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Energy Consumption at Axle of Train Formula

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The energy consumption at axle of train refers to the amount of energy required to power the locomotive and move the train forward through the rotation of its wheels. Check FAQs

E A = 0.01072 \cdot (\frac{{V m}^{2}}{D}) \cdot (\frac{W e}{W}) + 0.2778 \cdot R sp \cdot (\frac{d 1}{D})

E_A - Energy Consumption at Axle of Train?V_m - Crest Speed?D - Distance Travelled by Train?W_e - Accelerating Weight of Train?W - Weight of Train?R_sp - Specific Resistance Train?d₁ - Diameter of Pinion 1?

Energy Consumption at Axle of Train Example

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Here is how the Energy Consumption at Axle of Train equation looks like with Values.

Here is how the Energy Consumption at Axle of Train equation looks like with Units.

Here is how the Energy Consumption at Axle of Train equation looks like.

9.8E-9 = 0.01072 \cdot (\frac{{98.35}^{2}}{258}) \cdot (\frac{33000}{30000}) + 0.2778 \cdot 9.2 \cdot (\frac{0.125}{258})

9.8E-9W*h = 0.01072 \cdot (\frac{{98.35km/h}^{2}}{258km}) \cdot (\frac{33000AT (US)}{30000AT (US)}) + 0.2778 \cdot 9.2 \cdot (\frac{0.125m}{258km})

9.8E-9 = 0.01072 \cdot (\frac{{98.35}^{2}}{258}) \cdot (\frac{33000}{30000}) + 0.2778 \cdot 9.2 \cdot (\frac{0.125}{258})

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Home » Engineering » Electrical » Utilization of Electrical Energy » Energy Consumption at Axle of Train

Energy Consumption at Axle of Train Solution

Follow our step by step solution on how to calculate Energy Consumption at Axle of Train?

FIRST Step Consider the formula

E A = 0.01072 \cdot (\frac{{V m}^{2}}{D}) \cdot (\frac{W e}{W}) + 0.2778 \cdot R sp \cdot (\frac{d 1}{D})

Next Step Substitute values of Variables

∴

E A = 0.01072 \cdot (\frac{{98.35km/h}^{2}}{258km}) \cdot (\frac{33000AT (US)}{30000AT (US)}) + 0.2778 \cdot 9.2 \cdot (\frac{0.125m}{258km})

Next Step Convert Units

∴

E A = 0.01072 \cdot (\frac{{27.3194m/s}^{2}}{258000m}) \cdot (\frac{962.5001kg}{875.0001kg}) + 0.2778 \cdot 9.2 \cdot (\frac{0.125m}{258000m})

Next Step Prepare to Evaluate

∴

E A = 0.01072 \cdot (\frac{{27.3194}^{2}}{258000}) \cdot (\frac{962.5001}{875.0001}) + 0.2778 \cdot 9.2 \cdot (\frac{0.125}{258000})

Next Step Evaluate

∴

E A = 3.53505942315053E-05J

Next Step Convert to Output's Unit

∴

E A = 9.81960950875147E-09W*h

LAST Step Rounding Answer

∴

E A = 9.8E-9W*h

Energy Consumption at Axle of Train Formula Elements

Variables

Energy Consumption at Axle of Train

The energy consumption at axle of train refers to the amount of energy required to power the locomotive and move the train forward through the rotation of its wheels.

Symbol: E_A

Measurement: EnergyUnit: W*h

Note: Value can be positive or negative.

Crest Speed

Crest Speed is the maximum speed attained by the train during the run.

Symbol: V_m

Measurement: SpeedUnit: km/h

Note: Value can be positive or negative.

Distance Travelled by Train

Distance Travelled by Train is the total length or distance covered by the train during travel in km.

Symbol: D

Measurement: LengthUnit: km

Note: Value can be positive or negative.

Accelerating Weight of Train

Accelerating Weight of Train is the effective weight of train that has angular acceleration due to the rotational inertia including the dead weight of the train.

Symbol: W_e

Measurement: WeightUnit: AT (US)

Note: Value can be positive or negative.

Weight of Train

Weight of Train is total weight of the train in tonns.

Symbol: W

Measurement: WeightUnit: AT (US)

Note: Value can be positive or negative.

Specific Resistance Train

Specific Resistance Train is defined in terms of force required to encounter resistance arising due to vehicle, track, grade, curve, acceleration, wind at different time and place etc.

Symbol: R_sp

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Diameter of Pinion 1

The Diameter of Pinion 1 is known as when two gears run together, the one with the smaller number of teeth is called the pinion and its diameter is pinion diameter.

Symbol: d₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Credits

Creator Image

Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

Prahalad Singh has created this Formula and 100+ more formulas!

Verifier Image

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Formula and 1900+ more formulas!

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How to Evaluate Energy Consumption at Axle of Train?

Energy Consumption at Axle of Train evaluator uses Energy Consumption at Axle of Train = 0.01072*(Crest Speed^2/Distance Travelled by Train)*(Accelerating Weight of Train/Weight of Train)+0.2778*Specific Resistance Train*(Diameter of Pinion 1/Distance Travelled by Train) to evaluate the Energy Consumption at Axle of Train, The energy consumption at axle of train is the amount of energy in kW hour which is consumed during traveling by the axle of the wheel of the train. Energy Consumption at Axle of Train is denoted by E_A symbol.

How to evaluate Energy Consumption at Axle of Train using this online evaluator? To use this online evaluator for Energy Consumption at Axle of Train, enter Crest Speed (V_m), Distance Travelled by Train (D), Accelerating Weight of Train (W_e), Weight of Train (W), Specific Resistance Train (R_sp) & Diameter of Pinion 1 (d₁) and hit the calculate button.

FAQs on Energy Consumption at Axle of Train

What is the formula to find Energy Consumption at Axle of Train?

The formula of Energy Consumption at Axle of Train is expressed as Energy Consumption at Axle of Train = 0.01072*(Crest Speed^2/Distance Travelled by Train)*(Accelerating Weight of Train/Weight of Train)+0.2778*Specific Resistance Train*(Diameter of Pinion 1/Distance Travelled by Train). Here is an example- 2.7E-12 = 0.01072*(27.3194444444444^2/258000)*(962.500110009752/875.000100008866)+0.2778*9.2*(0.125/258000).

How to calculate Energy Consumption at Axle of Train?

With Crest Speed (V_m), Distance Travelled by Train (D), Accelerating Weight of Train (W_e), Weight of Train (W), Specific Resistance Train (R_sp) & Diameter of Pinion 1 (d₁) we can find Energy Consumption at Axle of Train using the formula - Energy Consumption at Axle of Train = 0.01072*(Crest Speed^2/Distance Travelled by Train)*(Accelerating Weight of Train/Weight of Train)+0.2778*Specific Resistance Train*(Diameter of Pinion 1/Distance Travelled by Train).

Can the Energy Consumption at Axle of Train be negative?

Yes, the Energy Consumption at Axle of Train, measured in Energy can be negative.

Which unit is used to measure Energy Consumption at Axle of Train?

Energy Consumption at Axle of Train is usually measured using the Watt-Hour[W*h] for Energy. Joule[W*h], Kilojoule[W*h], Gigajoule[W*h] are the few other units in which Energy Consumption at Axle of Train can be measured.

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