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration Due To Gravity [g]			+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 [L/D_max]			+10% -10%

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

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Credits

Prasana Kannan

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

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

Kaki Varun Krishna

Mahatma Gandhi Institute of Technology (MGIT), Hyderabad

Kaki Varun Krishna has verified this Calculator and 10+ more calculators!

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))
W_battery/W_o = (R/(E_battery*3600* η*(1/g)* L/D_max))
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

W_battery/W_o = (R/(E_battery*3600* η*(1/g)* L/D_max)) --> (100000/(20*3600* 20*(1/9.8)* 30))

Evaluating ... ...

W_battery/W_o = 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)

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Battery Weight Fraction Formula

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 W_battery/W_o 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), Acceleration Due To Gravity (g) & Maximum Lift to Drag ratio of Aircraft (L/D_max) 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 W_battery/W_o = (R/(E_battery*3600* η*(1/g)* L/D_max)) 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 (E_battery), Efficiency (η), Acceleration Due To Gravity (g) & Maximum Lift to Drag ratio of Aircraft (L/D_max). 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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