Pivot Centre given Turning Radius of Outer Front Wheel Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
c = atw-2*(-b/sin(φ)+Rof)
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
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.
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 Front Wheel - (Measured in Meter) - Turning Radius of Outer Front Wheel while cornering is the radius of circle traced by outer front wheel while cornering.
STEP 1: Convert Input(s) to Base Unit
Track Width of Vehicle: 1999 Millimeter --> 1.999 Meter (Check conversion ​here)
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 Front Wheel: 5110 Millimeter --> 5.11 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
c = atw-2*(-b/sin(φ)+Rof) --> 1.999-2*(-2.7/sin(0.5235987755982)+5.11)
Evaluating ... ...
c = 2.579
STEP 3: Convert Result to Output's Unit
2.579 Meter -->2579 Millimeter (Check conversion ​here)
FINAL ANSWER
2579 Millimeter <-- Distance between Front Wheel Pivot Center
(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)

Pivot Centre given Turning Radius of Outer Front Wheel Formula

​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)
c = atw-2*(-b/sin(φ)+Rof)

What is 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.

How to Calculate Pivot Centre given Turning Radius of Outer Front Wheel?

Pivot Centre given Turning Radius of Outer Front Wheel calculator uses 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) to calculate the Distance between Front Wheel Pivot Center, The Pivot Centre given Turning Radius of Outer Front 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 calculate Pivot Centre given Turning Radius of Outer Front Wheel using this online calculator? To use this online calculator for Pivot Centre given Turning Radius of Outer Front Wheel, enter Track Width of Vehicle (atw), Wheelbase of Vehicle (b), Angle of Outside Wheel Lock (φ) & Turning Radius of Outer Front Wheel (Rof) and hit the calculate button. Here is how the Pivot Centre given Turning Radius of Outer Front Wheel calculation can be explained with given input values -> 1.3E+6 = 1.999-2*(-2.7/sin(0.5235987755982)+5.11).

FAQ

What is Pivot Centre given Turning Radius of Outer Front Wheel?
The Pivot Centre given Turning Radius of Outer Front Wheel is the distance between those points about which both front wheels pivot while cornering and is represented as c = atw-2*(-b/sin(φ)+Rof) or 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). 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 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 Front Wheel while cornering is the radius of circle traced by outer front wheel while cornering.
How to calculate Pivot Centre given Turning Radius of Outer Front Wheel?
The Pivot Centre given Turning Radius of Outer Front Wheel is the distance between those points about which both front wheels pivot while cornering is calculated using 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). To calculate Pivot Centre given Turning Radius of Outer Front Wheel, you need Track Width of Vehicle (atw), Wheelbase of Vehicle (b), Angle of Outside Wheel Lock (φ) & Turning Radius of Outer Front Wheel (Rof). With our tool, you need to enter the respective value for Track Width of Vehicle, Wheelbase of Vehicle, Angle of Outside Wheel Lock & Turning Radius of Outer Front Wheel 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 Distance between Front Wheel Pivot Center?
In this formula, Distance between Front Wheel Pivot Center uses Track Width of Vehicle, Wheelbase of Vehicle, Angle of Outside Wheel Lock & Turning Radius of Outer Front Wheel. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • 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/tan(Angle of Outside Wheel Lock)+Turning Radius of Outer Rear Wheel)
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