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Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle. Check FAQs
b=(Ror-atw-c2)tan(φ)
b - Wheelbase of Vehicle?Ror - Turning Radius of Outer Rear Wheel?atw - Track Width of Vehicle?c - Distance between Front Wheel Pivot Center?φ - Angle of Outside Wheel Lock?

Wheel Base given Turning Radius of Outer Rear Wheel Example

With values
With units
Only example

Here is how the Wheel Base given Turning Radius of Outer Rear Wheel equation looks like with Values.

Here is how the Wheel Base given Turning Radius of Outer Rear Wheel equation looks like with Units.

Here is how the Wheel Base given Turning Radius of Outer Rear Wheel equation looks like.

2684.9674Edit=(5000Edit-1999Edit-1300Edit2)tan(30Edit)
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Wheel Base given Turning Radius of Outer Rear Wheel Solution

Follow our step by step solution on how to calculate Wheel Base given Turning Radius of Outer Rear Wheel?

FIRST Step Consider the formula
b=(Ror-atw-c2)tan(φ)
Next Step Substitute values of Variables
b=(5000mm-1999mm-1300mm2)tan(30°)
Next Step Convert Units
b=(5m-1.999m-1.3m2)tan(0.5236rad)
Next Step Prepare to Evaluate
b=(5-1.999-1.32)tan(0.5236)
Next Step Evaluate
b=2.68496742686635m
Next Step Convert to Output's Unit
b=2684.96742686635mm
LAST Step Rounding Answer
b=2684.9674mm

Wheel Base given Turning Radius of Outer Rear Wheel Formula Elements

Variables
Functions
Wheelbase of Vehicle
Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.
Symbol: b
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Turning Radius of Outer Rear Wheel
Turning Radius of Outer Rear Wheel while cornering is the radius of circle traced by outer rear wheel while cornering.
Symbol: Ror
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
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).
Symbol: atw
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Distance between Front Wheel Pivot Center
Distance between Front Wheel Pivot Center is the distance between those points about which both front wheels pivot while cornering.
Symbol: c
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Angle of Outside Wheel Lock
Angle of Outside Wheel Lock is the angle through which outer wheel of vehicle steers while cornering.
Symbol: φ
Measurement: AngleUnit: °
Note: Value should be between 0 to 90.
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.
Syntax: tan(Angle)

Other Formulas to find Wheelbase of Vehicle

​Go Wheel Base given Turning Radius of Inner Front Wheel
b=(Rif+atw-c2)sin(θ)
​Go Wheel Base given Turning Radius of Inner Rear Wheel
b=(Rir+atw-c2)tan(θ)
​Go Wheel Base given Turning Radius of Outer Front Wheel
b=(Rof-atw-c2)sin(φ)

Other formulas in Turning Dynamics category

​Go Pivot Centre given Turning Radius of Inner Front Wheel
c=atw-2(bsin(θ)-Rif)
​Go Pivot Centre given Turning Radius of Inner Rear Wheel
c=atw-2(btan(θ)-Rir)
​Go Pivot Centre given Turning Radius of Outer Front Wheel
c=atw-2(-bsin(φ)+Rof)
​Go Pivot Centre given Turning Radius of Outer Rear Wheel
c=atw-2(-btan(φ)+Ror)

How to Evaluate Wheel Base given Turning Radius of Outer Rear Wheel?

Wheel Base given Turning Radius of Outer Rear Wheel evaluator uses Wheelbase of Vehicle = (Turning Radius of Outer Rear Wheel-(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)*tan(Angle of Outside Wheel Lock) to evaluate the Wheelbase of Vehicle, The Wheel Base given Turning Radius of Outer Rear Wheel is the center distance between the front and the rear axle of the vehicle. Wheelbase of Vehicle is denoted by b symbol.

How to evaluate Wheel Base given Turning Radius of Outer Rear Wheel using this online evaluator? To use this online evaluator for Wheel Base given Turning Radius of Outer Rear Wheel, enter Turning Radius of Outer Rear Wheel (Ror), Track Width of Vehicle (atw), Distance between Front Wheel Pivot Center (c) & Angle of Outside Wheel Lock (φ) and hit the calculate button.

FAQs on Wheel Base given Turning Radius of Outer Rear Wheel

What is the formula to find Wheel Base given Turning Radius of Outer Rear Wheel?
The formula of Wheel Base given Turning Radius of Outer Rear Wheel is expressed as Wheelbase of Vehicle = (Turning Radius of Outer Rear Wheel-(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)*tan(Angle of Outside Wheel Lock). Here is an example- 3.2E+6 = (5-(1.999-1.3)/2)*tan(0.5235987755982).
How to calculate Wheel Base given Turning Radius of Outer Rear Wheel?
With Turning Radius of Outer Rear Wheel (Ror), Track Width of Vehicle (atw), Distance between Front Wheel Pivot Center (c) & Angle of Outside Wheel Lock (φ) we can find Wheel Base given Turning Radius of Outer Rear Wheel using the formula - Wheelbase of Vehicle = (Turning Radius of Outer Rear Wheel-(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)*tan(Angle of Outside Wheel Lock). This formula also uses Tangent function(s).
What are the other ways to Calculate Wheelbase of Vehicle?
Here are the different ways to Calculate Wheelbase of Vehicle-
  • Wheelbase of Vehicle=(Turning Radius of Inner Front Wheel+(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)*sin(Angle of Inside Wheel Lock)OpenImg
  • Wheelbase of Vehicle=(Turning Radius of Inner Rear Wheel+(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)*tan(Angle of Inside Wheel Lock)OpenImg
  • Wheelbase of Vehicle=(Turning Radius of Outer Front Wheel-(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)*sin(Angle of Outside Wheel Lock)OpenImg
Can the Wheel Base given Turning Radius of Outer Rear Wheel be negative?
No, the Wheel Base given Turning Radius of Outer Rear Wheel, measured in Length cannot be negative.
Which unit is used to measure Wheel Base given Turning Radius of Outer Rear Wheel?
Wheel Base given Turning Radius of Outer Rear Wheel is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Wheel Base given Turning Radius of Outer Rear Wheel can be measured.
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