Tractive Effort at Edge of Pinion Calculator

✖Engine Torque is defined as the torque generated by the motor of a vehicle.ⓘ Engine Torque [τ_e]			+10% -10%
✖The Diameter of Pinion 1 is known as when two gears run together, the one with the smaller number of teeth is called the pinion and its diameter is pinion diameter.ⓘ Diameter of Pinion 1 [d₁]			+10% -10%

✖Pinion Edge Tractive Effort is the effective force acting on the wheel of the locomotive, necessary to propel the train.ⓘ Tractive Effort at Edge of Pinion [F_pin]

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Formula

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Tractive Effort at Edge of Pinion

Formula

`"F"_{"pin"} = (2*"τ"_{"e"})/"d"_{"1"}`

Example

`"64N"=(2*"4N*m")/"0.125m"`

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Tractive Effort at Edge of Pinion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pinion Edge Tractive Effort = (2*Engine Torque)/Diameter of Pinion 1
F_pin = (2*τ_e)/d₁
This formula uses 3 Variables

Variables Used

Pinion Edge Tractive Effort - (Measured in Newton) - Pinion Edge Tractive Effort is the effective force acting on the wheel of the locomotive, necessary to propel the train.
Engine Torque - (Measured in Newton Meter) - Engine Torque is defined as the torque generated by the motor of a vehicle.
Diameter of Pinion 1 - (Measured in Meter) - The Diameter of Pinion 1 is known as when two gears run together, the one with the smaller number of teeth is called the pinion and its diameter is pinion diameter.

STEP 1: Convert Input(s) to Base Unit

Engine Torque: 4 Newton Meter --> 4 Newton Meter No Conversion Required
Diameter of Pinion 1: 0.125 Meter --> 0.125 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_pin = (2*τ_e)/d₁ --> (2*4)/0.125

Evaluating ... ...

F_pin = 64

STEP 3: Convert Result to Output's Unit

64 Newton --> No Conversion Required

FINAL ANSWER

64 Newton <-- Pinion Edge Tractive Effort

(Calculation completed in 00.004 seconds)

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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 at Edge of Pinion Formula

Pinion Edge Tractive Effort = (2*Engine Torque)/Diameter of Pinion 1
F_pin = (2*τ_e)/d₁

What is the main features of electric traction ?

The main features of electric traction is High mechanical strength. Traction motor must be mechanically strong and robust and it should be capable of withstanding severe mechanical vibrations.

How to Calculate Tractive Effort at Edge of Pinion?

Tractive Effort at Edge of Pinion calculator uses Pinion Edge Tractive Effort = (2*Engine Torque)/Diameter of Pinion 1 to calculate the Pinion Edge Tractive Effort, The Tractive Effort at edge of pinion formula is defined as the ratio of two times of torque to the diameter of the pinion. Pinion Edge Tractive Effort is denoted by F_pin symbol.

How to calculate Tractive Effort at Edge of Pinion using this online calculator? To use this online calculator for Tractive Effort at Edge of Pinion, enter Engine Torque (τ_e) & Diameter of Pinion 1 (d₁) and hit the calculate button. Here is how the Tractive Effort at Edge of Pinion calculation can be explained with given input values -> 64 = (2*4)/0.125.

FAQ

What is Tractive Effort at Edge of Pinion?

The Tractive Effort at edge of pinion formula is defined as the ratio of two times of torque to the diameter of the pinion and is represented as F_pin = (2*τ_e)/d₁ or Pinion Edge Tractive Effort = (2*Engine Torque)/Diameter of Pinion 1. Engine Torque is defined as the torque generated by the motor of a vehicle & The Diameter of Pinion 1 is known as when two gears run together, the one with the smaller number of teeth is called the pinion and its diameter is pinion diameter.

How to calculate Tractive Effort at Edge of Pinion?

The Tractive Effort at edge of pinion formula is defined as the ratio of two times of torque to the diameter of the pinion is calculated using Pinion Edge Tractive Effort = (2*Engine Torque)/Diameter of Pinion 1. To calculate Tractive Effort at Edge of Pinion, you need Engine Torque (τ_e) & Diameter of Pinion 1 (d₁). With our tool, you need to enter the respective value for Engine Torque & Diameter of Pinion 1 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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