Tractive Effort Required during Free-Running Solution

STEP 0: Pre-Calculation Summary
Formula Used
Free Run Tractive Effort = (98.1*Weight of Train*Gradient)+(Weight of Train*Specific Resistance Train)
Ffree = (98.1*W*G)+(W*Rsp)
This formula uses 4 Variables
Variables Used
Free Run Tractive Effort - (Measured in Newton) - Free Run Tractive Effort is refers to the pulling or pushing force that a vehicle or locomotive needs to overcome resistance and move forward.
Weight of Train - (Measured in Kilogram) - Weight of Train is total weight of the train in tonns.
Gradient - The Gradient is simply the product of the sine angle and constant 100 for the train. It is expressed in the percentage of the rise in meters in the track distance of 100 metres.
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
Weight of Train: 30000 Ton (Assay) (US) --> 875.000100008866 Kilogram (Check conversion ​here)
Gradient: 0.52 --> No Conversion Required
Specific Resistance Train: 9.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ffree = (98.1*W*G)+(W*Rsp) --> (98.1*875.000100008866*0.52)+(875.000100008866*9.2)
Evaluating ... ...
Ffree = 52685.5060217338
STEP 3: Convert Result to Output's Unit
52685.5060217338 Newton --> No Conversion Required
FINAL ANSWER
52685.5060217338 52685.51 Newton <-- Free Run 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 during Free-Running Formula

​LaTeX ​Go
Free Run Tractive Effort = (98.1*Weight of Train*Gradient)+(Weight of Train*Specific Resistance Train)
Ffree = (98.1*W*G)+(W*Rsp)

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 during Free-Running?

Tractive Effort Required during Free-Running calculator uses Free Run Tractive Effort = (98.1*Weight of Train*Gradient)+(Weight of Train*Specific Resistance Train) to calculate the Free Run Tractive Effort, The Tractive effort required during free-running formula is defined as the addition of the product of the weight of the train, the gradient of the train with constant 98.1, and product of the weight of the train, specific train resistance. Free Run Tractive Effort is denoted by Ffree symbol.

How to calculate Tractive Effort Required during Free-Running using this online calculator? To use this online calculator for Tractive Effort Required during Free-Running, enter Weight of Train (W), Gradient (G) & Specific Resistance Train (Rsp) and hit the calculate button. Here is how the Tractive Effort Required during Free-Running calculation can be explained with given input values -> 52685.51 = (98.1*875.000100008866*0.52)+(875.000100008866*9.2).

FAQ

What is Tractive Effort Required during Free-Running?
The Tractive effort required during free-running formula is defined as the addition of the product of the weight of the train, the gradient of the train with constant 98.1, and product of the weight of the train, specific train resistance and is represented as Ffree = (98.1*W*G)+(W*Rsp) or Free Run Tractive Effort = (98.1*Weight of Train*Gradient)+(Weight of Train*Specific Resistance Train). Weight of Train is total weight of the train in tonns, The Gradient is simply the product of the sine angle and constant 100 for the train. It is expressed in the percentage of the rise in meters in the track distance of 100 metres & 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 Required during Free-Running?
The Tractive effort required during free-running formula is defined as the addition of the product of the weight of the train, the gradient of the train with constant 98.1, and product of the weight of the train, specific train resistance is calculated using Free Run Tractive Effort = (98.1*Weight of Train*Gradient)+(Weight of Train*Specific Resistance Train). To calculate Tractive Effort Required during Free-Running, you need Weight of Train (W), Gradient (G) & Specific Resistance Train (Rsp). With our tool, you need to enter the respective value for Weight of Train, Gradient & 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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