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
Fωα = 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
Fωα = 27.88*W*α --> 27.88*875.000100008866*4.0000000000032
Evaluating ... ...
Fωα = 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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Created by Prahalad Singh
Jaipur Engineering College and Research Centre (JECRC), Jaipur
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Tractive Effort Calculators

Tractive Effort Required to Overcome Effect of Gravity
​ LaTeX ​ Go Gravity Tractive Effort = 1000*Weight of Train*[g]*sin(Angle D)
Tractive Effort at Wheel
​ LaTeX ​ Go Wheel Tractive Effort = (Pinion Edge Tractive Effort*Diameter of Pinion 2)/Diameter of Wheel
Tractive Effort Required to Overcome Train Resistance
​ LaTeX ​ Go Resistance Overcome Tractive Effort = Specific Resistance Train*Weight of Train
Tractive Effort at Edge of Pinion
​ LaTeX ​ Go Pinion Edge Tractive Effort = (2*Engine Torque)/Diameter of Pinion 1

Traction Physics Calculators

Tractive Effort during Acceleration
​ LaTeX ​ Go Acceleration Tractive Effort = (277.8*Accelerating Weight of Train*Acceleration of Train)+(Weight of Train*Specific Resistance Train)
Total Tractive Effort Required for Propulsion of Train
​ LaTeX ​ Go Train Tractive Effort = Resistance Overcome Tractive Effort+Gravity Overcome Tractive Effort+Force
Tractive Effort at Wheel
​ LaTeX ​ Go Wheel Tractive Effort = (Pinion Edge Tractive Effort*Diameter of Pinion 2)/Diameter of Wheel
Tractive Effort at Edge of Pinion
​ LaTeX ​ Go Pinion Edge Tractive Effort = (2*Engine Torque)/Diameter of Pinion 1

Tractive Effort Required for Linear and Angular Acceleration Formula

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