Wheel Track given Turning Radius of Inner Front Wheel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Track Width of Vehicle = 2*(Wheelbase of Vehicle/sin(Angle of Inside Wheel Lock)-Turning Radius of Inner Front Wheel)+Distance between Front Wheel Pivot Center
atw = 2*(b/sin(θ)-Rif)+c
This formula uses 1 Functions, 5 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Track Width of Vehicle - (Measured in Meter) - Track Width of Vehicle is the distance between the center line of each of the two wheels on the same axle (front/rear axle).
Wheelbase of Vehicle - (Measured in Meter) - Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.
Angle of Inside Wheel Lock - (Measured in Radian) - Angle of Inside Wheel Lock is the angle through which inner wheel of vehicle steers while cornering.
Turning Radius of Inner Front Wheel - (Measured in Meter) - Turning Radius of Inner Front Wheel is the radius of the circle traced by the inner front wheel while cornering.
Distance between Front Wheel Pivot Center - (Measured in Meter) - Distance between Front Wheel Pivot Center is the distance between those points about which both front wheels pivot while cornering.
STEP 1: Convert Input(s) to Base Unit
Wheelbase of Vehicle: 2700 Millimeter --> 2.7 Meter (Check conversion ​here)
Angle of Inside Wheel Lock: 40 Degree --> 0.698131700797601 Radian (Check conversion ​here)
Turning Radius of Inner Front Wheel: 3851 Millimeter --> 3.851 Meter (Check conversion ​here)
Distance between Front Wheel Pivot Center: 1300 Millimeter --> 1.3 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
atw = 2*(b/sin(θ)-Rif)+c --> 2*(2.7/sin(0.698131700797601)-3.851)+1.3
Evaluating ... ...
atw = 1.99890866504754
STEP 3: Convert Result to Output's Unit
1.99890866504754 Meter -->1998.90866504754 Millimeter (Check conversion ​here)
FINAL ANSWER
1998.90866504754 1998.909 Millimeter <-- Track Width of Vehicle
(Calculation completed in 00.020 seconds)

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AISSMS College of Engineering, Pune (AISSMSCOE, Pune), Pune
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National Institute Of Technology (NIT), Hamirpur
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Turning Dynamics Calculators

Pivot Centre given Turning Radius of Outer Front Wheel
​ LaTeX ​ Go Distance between Front Wheel Pivot Center = Track Width of Vehicle-2*(-Wheelbase of Vehicle/sin(Angle of Outside Wheel Lock)+Turning Radius of Outer Front Wheel)
Pivot Centre given Turning Radius of Outer Rear Wheel
​ LaTeX ​ Go Distance between Front Wheel Pivot Center = Track Width of Vehicle-2*(-Wheelbase of Vehicle/tan(Angle of Outside Wheel Lock)+Turning Radius of Outer Rear Wheel)
Pivot Centre given Turning Radius of Inner Front Wheel
​ LaTeX ​ Go Distance between Front Wheel Pivot Center = Track Width of Vehicle-2*(Wheelbase of Vehicle/sin(Angle of Inside Wheel Lock)-Turning Radius of Inner Front Wheel)
Pivot Centre given Turning Radius of Inner Rear Wheel
​ LaTeX ​ Go Distance between Front Wheel Pivot Center = Track Width of Vehicle-2*(Wheelbase of Vehicle/tan(Angle of Inside Wheel Lock)-Turning Radius of Inner Rear Wheel)

Wheel Track given Turning Radius of Inner Front Wheel Formula

​LaTeX ​Go
Track Width of Vehicle = 2*(Wheelbase of Vehicle/sin(Angle of Inside Wheel Lock)-Turning Radius of Inner Front Wheel)+Distance between Front Wheel Pivot Center
atw = 2*(b/sin(θ)-Rif)+c

What is Track width of vehicle?

Track width of vehicle is the distance between the center line of each of the two wheels on the same axle (front/rear axle).

How to Calculate Wheel Track given Turning Radius of Inner Front Wheel?

Wheel Track given Turning Radius of Inner Front Wheel calculator uses Track Width of Vehicle = 2*(Wheelbase of Vehicle/sin(Angle of Inside Wheel Lock)-Turning Radius of Inner Front Wheel)+Distance between Front Wheel Pivot Center to calculate the Track Width of Vehicle, The Wheel Track given Turning Radius of Inner Front Wheel is the distance between the center line of each of the two wheels on the same axle (front/rear axle). Track Width of Vehicle is denoted by atw symbol.

How to calculate Wheel Track given Turning Radius of Inner Front Wheel using this online calculator? To use this online calculator for Wheel Track given Turning Radius of Inner Front Wheel, enter Wheelbase of Vehicle (b), Angle of Inside Wheel Lock (θ), Turning Radius of Inner Front Wheel (Rif) & Distance between Front Wheel Pivot Center (c) and hit the calculate button. Here is how the Wheel Track given Turning Radius of Inner Front Wheel calculation can be explained with given input values -> 1.8E+6 = 2*(2.7/sin(0.698131700797601)-3.851)+1.3.

FAQ

What is Wheel Track given Turning Radius of Inner Front Wheel?
The Wheel Track given Turning Radius of Inner Front Wheel is the distance between the center line of each of the two wheels on the same axle (front/rear axle) and is represented as atw = 2*(b/sin(θ)-Rif)+c or Track Width of Vehicle = 2*(Wheelbase of Vehicle/sin(Angle of Inside Wheel Lock)-Turning Radius of Inner Front Wheel)+Distance between Front Wheel Pivot Center. Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle, Angle of Inside Wheel Lock is the angle through which inner wheel of vehicle steers while cornering, Turning Radius of Inner Front Wheel is the radius of the circle traced by the inner front wheel while cornering & Distance between Front Wheel Pivot Center is the distance between those points about which both front wheels pivot while cornering.
How to calculate Wheel Track given Turning Radius of Inner Front Wheel?
The Wheel Track given Turning Radius of Inner Front Wheel is the distance between the center line of each of the two wheels on the same axle (front/rear axle) is calculated using Track Width of Vehicle = 2*(Wheelbase of Vehicle/sin(Angle of Inside Wheel Lock)-Turning Radius of Inner Front Wheel)+Distance between Front Wheel Pivot Center. To calculate Wheel Track given Turning Radius of Inner Front Wheel, you need Wheelbase of Vehicle (b), Angle of Inside Wheel Lock (θ), Turning Radius of Inner Front Wheel (Rif) & Distance between Front Wheel Pivot Center (c). With our tool, you need to enter the respective value for Wheelbase of Vehicle, Angle of Inside Wheel Lock, Turning Radius of Inner Front Wheel & Distance between Front Wheel Pivot Center and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Track Width of Vehicle?
In this formula, Track Width of Vehicle uses Wheelbase of Vehicle, Angle of Inside Wheel Lock, Turning Radius of Inner Front Wheel & Distance between Front Wheel Pivot Center. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Track Width of Vehicle = 2*(Wheelbase of Vehicle/tan(Angle of Inside Wheel Lock)-Turning Radius of Inner Rear Wheel)+Distance between Front Wheel Pivot Center
  • Track Width of Vehicle = 2*(-Wheelbase of Vehicle/sin(Angle of Outside Wheel Lock)+Turning Radius of Outer Front Wheel)+Distance between Front Wheel Pivot Center
  • Track Width of Vehicle = 2*(-Wheelbase of Vehicle/tan(Angle of Outside Wheel Lock)+Turning Radius of Outer Rear Wheel)+Distance between Front Wheel Pivot Center
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