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Battery Weight Fraction Formula

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Battery Weight Fraction is the ratio between battery weight to gross weight. It is a dimensionless number. Check FAQs

WBF = (\frac{R}{E battery \cdot 3600 \cdot η \cdot (\frac{1}{[g]}) \cdot LDmax ratio})

WBF - Battery Weight Fraction?R - Range of Aircraft?E_battery - Battery Specific Energy Capacity?η - Efficiency?LDmax_ratio - Maximum Lift to Drag Ratio of Aircraft?[g] - Gravitational acceleration on Earth?

Battery Weight Fraction Example

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Here is how the Battery Weight Fraction equation looks like with Values.

Here is how the Battery Weight Fraction equation looks like with Units.

Here is how the Battery Weight Fraction equation looks like.

0.054 = (\frac{10}{21 \cdot 3600 \cdot 0.8 \cdot (\frac{1}{9.8066}) \cdot 30})

0.054 = (\frac{10km}{21J/kg \cdot 3600 \cdot 0.8 \cdot (\frac{1}{9.8066m/s²}) \cdot 30})

0.054 = (\frac{10}{21 \cdot 3600 \cdot 0.8 \cdot (\frac{1}{9.8066}) \cdot 30})

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Battery Weight Fraction Solution

Follow our step by step solution on how to calculate Battery Weight Fraction?

FIRST Step Consider the formula

WBF = (\frac{R}{E battery \cdot 3600 \cdot η \cdot (\frac{1}{[g]}) \cdot LDmax ratio})

Next Step Substitute values of Variables

∴

WBF = (\frac{10km}{21J/kg \cdot 3600 \cdot 0.8 \cdot (\frac{1}{[g]}) \cdot 30})

Next Step Substitute values of Constants

∴

WBF = (\frac{10km}{21J/kg \cdot 3600 \cdot 0.8 \cdot (\frac{1}{9.8066m/s²}) \cdot 30})

Next Step Convert Units

∴

WBF = (\frac{10000m}{21J/kg \cdot 3600 \cdot 0.8 \cdot (\frac{1}{9.8066m/s²}) \cdot 30})

Next Step Prepare to Evaluate

∴

WBF = (\frac{10000}{21 \cdot 3600 \cdot 0.8 \cdot (\frac{1}{9.8066}) \cdot 30})

Next Step Evaluate

∴

WBF = 0.0540489969135802

LAST Step Rounding Answer

∴

WBF = 0.054

Battery Weight Fraction Formula Elements

Variables

Constants

Battery Weight Fraction

Battery Weight Fraction is the ratio between battery weight to gross weight. It is a dimensionless number.

Symbol: WBF

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Battery Weight Fraction

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.

Symbol: R

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Range of Aircraft

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 Joule/kilogram or watt-hour/kilogram.

Symbol: E_battery

Measurement: Specific EnergyUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Battery Specific Energy Capacity

Efficiency

The Efficiency of an electric motor is defined as the ratio of usable shaft power to electric input power.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Efficiency

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.

Symbol: LDmax_ratio

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Maximum Lift to Drag Ratio of Aircraft

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other formulas in Design Process category

Go Minimum Design Index

DI min = \frac{(CI \cdot P c) + (WI \cdot P w) + (TI \cdot P t)}{100}

Go Cost Index given Minimum Design Index

CI = \frac{(DI min \cdot 100) - (WI \cdot P w) - (TI \cdot P t)}{P c}

Go Period of Design Index given Minimum Design Index

TI = \frac{(DI min \cdot 100) - (WI \cdot P w) - (CI \cdot P c)}{P t}

Go Weight Index given Minimum Design Index

WI = \frac{(DI min \cdot 100) - (CI \cdot P c) - (TI \cdot P t)}{P w}

How to Evaluate Battery Weight Fraction?

Battery Weight Fraction evaluator uses Battery Weight Fraction = (Range of Aircraft/(Battery Specific Energy Capacity*3600*Efficiency*(1/[g])*Maximum Lift to Drag Ratio of Aircraft)) to evaluate 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 evaluate Battery Weight Fraction using this online evaluator? To use this online evaluator 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.

FAQs on Battery Weight Fraction

What is the formula to find Battery Weight Fraction?

The formula of Battery Weight Fraction is expressed as Battery Weight Fraction = (Range of Aircraft/(Battery Specific Energy Capacity*3600*Efficiency*(1/[g])*Maximum Lift to Drag Ratio of Aircraft)). Here is an example- 0.054049 = (10000/(21*3600*0.8*(1/[g])*30)).

How to calculate Battery Weight Fraction?

With Range of Aircraft (R), Battery Specific Energy Capacity (E_battery), Efficiency (η) & Maximum Lift to Drag Ratio of Aircraft (LDmax_ratio) we can find Battery Weight Fraction using the formula - Battery Weight Fraction = (Range of Aircraft/(Battery Specific Energy Capacity*3600*Efficiency*(1/[g])*Maximum Lift to Drag Ratio of Aircraft)). This formula also uses Gravitational acceleration on Earth constant(s).

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Battery Weight Fraction Formula

Battery Weight Fraction Example

Battery Weight Fraction Solution

Battery Weight Fraction Formula Elements

Other formulas in Design Process category

How to Evaluate Battery Weight Fraction?

FAQs on Battery Weight Fraction

Variable Name