Wheel Base given Turning Radius of Inner Rear Wheel Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
b = (RIR+(atw-c)/2)*tan(θ)
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
Wheelbase of Vehicle - (Measured in Meter) - Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.
Turning Radius of Inner Rear Wheel - (Measured in Meter) - Turning Radius of Inner Rear Wheel while cornering is the radius of circle traced by inner rear wheel 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).
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.
Angle of Inside Wheel Lock - (Measured in Radian) - Angle of Inside Wheel Lock is the angle through which inner wheel of vehicle steers while cornering.
STEP 1: Convert Input(s) to Base Unit
Turning Radius of Inner Rear Wheel: 2900 Millimeter --> 2.9 Meter (Check conversion here)
Track Width of Vehicle: 1999 Millimeter --> 1.999 Meter (Check conversion here)
Distance between Front Wheel Pivot Center: 1300 Millimeter --> 1.3 Meter (Check conversion here)
Angle of Inside Wheel Lock: 40 Degree --> 0.698131700797601 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = (RIR+(atw-c)/2)*tan(θ) --> (2.9+(1.999-1.3)/2)*tan(0.698131700797601)
Evaluating ... ...
b = 2.72665425150985
STEP 3: Convert Result to Output's Unit
2.72665425150985 Meter -->2726.65425150985 Millimeter (Check conversion here)
FINAL ANSWER
2726.65425150985 2726.654 Millimeter <-- Wheelbase of Vehicle
(Calculation completed in 00.004 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

Wheel Base given Turning Radius of Inner Rear Wheel Formula

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)
b = (RIR+(atw-c)/2)*tan(θ)

What is Wheelbase of vehicle and how does it affects turning radius of car?

Wheelbase of vehicle is the center distance between the front and the rear axle of the vehicle. As wheelbase increases, turning radius also increases.

How to Calculate Wheel Base given Turning Radius of Inner Rear Wheel?

Wheel Base given Turning Radius of Inner Rear Wheel calculator uses 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) to calculate the Wheelbase of Vehicle, The Wheel Base given Turning Radius of Inner 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 calculate Wheel Base given Turning Radius of Inner Rear Wheel using this online calculator? To use this online calculator for Wheel Base given Turning Radius of Inner Rear Wheel, enter Turning Radius of Inner Rear Wheel (RIR), Track Width of Vehicle (atw), Distance between Front Wheel Pivot Center (c) & Angle of Inside Wheel Lock (θ) and hit the calculate button. Here is how the Wheel Base given Turning Radius of Inner Rear Wheel calculation can be explained with given input values -> 2.4E+6 = (2.9+(1.999-1.3)/2)*tan(0.698131700797601).

FAQ

What is Wheel Base given Turning Radius of Inner Rear Wheel?
The Wheel Base given Turning Radius of Inner Rear Wheel is the center distance between the front and the rear axle of the vehicle and is represented as b = (RIR+(atw-c)/2)*tan(θ) or 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). Turning Radius of Inner Rear Wheel while cornering is the radius of circle traced by inner rear wheel while cornering, Track Width of Vehicle is the distance between the center line of each of the two wheels on the same axle (front/rear axle), Distance between Front Wheel Pivot Center is the distance between those points about which both front wheels pivot while cornering & Angle of Inside Wheel Lock is the angle through which inner wheel of vehicle steers while cornering.
How to calculate Wheel Base given Turning Radius of Inner Rear Wheel?
The Wheel Base given Turning Radius of Inner Rear Wheel is the center distance between the front and the rear axle of the vehicle is calculated using 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). To calculate Wheel Base given Turning Radius of Inner Rear Wheel, you need Turning Radius of Inner Rear Wheel (RIR), Track Width of Vehicle (atw), Distance between Front Wheel Pivot Center (c) & Angle of Inside Wheel Lock (θ). With our tool, you need to enter the respective value for Turning Radius of Inner Rear Wheel, Track Width of Vehicle, Distance between Front Wheel Pivot Center & Angle of Inside Wheel Lock 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 Wheelbase of Vehicle?
In this formula, Wheelbase of Vehicle uses Turning Radius of Inner Rear Wheel, Track Width of Vehicle, Distance between Front Wheel Pivot Center & Angle of Inside Wheel Lock. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • 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)
  • 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)
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