Tractive Effort during Acceleration Calculator

✖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%
✖Acceleration of Train is the rate of change in velocity to the change in time.ⓘ Acceleration of Train [α]			+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%

✖Acceleration Tractive effort to the force exerted by a locomotive or a vehicle's driving wheels on the track, which is necessary to overcome the resistance and accelerate the vehicle forward.ⓘ Tractive Effort during Acceleration [F_α]

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Formula

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Tractive Effort during Acceleration

Formula

`"F"_{"α"} = (277.8*"W"_{"e"}*"α")+("W"*"R"_{"sp"})`

Example

`"1.1E^6N"=(277.8*"33000AT (US)"*"14.40km/h*s")+("30000AT (US)"*"9.2")`

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Tractive Effort during Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acceleration Tractive Effort = (277.8*Accelerating Weight of Train*Acceleration of Train)+(Weight of Train*Specific Resistance Train)
F_α = (277.8*W_e*α)+(W*R_sp)
This formula uses 5 Variables

Variables Used

Acceleration Tractive Effort - (Measured in Newton) - Acceleration Tractive effort to the force exerted by a locomotive or a vehicle's driving wheels on the track, which is necessary to overcome the resistance and accelerate the vehicle forward.
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.
Acceleration of Train - (Measured in Meter per Square Second) - Acceleration of Train is the rate of change in velocity to the change in time.
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.

STEP 1: Convert Input(s) to Base Unit

Accelerating Weight of Train: 33000 Ton (Assay) (US) --> 962.500110009752 Kilogram (Check conversion here)
Acceleration of Train: 14.4 Kilometer per Hour Second --> 4.0000000000032 Meter per Square Second (Check conversion here)
Weight of Train: 30000 Ton (Assay) (US) --> 875.000100008866 Kilogram (Check conversion here)
Specific Resistance Train: 9.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_α = (277.8*W_e*α)+(W*R_sp) --> (277.8*962.500110009752*4.0000000000032)+(875.000100008866*9.2)

Evaluating ... ...

F_α = 1077580.12316377

STEP 3: Convert Result to Output's Unit

1077580.12316377 Newton --> No Conversion Required

FINAL ANSWER

1077580.12316377 ≈ 1.1E+6 Newton <-- Acceleration Tractive Effort

(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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< 11 Tractive Effort Calculators

Tractive Effort on Driven Wheel

Go Wheel Tractive Effort = (Gear Ratio of Transmission*Gear Ratio of Final Drive*(Efficiency of Driveline/100)*Torque Output from Powerplant)/Effective Radius of Wheel

Tractive Effort during Acceleration

Go Acceleration Tractive Effort = (277.8*Accelerating Weight of Train*Acceleration of Train)+(Weight of Train*Specific Resistance Train)

Tractive Effort Required while going down Gradient

Go Down Gradient Tractive Effort = (Weight of Train*Specific Resistance Train)-(98.1*Weight of Train*Gradient)

Tractive Effort Required during Free-Running

Go Free Run Tractive Effort = (98.1*Weight of Train*Gradient)+(Weight of Train*Specific Resistance Train)

Total Tractive Effort Required for Propulsion of Train

Go Train Tractive Effort = Resistance Overcome Tractive Effort+Gravity Overcome Tractive Effort+Force

Tractive Effort Required to Overcome Effect of Gravity

Go Gravity Tractive Effort = 1000*Weight of Train*[g]*sin(Angle D)

Tractive Effort at Wheel

Go Wheel Tractive Effort = (Pinion Edge Tractive Effort*Diameter of Pinion 2)/Diameter of Wheel

Tractive Effort Required for Linear and Angular Acceleration

Go Angular Accelration Tractive Effort = 27.88*Weight of Train*Acceleration of Train

Tractive Effort Required to Overcome Train Resistance

Go Resistance Overcome Tractive Effort = Specific Resistance Train*Weight of Train

Tractive Effort at Edge of Pinion

Go Pinion Edge Tractive Effort = (2*Engine Torque)/Diameter of Pinion 1

Tractive Effort Required to Overcome Effect of Gravity given Gradient during up Gradient

Go Tractive Effort of Up Gradient = 98.1*Weight of Train*Gradient

< 15 Traction Physics Calculators

Tractive Effort on Driven Wheel

Go Wheel Tractive Effort = (Gear Ratio of Transmission*Gear Ratio of Final Drive*(Efficiency of Driveline/100)*Torque Output from Powerplant)/Effective Radius of Wheel

Energy Available during Regeneration

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

Tractive Effort during Acceleration

Go Acceleration Tractive Effort = (277.8*Accelerating Weight of Train*Acceleration of Train)+(Weight of Train*Specific Resistance Train)

Slip of Scherbius Drive given RMS Line Voltage

Go Slip = (Back Emf/RMS Value of Rotor Side Line Voltage)*modulus(cos(Firing Angle))

Tractive Effort Required while going down Gradient

Go Down Gradient Tractive Effort = (Weight of Train*Specific Resistance Train)-(98.1*Weight of Train*Gradient)

Tractive Effort Required during Free-Running

Go Free Run Tractive Effort = (98.1*Weight of Train*Gradient)+(Weight of Train*Specific Resistance Train)

Total Tractive Effort Required for Propulsion of Train

Go Train Tractive Effort = Resistance Overcome Tractive Effort+Gravity Overcome Tractive Effort+Force

Tractive Effort Required to Overcome Effect of Gravity

Go Gravity Tractive Effort = 1000*Weight of Train*[g]*sin(Angle D)

Tractive Effort at Wheel

Go Wheel Tractive Effort = (Pinion Edge Tractive Effort*Diameter of Pinion 2)/Diameter of Wheel

Energy Consumption for Overcoming Gradient and Tracking Resistance

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

Power Output of Motor using Efficiency of Gear Transmission

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

Tractive Effort Required for Linear and Angular Acceleration

Go Angular Accelration Tractive Effort = 27.88*Weight of Train*Acceleration of Train

Tractive Effort Required to Overcome Train Resistance

Go Resistance Overcome Tractive Effort = Specific Resistance Train*Weight of Train

Tractive Effort at Edge of Pinion

Go Pinion Edge Tractive Effort = (2*Engine Torque)/Diameter of Pinion 1

Tractive Effort Required to Overcome Effect of Gravity given Gradient during up Gradient

Go Tractive Effort of Up Gradient = 98.1*Weight of Train*Gradient

Tractive Effort during Acceleration Formula

Acceleration Tractive Effort = (277.8*Accelerating Weight of Train*Acceleration of Train)+(Weight of Train*Specific Resistance Train)
F_α = (277.8*W_e*α)+(W*R_sp)

Why train resistance is present in the trains?

Train resistance is due to friction at the various parts of the rolling stock, Friction at the track, and air resistance.

How to Calculate Tractive Effort during Acceleration?

Tractive Effort during Acceleration calculator uses Acceleration Tractive Effort = (277.8*Accelerating Weight of Train*Acceleration of Train)+(Weight of Train*Specific Resistance Train) to calculate the Acceleration Tractive Effort, The tractive effort during acceleration formula is defined as the addition of the tractive effort required for acceleration and tractive effort to overcome the train resistance. Acceleration Tractive Effort is denoted by F_α symbol.

How to calculate Tractive Effort during Acceleration using this online calculator? To use this online calculator for Tractive Effort during Acceleration, enter Accelerating Weight of Train (W_e), Acceleration of Train (α), Weight of Train (W) & Specific Resistance Train (R_sp) and hit the calculate button. Here is how the Tractive Effort during Acceleration calculation can be explained with given input values -> 1.1E+6 = (277.8*962.500110009752*4.0000000000032)+(875.000100008866*9.2).

FAQ

What is Tractive Effort during Acceleration?

The tractive effort during acceleration formula is defined as the addition of the tractive effort required for acceleration and tractive effort to overcome the train resistance and is represented as F_α = (277.8*W_e*α)+(W*R_sp) or Acceleration Tractive Effort = (277.8*Accelerating Weight of Train*Acceleration of Train)+(Weight of Train*Specific Resistance 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, Acceleration of Train is the rate of change in velocity to the change in time, 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.

How to calculate Tractive Effort during Acceleration?

The tractive effort during acceleration formula is defined as the addition of the tractive effort required for acceleration and tractive effort to overcome the train resistance is calculated using Acceleration Tractive Effort = (277.8*Accelerating Weight of Train*Acceleration of Train)+(Weight of Train*Specific Resistance Train). To calculate Tractive Effort during Acceleration, you need Accelerating Weight of Train (W_e), Acceleration of Train (α), Weight of Train (W) & Specific Resistance Train (R_sp). With our tool, you need to enter the respective value for Accelerating Weight of Train, Acceleration of Train, Weight of Train & Specific Resistance Train 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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