Wheel Force Function Calculator

✖Gear ratio of transmission is the ratio between the revolutions of the engine crankshaft and the revolutions of the shaft which comes out of the gearbox.ⓘ Gear Ratio of Transmission [i]			+10% -10%
✖Gear ratio of final drive is the ratio between the revolutions of the gearbox shaft and the revolutions of the wheels.ⓘ Gear Ratio of Final Drive [i_o]			+10% -10%
✖Engine Torque is defined as the torque generated by the motor of a vehicle.ⓘ Engine Torque [τ_e]			+10% -10%
✖The Radius of Wheel is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.ⓘ Radius of Wheel [r_w]			+10% -10%

✖A wheel force function is the total force generated by each wheel on a drive train due to its rotation and friction between the traction line.ⓘ Wheel Force Function [F_w]

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Formula

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Wheel Force Function

Formula

`"F"_{"w"} = ("i"*"i"_{"o"}*"τ"_{"e"})/(2*"r"_{"w"})`

Example

`"5.396825N"=("2.55"*"2"*"4N*m")/(2*"1.89m")`

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Wheel Force Function Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wheel Force Function = (Gear Ratio of Transmission*Gear Ratio of Final Drive*Engine Torque)/(2*Radius of Wheel)
F_w = (i*i_o*τ_e)/(2*r_w)
This formula uses 5 Variables

Variables Used

Wheel Force Function - (Measured in Newton) - A wheel force function is the total force generated by each wheel on a drive train due to its rotation and friction between the traction line.
Gear Ratio of Transmission - Gear ratio of transmission is the ratio between the revolutions of the engine crankshaft and the revolutions of the shaft which comes out of the gearbox.
Gear Ratio of Final Drive - Gear ratio of final drive is the ratio between the revolutions of the gearbox shaft and the revolutions of the wheels.
Engine Torque - (Measured in Newton Meter) - Engine Torque is defined as the torque generated by the motor of a vehicle.
Radius of Wheel - (Measured in Meter) - The Radius of Wheel is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

STEP 1: Convert Input(s) to Base Unit

Gear Ratio of Transmission: 2.55 --> No Conversion Required
Gear Ratio of Final Drive: 2 --> No Conversion Required
Engine Torque: 4 Newton Meter --> 4 Newton Meter No Conversion Required
Radius of Wheel: 1.89 Meter --> 1.89 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_w = (i*i_o*τ_e)/(2*r_w) --> (2.55*2*4)/(2*1.89)

Evaluating ... ...

F_w = 5.3968253968254

STEP 3: Convert Result to Output's Unit

5.3968253968254 Newton --> No Conversion Required

FINAL ANSWER

5.3968253968254 ≈ 5.396825 Newton <-- Wheel Force Function

(Calculation completed in 00.004 seconds)

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Credits

Created by Aditya Prakash Gautam

Indian Institute of Technology (IIT (ISM) ), Dhanbad, Jharkhand

Aditya Prakash Gautam has created this Calculator and 25+ more calculators!

Verified by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

Peri Krishna Karthik has verified this Calculator and 8 more calculators!

< 13 Mechanics of Train Movement Calculators

Translational Speed of Wheel Center

Go Translational Speed = (pi*Effective Radius of Wheel*Speed of Motor Shaft in Powerplant)/(30*Gear Ratio of Transmission*Gear Ratio of Final Drive)

Wheel Force Function

Go Wheel Force Function = (Gear Ratio of Transmission*Gear Ratio of Final Drive*Engine Torque)/(2*Radius of Wheel)

Rotating Speed of Driven Wheel

Go Rotating Speed of Driven Wheels = (Speed of Motor Shaft in Powerplant)/(Gear Ratio of Transmission*Gear Ratio of Final Drive)

Aerodynamic Drag Force

Go Drag Force = Drag Coefficient*((Mass Density*Flow Velocity^2)/2)*Reference Area

Schedule Speed

Go Schedule Speed = Distance Travelled by Train/(Running Time of Train+Stop Time of Train)

Crest Speed given Time for Acceleration

Go Crest Speed = Time for Acceleration*Acceleration of Train

Coefficient of Adhesion

Go Coefficient of Adhesion = Tractive Effort/Weight of Train

Time for Acceleration

Go Time for Acceleration = Crest Speed/Acceleration of Train

Schedule Time

Go Schedule Time = Running Time of Train+Stop Time of Train

Retardation of Train

Go Retardation of Train = Crest Speed/Time for Retardation

Time for Retardation

Go Time for Retardation = Crest Speed/Retardation of Train

Gradient of Train for Proper Movement of Traffic

Go Gradient = sin(Angle D)*100

Accelerating Weight of Train

Go Accelerating Weight of Train = Weight of Train*1.10

< 15 Electric Train Physics Calculators

Torque of Squirrel Cage Induction Motor

Go Torque = (Constant*Voltage^2*Rotor Resistance)/((Stator Resistance+Rotor Resistance)^2+(Stator Reactance+Rotor Reactance)^2)

Torque Generated by Scherbius Drive

Go Torque = 1.35*((Back Emf*AC Line Voltage*Rectified Rotor Current*RMS Value of Rotor Side Line Voltage)/(Back Emf*Angular Frequency))

Wheel Force Function

Go Wheel Force Function = (Gear Ratio of Transmission*Gear Ratio of Final Drive*Engine Torque)/(2*Radius of Wheel)

Rotating Speed of Driven Wheel

Go Rotating Speed of Driven Wheels = (Speed of Motor Shaft in Powerplant)/(Gear Ratio of Transmission*Gear Ratio of Final Drive)

Aerodynamic Drag Force

Go Drag Force = Drag Coefficient*((Mass Density*Flow Velocity^2)/2)*Reference Area

Schedule Speed

Go Schedule Speed = Distance Travelled by Train/(Running Time of Train+Stop Time of Train)

Energy Consumption for Run

Go Energy Consumption for Run = 0.5*Tractive Effort*Crest Speed*Time for Acceleration

Crest Speed given Time for Acceleration

Go Crest Speed = Time for Acceleration*Acceleration of Train

Maximum Power Output from Driving Axle

Go Maximum Output Power = (Tractive Effort*Crest Speed)/3600

Coefficient of Adhesion

Go Coefficient of Adhesion = Tractive Effort/Weight of Train

Time for Acceleration

Go Time for Acceleration = Crest Speed/Acceleration of Train

Schedule Time

Go Schedule Time = Running Time of Train+Stop Time of Train

Retardation of Train

Go Retardation of Train = Crest Speed/Time for Retardation

Time for Retardation

Go Time for Retardation = Crest Speed/Retardation of Train

Accelerating Weight of Train

Go Accelerating Weight of Train = Weight of Train*1.10

Wheel Force Function Formula

Wheel Force Function = (Gear Ratio of Transmission*Gear Ratio of Final Drive*Engine Torque)/(2*Radius of Wheel)
F_w = (i*i_o*τ_e)/(2*r_w)

On what parameters torque available at wheel of any automobile is dependent on?

The torque available at wheel of any automobile is dependent on 2 parameters namely:
1.Engine torque
2.Gear ratio
The engine torque may be obtained from engine manufacturer. But you are less likely to get a full torque curve. But you will most likely have max torque at a certain engine speed (since they put it in vehicle specs).
For gear ratio, it is ratio of engine rotation to corresponding wheel rotations.

How to Calculate Wheel Force Function?

Wheel Force Function calculator uses Wheel Force Function = (Gear Ratio of Transmission*Gear Ratio of Final Drive*Engine Torque)/(2*Radius of Wheel) to calculate the Wheel Force Function, The Wheel Force Function is defined as the the total force generated by each wheel on a drivetrain due to its rotation and friction between the traction line. Wheel Force Function is denoted by F_w symbol.

How to calculate Wheel Force Function using this online calculator? To use this online calculator for Wheel Force Function, enter Gear Ratio of Transmission (i), Gear Ratio of Final Drive (i_o), Engine Torque (τ_e) & Radius of Wheel (r_w) and hit the calculate button. Here is how the Wheel Force Function calculation can be explained with given input values -> 5.396825 = (2.55*2*4)/(2*1.89).

FAQ

What is Wheel Force Function?

The Wheel Force Function is defined as the the total force generated by each wheel on a drivetrain due to its rotation and friction between the traction line and is represented as F_w = (i*i_o*τ_e)/(2*r_w) or Wheel Force Function = (Gear Ratio of Transmission*Gear Ratio of Final Drive*Engine Torque)/(2*Radius of Wheel). Gear ratio of transmission is the ratio between the revolutions of the engine crankshaft and the revolutions of the shaft which comes out of the gearbox, Gear ratio of final drive is the ratio between the revolutions of the gearbox shaft and the revolutions of the wheels, Engine Torque is defined as the torque generated by the motor of a vehicle & The Radius of Wheel is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

How to calculate Wheel Force Function?

The Wheel Force Function is defined as the the total force generated by each wheel on a drivetrain due to its rotation and friction between the traction line is calculated using Wheel Force Function = (Gear Ratio of Transmission*Gear Ratio of Final Drive*Engine Torque)/(2*Radius of Wheel). To calculate Wheel Force Function, you need Gear Ratio of Transmission (i), Gear Ratio of Final Drive (i_o), Engine Torque (τ_e) & Radius of Wheel (r_w). With our tool, you need to enter the respective value for Gear Ratio of Transmission, Gear Ratio of Final Drive, Engine Torque & Radius of Wheel 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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