Tractive Effort Required for Linear and Angular Acceleration Calculator

✖Weight of Train is total weight of the train in tonns.ⓘ Weight of Train [W]			+10% -10%
✖Acceleration of Train is the rate of change in velocity to the change in time.ⓘ Acceleration of Train [α]			+10% -10%

✖Angular Accelration Tractive Effort is the torque required to overcome the frictional and inertial forces acting against the vehicle's rotation about an axis.ⓘ Tractive Effort Required for Linear and Angular Acceleration [F_ωα]

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Tractive Effort Required for Linear and Angular Acceleration

Formula

`"F"_{"ωα"} = 27.88*"W"*"α"`

Example

`"97580.01N"=27.88*"30000AT (US)"*"14.40km/h*s"`

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Tractive Effort Required for Linear and Angular Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Accelration Tractive Effort = 27.88*Weight of Train*Acceleration of Train
F_ωα = 27.88*W*α
This formula uses 3 Variables

Variables Used

Angular Accelration Tractive Effort - (Measured in Newton) - Angular Accelration Tractive Effort is the torque required to overcome the frictional and inertial forces acting against the vehicle's rotation about an axis.
Weight of Train - (Measured in Kilogram) - Weight of Train is total weight of the train in tonns.
Acceleration of Train - (Measured in Meter per Square Second) - Acceleration of Train is the rate of change in velocity to the change in time.

STEP 1: Convert Input(s) to Base Unit

Weight of Train: 30000 Ton (Assay) (US) --> 875.000100008866 Kilogram (Check conversion here)
Acceleration of Train: 14.4 Kilometer per Hour Second --> 4.0000000000032 Meter per Square Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_ωα = 27.88*W*α --> 27.88*875.000100008866*4.0000000000032

Evaluating ... ...

F_ωα = 97580.0111530668

STEP 3: Convert Result to Output's Unit

97580.0111530668 Newton --> No Conversion Required

FINAL ANSWER

97580.0111530668 ≈ 97580.01 Newton <-- Angular Accelration Tractive Effort

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Utilization of Electrical Energy » Electric Traction » Tractive Effort » Tractive Effort Required for Linear and Angular Acceleration

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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 Required for Linear and Angular Acceleration Formula

Angular Accelration Tractive Effort = 27.88*Weight of Train*Acceleration of Train
F_ωα = 27.88*W*α

Why is the Tractive Effort required?

Tractive effort is required to overcome the gravity component of train mass; overcome friction, windage, and curve resistance and accelerate the train mass.

How to Calculate Tractive Effort Required for Linear and Angular Acceleration?

Tractive Effort Required for Linear and Angular Acceleration calculator uses Angular Accelration Tractive Effort = 27.88*Weight of Train*Acceleration of Train to calculate the Angular Accelration Tractive Effort, The tractive effort required for linear and angular acceleration formula is defined as the product of the weight of the train, acceleration of the train with constant 27.88. Angular Accelration Tractive Effort is denoted by F_ωα symbol.

How to calculate Tractive Effort Required for Linear and Angular Acceleration using this online calculator? To use this online calculator for Tractive Effort Required for Linear and Angular Acceleration, enter Weight of Train (W) & Acceleration of Train (α) and hit the calculate button. Here is how the Tractive Effort Required for Linear and Angular Acceleration calculation can be explained with given input values -> 97580.01 = 27.88*875.000100008866*4.0000000000032.

FAQ

What is Tractive Effort Required for Linear and Angular Acceleration?

The tractive effort required for linear and angular acceleration formula is defined as the product of the weight of the train, acceleration of the train with constant 27.88 and is represented as F_ωα = 27.88*W*α or Angular Accelration Tractive Effort = 27.88*Weight of Train*Acceleration of Train. Weight of Train is total weight of the train in tonns & Acceleration of Train is the rate of change in velocity to the change in time.

How to calculate Tractive Effort Required for Linear and Angular Acceleration?

The tractive effort required for linear and angular acceleration formula is defined as the product of the weight of the train, acceleration of the train with constant 27.88 is calculated using Angular Accelration Tractive Effort = 27.88*Weight of Train*Acceleration of Train. To calculate Tractive Effort Required for Linear and Angular Acceleration, you need Weight of Train (W) & Acceleration of Train (α). With our tool, you need to enter the respective value for Weight of Train & Acceleration of 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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