Tractive Effort Required during Free-Running Calculator

✖Weight of Train is total weight of the train in tonns.ⓘ Weight of Train [W]			+10% -10%
✖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.ⓘ Gradient [G]			+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%

✖Free Run Tractive Effort is refers to the pulling or pushing force that a vehicle or locomotive needs to overcome resistance and move forward.ⓘ Tractive Effort Required during Free-Running [F_free]

⎘ Copy

👎

Formula

✖

Tractive Effort Required during Free-Running

Formula

`"F"_{"free"} = (98.1*"W"*"G")+("W"*"R"_{"sp"})`

Example

`"52685.51N"=(98.1*"30000AT (US)"*"0.52")+("30000AT (US)"*"9.2")`

Calculator

LaTeX

Reset

👍

Download Electric Traction Formula PDF PDF Image

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)
F_free = (98.1*W*G)+(W*R_sp)
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

F_free = (98.1*W*G)+(W*R_sp) --> (98.1*875.000100008866*0.52)+(875.000100008866*9.2)

Evaluating ... ...

F_free = 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)

You are here -

Home » Engineering » Electrical » Utilization of Electrical Energy » Electric Traction » Tractive Effort » Tractive Effort Required during Free-Running

Credits

Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

Prahalad Singh has created this Calculator and 100+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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 during Free-Running Formula

Free Run Tractive Effort = (98.1*Weight of Train*Gradient)+(Weight of Train*Specific Resistance Train)
F_free = (98.1*W*G)+(W*R_sp)

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 F_free 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 (R_sp) 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 F_free = (98.1*W*G)+(W*R_sp) 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 (R_sp). 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.

Home

FREE PDFs

🔍 Search