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Distance between Front Wheel Pivot Center is the distance between those points about which both front wheels pivot while cornering. Check FAQs
c=atw-2(btan(θ)-Rir)
c - Distance between Front Wheel Pivot Center?atw - Track Width of Vehicle?b - Wheelbase of Vehicle?θ - Angle of Inside Wheel Lock?Rir - Turning Radius of Inner Rear Wheel?

Pivot Centre given Turning Radius of Inner Rear Wheel Example

With values
With units
Only example

Here is how the Pivot Centre given Turning Radius of Inner Rear Wheel equation looks like with Values.

Here is how the Pivot Centre given Turning Radius of Inner Rear Wheel equation looks like with Units.

Here is how the Pivot Centre given Turning Radius of Inner Rear Wheel equation looks like.

1363.5306Edit=1999Edit-2(2700Edittan(40Edit)-2900Edit)
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Pivot Centre given Turning Radius of Inner Rear Wheel Solution

Follow our step by step solution on how to calculate Pivot Centre given Turning Radius of Inner Rear Wheel?

FIRST Step Consider the formula
c=atw-2(btan(θ)-Rir)
Next Step Substitute values of Variables
c=1999mm-2(2700mmtan(40°)-2900mm)
Next Step Convert Units
c=1.999m-2(2.7mtan(0.6981rad)-2.9m)
Next Step Prepare to Evaluate
c=1.999-2(2.7tan(0.6981)-2.9)
Next Step Evaluate
c=1.36353059998956m
Next Step Convert to Output's Unit
c=1363.53059998956mm
LAST Step Rounding Answer
c=1363.5306mm

Pivot Centre given Turning Radius of Inner Rear Wheel Formula Elements

Variables
Functions
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.
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.
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.
Angle of Inside Wheel Lock
Angle of Inside Wheel Lock is the angle through which inner wheel of vehicle steers while cornering.
Symbol: θ
Measurement: AngleUnit: °
Note: Value should be between 0 to 90.
Turning Radius of Inner Rear Wheel
Turning Radius of Inner Rear Wheel while cornering is the radius of circle traced by inner rear wheel while cornering.
Symbol: Rir
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
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 Distance between Front Wheel Pivot Center

​Go Pivot Centre given Turning Radius of Inner Front Wheel
c=atw-2(bsin(θ)-Rif)
​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)

Other formulas in Turning Dynamics category

​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)
​Go Wheel Base given Turning Radius of Outer Rear Wheel
b=(Ror-atw-c2)tan(φ)

How to Evaluate Pivot Centre given Turning Radius of Inner Rear Wheel?

Pivot Centre given Turning Radius of Inner Rear Wheel evaluator uses 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) to evaluate the Distance between Front Wheel Pivot Center, The Pivot Centre given Turning Radius of Inner Rear Wheel is the distance between those points about which both front wheels pivot while cornering. Distance between Front Wheel Pivot Center is denoted by c symbol.

How to evaluate Pivot Centre given Turning Radius of Inner Rear Wheel using this online evaluator? To use this online evaluator for Pivot Centre given Turning Radius of Inner Rear Wheel, enter Track Width of Vehicle (atw), Wheelbase of Vehicle (b), Angle of Inside Wheel Lock (θ) & Turning Radius of Inner Rear Wheel (Rir) and hit the calculate button.

FAQs on Pivot Centre given Turning Radius of Inner Rear Wheel

What is the formula to find Pivot Centre given Turning Radius of Inner Rear Wheel?
The formula of Pivot Centre given Turning Radius of Inner Rear Wheel is expressed as 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). Here is an example- 1.4E+6 = 1.999-2*(2.7/tan(0.698131700797601)-2.9).
How to calculate Pivot Centre given Turning Radius of Inner Rear Wheel?
With Track Width of Vehicle (atw), Wheelbase of Vehicle (b), Angle of Inside Wheel Lock (θ) & Turning Radius of Inner Rear Wheel (Rir) we can find Pivot Centre given Turning Radius of Inner Rear Wheel using the formula - 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). This formula also uses Tangent (tan) function(s).
What are the other ways to Calculate Distance between Front Wheel Pivot Center?
Here are the different ways to Calculate Distance between Front Wheel Pivot Center-
  • 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)OpenImg
  • 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)OpenImg
  • 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)OpenImg
Can the Pivot Centre given Turning Radius of Inner Rear Wheel be negative?
Yes, the Pivot Centre given Turning Radius of Inner Rear Wheel, measured in Length can be negative.
Which unit is used to measure Pivot Centre given Turning Radius of Inner Rear Wheel?
Pivot Centre given Turning Radius of Inner Rear Wheel is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Pivot Centre given Turning Radius of Inner Rear Wheel can be measured.
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