Wheel Track given Turning Radius of Outer Rear Wheel Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
atw = 2*(-b/tan(φ)+Ror)+c
This formula uses 1 Functions, 5 Variables
Functions Used
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(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 Outside Wheel Lock - (Measured in Radian) - Angle of Outside Wheel Lock is the angle through which outer wheel of vehicle steers while cornering.
Turning Radius of Outer Rear Wheel - (Measured in Meter) - Turning Radius of Outer Rear Wheel while cornering is the radius of circle traced by outer rear 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 Outside Wheel Lock: 30 Degree --> 0.5235987755982 Radian (Check conversion ​here)
Turning Radius of Outer Rear Wheel: 5000 Millimeter --> 5 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/tan(φ)+Ror)+c --> 2*(-2.7/tan(0.5235987755982)+5)+1.3
Evaluating ... ...
atw = 1.94692563912806
STEP 3: Convert Result to Output's Unit
1.94692563912806 Meter -->1946.92563912806 Millimeter (Check conversion ​here)
FINAL ANSWER
1946.92563912806 1946.926 Millimeter <-- Track Width of Vehicle
(Calculation completed in 00.004 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 Outer Rear Wheel Formula

​LaTeX ​Go
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
atw = 2*(-b/tan(φ)+Ror)+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 Outer Rear Wheel?

Wheel Track given Turning Radius of Outer Rear Wheel calculator uses 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 to calculate the Track Width of Vehicle, The Wheel Track given Turning Radius of Outer Rear 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 Outer Rear Wheel using this online calculator? To use this online calculator for Wheel Track given Turning Radius of Outer Rear Wheel, enter Wheelbase of Vehicle (b), Angle of Outside Wheel Lock (φ), Turning Radius of Outer Rear Wheel (Ror) & Distance between Front Wheel Pivot Center (c) and hit the calculate button. Here is how the Wheel Track given Turning Radius of Outer Rear Wheel calculation can be explained with given input values -> 3.5E+6 = 2*(-2.7/tan(0.5235987755982)+5)+1.3.

FAQ

What is Wheel Track given Turning Radius of Outer Rear Wheel?
The Wheel Track given Turning Radius of Outer Rear 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/tan(φ)+Ror)+c or 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. Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle, Angle of Outside Wheel Lock is the angle through which outer wheel of vehicle steers while cornering, Turning Radius of Outer Rear Wheel while cornering is the radius of circle traced by outer rear 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 Outer Rear Wheel?
The Wheel Track given Turning Radius of Outer Rear 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/tan(Angle of Outside Wheel Lock)+Turning Radius of Outer Rear Wheel)+Distance between Front Wheel Pivot Center. To calculate Wheel Track given Turning Radius of Outer Rear Wheel, you need Wheelbase of Vehicle (b), Angle of Outside Wheel Lock (φ), Turning Radius of Outer Rear Wheel (Ror) & Distance between Front Wheel Pivot Center (c). With our tool, you need to enter the respective value for Wheelbase of Vehicle, Angle of Outside Wheel Lock, Turning Radius of Outer Rear 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 Outside Wheel Lock, Turning Radius of Outer Rear 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/sin(Angle of Inside Wheel Lock)-Turning Radius of Inner Front Wheel)+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)+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
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