Pivot Centre given Turning Radius of Outer Rear Wheel Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
c = atw-2*(-b/tan(φ)+ROR)
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
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 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.
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 Rear Wheel: 5000 Millimeter --> 5 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
c = atw-2*(-b/tan(φ)+ROR) --> 1.999-2*(-2.7/tan(0.5235987755982)+5)
Evaluating ... ...
c = 1.35207436087194
STEP 3: Convert Result to Output's Unit
1.35207436087194 Meter -->1352.07436087194 Millimeter (Check conversion here)
FINAL ANSWER
1352.07436087194 1352.074 Millimeter <-- Distance between Front Wheel Pivot Center
(Calculation completed in 00.020 seconds)

Credits

Created by Vivek Gaikwad
AISSMS College of Engineering, Pune (AISSMSCOE, Pune), Pune
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12 Pivot Centre, Wheel Base and Track Calculators

Wheel Base given Turning Radius of Outer Front Wheel
Go 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)
Pivot Centre given Turning Radius of Outer Front Wheel
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)
Wheel Track given Turning Radius of Outer Front Wheel
Go 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
Wheel Base given Turning Radius of Inner Front Wheel
Go 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)
Wheel Base given Turning Radius of Outer Rear Wheel
Go 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)
Pivot Centre given Turning Radius of Outer Rear Wheel
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)
Wheel Track given Turning Radius of Outer Rear Wheel
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
Wheel Base given Turning Radius of Inner Rear Wheel
Go 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)
Pivot Centre given Turning Radius of Inner Front Wheel
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)
Wheel Track given Turning Radius of Inner Front Wheel
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
Pivot Centre given Turning Radius of Inner Rear Wheel
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 Rear Wheel
Go 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

Pivot Centre given Turning Radius of Outer Rear Wheel Formula

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)
c = atw-2*(-b/tan(φ)+ROR)

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 Rear Wheel?

Pivot Centre given Turning Radius of Outer Rear Wheel calculator uses 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) to calculate the Distance between Front Wheel Pivot Center, The Pivot Centre given Turning Radius of Outer 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 calculate Pivot Centre given Turning Radius of Outer Rear Wheel using this online calculator? To use this online calculator for Pivot Centre given Turning Radius of Outer Rear Wheel, enter Track Width of Vehicle (atw), Wheelbase of Vehicle (b), Angle of Outside Wheel Lock (φ) & Turning Radius of Outer Rear Wheel (ROR) and hit the calculate button. Here is how the Pivot Centre given Turning Radius of Outer Rear Wheel calculation can be explained with given input values -> 553074.4 = 1.999-2*(-2.7/tan(0.5235987755982)+5).

FAQ

What is Pivot Centre given Turning Radius of Outer Rear Wheel?
The Pivot Centre given Turning Radius of Outer Rear Wheel is the distance between those points about which both front wheels pivot while cornering and is represented as c = atw-2*(-b/tan(φ)+ROR) or 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). 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 Rear Wheel while cornering is the radius of circle traced by outer rear wheel while cornering.
How to calculate Pivot Centre given Turning Radius of Outer Rear Wheel?
The Pivot Centre given Turning Radius of Outer Rear 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/tan(Angle of Outside Wheel Lock)+Turning Radius of Outer Rear Wheel). To calculate Pivot Centre given Turning Radius of Outer Rear Wheel, you need Track Width of Vehicle (atw), Wheelbase of Vehicle (b), Angle of Outside Wheel Lock (φ) & Turning Radius of Outer Rear Wheel (ROR). 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 Rear 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 Rear 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/sin(Angle of Outside Wheel Lock)+Turning Radius of Outer Front Wheel)
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