Energy Consumption at Axle of Train Calculator

✖Crest Speed is the maximum speed attained by the train during the run.ⓘ Crest Speed [V_m]			+10% -10%
✖Distance Travelled by Train is the total length or distance covered by the train during travel in km.ⓘ Distance Travelled by Train [D]			+10% -10%
✖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.ⓘ Accelerating Weight of Train [W_e]			+10% -10%
✖Weight of Train is total weight of the train in tonns.ⓘ Weight of Train [W]			+10% -10%
✖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.ⓘ Specific Resistance Train [R_sp]			+10% -10%
✖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.ⓘ Diameter of Pinion 1 [d₁]			+10% -10%

✖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.ⓘ Energy Consumption at Axle of Train [E_A]

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Formula

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Energy Consumption at Axle of Train

Formula

`"E"_{"A"} = 0.01072*("V"_{"m"}^2/"D")*("W"_{"e"}/"W")+0.2778*"R"_{"sp"}*("d"_{"1"}/"D")`

Example

`"9.8E^-9W*h"=0.01072*(("98.35km/h")^2/"258km")*("33000AT (US)"/"30000AT (US)")+0.2778*"9.2"*("0.125m"/"258km")`

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Energy Consumption at Axle of Train Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
E_A = 0.01072*(V_m^2/D)*(W_e/W)+0.2778*R_sp*(d₁/D)
This formula uses 7 Variables

Variables Used

Energy Consumption at Axle of Train - (Measured in Joule) - 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.
Crest Speed - (Measured in Meter per Second) - Crest Speed is the maximum speed attained by the train during the run.
Distance Travelled by Train - (Measured in Meter) - Distance Travelled by Train is the total length or distance covered by the train during travel in km.
Accelerating Weight of Train - (Measured in Kilogram) - 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.
Weight of Train - (Measured in Kilogram) - Weight of Train is total weight of the train in tonns.
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.
Diameter of Pinion 1 - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Crest Speed: 98.35 Kilometer per Hour --> 27.3194444444444 Meter per Second (Check conversion here)
Distance Travelled by Train: 258 Kilometer --> 258000 Meter (Check conversion here)
Accelerating Weight of Train: 33000 Ton (Assay) (US) --> 962.500110009752 Kilogram (Check conversion here)
Weight of Train: 30000 Ton (Assay) (US) --> 875.000100008866 Kilogram (Check conversion here)
Specific Resistance Train: 9.2 --> No Conversion Required
Diameter of Pinion 1: 0.125 Meter --> 0.125 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_A = 0.01072*(V_m^2/D)*(W_e/W)+0.2778*R_sp*(d₁/D) --> 0.01072*(27.3194444444444^2/258000)*(962.500110009752/875.000100008866)+0.2778*9.2*(0.125/258000)

Evaluating ... ...

E_A = 3.53505942315053E-05

STEP 3: Convert Result to Output's Unit

3.53505942315053E-05 Joule -->9.81960950875147E-09 Watt-Hour (Check conversion here)

FINAL ANSWER

9.81960950875147E-09 ≈ 9.8E-9 Watt-Hour <-- Energy Consumption at Axle of Train

(Calculation completed in 00.004 seconds)

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Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

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Birsa Institute of Technology (BIT), Sindri

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< 8 Power & Energy Calculators

Energy Consumption at Axle of Train

Go 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)

Energy Available during Regeneration

Go Energy Consumption during Regeneration = 0.01072*(Accelerating Weight of Train/Weight of Train)*(Final Velocity^2-Initial Velocity^2)

Energy Available due to Reduction in Speed

Go Energy Consumption by Train = 0.01072*Accelerating Weight of Train*Final Velocity^2-Initial Velocity^2

Specific Energy Consumption

Go Specific Energy Consumption = Energy required by Train/(Weight of Train*Distance Travelled by Train)

Energy Consumption for Overcoming Gradient and Tracking Resistance

Go Energy Consumption for Overcoming Gradient = Tractive Effort*Velocity*Time Taken by Train

Energy Consumption for Run

Go Energy Consumption for Run = 0.5*Tractive Effort*Crest Speed*Time for Acceleration

Power Output of Motor using Efficiency of Gear Transmission

Go Power Output Train = (Tractive Effort*Velocity)/(3600*Gear Efficiency)

Maximum Power Output from Driving Axle

Go Maximum Output Power = (Tractive Effort*Crest Speed)/3600

Energy Consumption at Axle of Train Formula

What is axle?

n axle or axletree is a central shaft for a rotating wheel or gear. On wheeled vehicles, the axle may be fixed to the wheels, rotating with them, or fixed to the vehicle, with the wheels rotating around the axle. In the former case, bearings or bushings are provided at the mounting points where the axle is supported.

How to Calculate Energy Consumption at Axle of Train?

Energy Consumption at Axle of Train calculator 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 calculate 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 calculate Energy Consumption at Axle of Train using this online calculator? To use this online calculator 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. Here is how the Energy Consumption at Axle of Train calculation can be explained with given input values -> 2.7E-12 = 0.01072*(27.3194444444444^2/258000)*(962.500110009752/875.000100008866)+0.2778*9.2*(0.125/258000).

FAQ

What is 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 and is represented as E_A = 0.01072*(V_m^2/D)*(W_e/W)+0.2778*R_sp*(d₁/D) or 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). Crest Speed is the maximum speed attained by the train during the run, Distance Travelled by Train is the total length or distance covered by the train during travel in km, 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, Weight of Train is total weight of the train in tonns, 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 & 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.

How to calculate 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 is calculated using 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 calculate Energy Consumption at Axle of Train, you need 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). With our tool, you need to enter the respective value for Crest Speed, Distance Travelled by Train, Accelerating Weight of Train, Weight of Train, Specific Resistance Train & Diameter of Pinion 1 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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