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)
Fw = (i*io*τe)/(2*rw)
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
Fw = (i*ioe)/(2*rw) --> (2.55*2*4)/(2*1.89)
Evaluating ... ...
Fw = 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 00.007 seconds)

Credits

Creator Image
Indian Institute of Technology (IIT (ISM) ), Dhanbad, Jharkhand
Aditya Prakash Gautam has created this Calculator and 25+ more calculators!
Verifier Image
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!

Mechanics of Train Movement Calculators

Schedule Speed
​ LaTeX ​ Go Schedule Speed = Distance Travelled by Train/(Running Time of Train+Stop Time of Train)
Crest Speed given Time for Acceleration
​ LaTeX ​ Go Crest Speed = Time for Acceleration*Acceleration of Train
Coefficient of Adhesion
​ LaTeX ​ Go Coefficient of Adhesion = Tractive Effort/Weight of Train
Accelerating Weight of Train
​ LaTeX ​ Go Accelerating Weight of Train = Weight of Train*1.10

Electric Train Physics Calculators

Torque of Squirrel Cage Induction Motor
​ LaTeX ​ Go Torque = (Constant*Voltage^2*Rotor Resistance)/((Stator Resistance+Rotor Resistance)^2+(Stator Reactance+Rotor Reactance)^2)
Torque Generated by Scherbius Drive
​ LaTeX ​ Go Torque = 1.35*((Back Emf*AC Line Voltage*Rectified Rotor Current*RMS Value of Rotor Side Line Voltage)/(Back Emf*Angular Frequency))
Aerodynamic Drag Force
​ LaTeX ​ Go Drag Force = Drag Coefficient*((Mass Density*Flow Velocity^2)/2)*Reference Area
Accelerating Weight of Train
​ LaTeX ​ Go Accelerating Weight of Train = Weight of Train*1.10

Wheel Force Function Formula

​LaTeX ​Go
Wheel Force Function = (Gear Ratio of Transmission*Gear Ratio of Final Drive*Engine Torque)/(2*Radius of Wheel)
Fw = (i*io*τe)/(2*rw)

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 total force generated by each wheel on a drive train due to its rotation and friction between the traction line. Wheel Force Function is denoted by Fw 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 (io), Engine Torque e) & Radius of Wheel (rw) 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 total force generated by each wheel on a drive train due to its rotation and friction between the traction line and is represented as Fw = (i*ioe)/(2*rw) 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 total force generated by each wheel on a drive train 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 (io), Engine Torque e) & Radius of Wheel (rw). 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!