Turning radius of front inner wheel while cornering Solution

STEP 0: Pre-Calculation Summary
Formula Used
Turning Radius of Inner Front Wheel = (Wheelbase of Vehicle/sin(Angle of Inside Wheel Lock))-((Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)
RIF = (b/sin(θ))-((atw-c)/2)
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
Turning Radius of Inner Front Wheel - (Measured in Meter) - The Turning Radius of Inner Front Wheel is the radius of the circle traced by the inner front wheel while cornering.
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 Inside Wheel Lock - (Measured in Radian) - Angle of Inside Wheel Lock is the angle through which inner wheel of vehicle steers 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.
STEP 1: Convert Input(s) to Base Unit
Wheelbase of Vehicle: 2700 Millimeter --> 2.7 Meter (Check conversion here)
Angle of Inside Wheel Lock: 40 Degree --> 0.698131700797601 Radian (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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RIF = (b/sin(θ))-((atw-c)/2) --> (2.7/sin(0.698131700797601))-((1.999-1.3)/2)
Evaluating ... ...
RIF = 3.85095433252377
STEP 3: Convert Result to Output's Unit
3.85095433252377 Meter -->3850.95433252377 Millimeter (Check conversion here)
FINAL ANSWER
3850.95433252377 3850.954 Millimeter <-- Turning Radius of Inner Front Wheel
(Calculation completed in 00.019 seconds)

Credits

Created by Vivek Gaikwad
AISSMS College of Engineering, Pune (AISSMSCOE, Pune), Pune
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Indian Institute of Technology (IIT (ISM) ), Dhanbad, Jharkhand
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5 Turning Radius Calculators

Turning radius of outer front wheel while cornering
Go Turning Radius of Outer Front Wheel = (Wheelbase of Vehicle/sin(Angle of Outside Wheel Lock))+((Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)
Turning radius of front inner wheel while cornering
Go Turning Radius of Inner Front Wheel = (Wheelbase of Vehicle/sin(Angle of Inside Wheel Lock))-((Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)
Turning radius of outer rear wheel while cornering
Go Turning Radius of Outer Rear Wheel = (Wheelbase of Vehicle/tan(Angle of Outside Wheel Lock))+((Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)
Turning radius of rear inner wheel while cornering
Go Turning Radius of Inner Rear Wheel = (Wheelbase of Vehicle/tan(Angle of Inside Wheel Lock))-((Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)
Turning radius of car when taking turn
Go Turning Radius of Car = Wheelbase of Vehicle/(2*sin(Steer Angle))

Turning radius of front inner wheel while cornering Formula

Turning Radius of Inner Front Wheel = (Wheelbase of Vehicle/sin(Angle of Inside Wheel Lock))-((Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)
RIF = (b/sin(θ))-((atw-c)/2)

Turning radius of inner front wheel while cornering

Turning radius of inner front wheel while cornering is the radius of circle traced by front inner wheel while cornering.

How to Calculate Turning radius of front inner wheel while cornering?

Turning radius of front inner wheel while cornering calculator uses Turning Radius of Inner Front Wheel = (Wheelbase of Vehicle/sin(Angle of Inside Wheel Lock))-((Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2) to calculate the Turning Radius of Inner Front Wheel, The Turning radius of front inner wheel while cornering is the radius of circle traced by front inner wheel while cornering. Turning Radius of Inner Front Wheel is denoted by RIF symbol.

How to calculate Turning radius of front inner wheel while cornering using this online calculator? To use this online calculator for Turning radius of front inner wheel while cornering, enter Wheelbase of Vehicle (b), Angle of Inside Wheel Lock (θ), Track Width of Vehicle (atw) & Distance between Front Wheel Pivot Center (c) and hit the calculate button. Here is how the Turning radius of front inner wheel while cornering calculation can be explained with given input values -> 4.3E+6 = (2.7/sin(0.698131700797601))-((1.999-1.3)/2).

FAQ

What is Turning radius of front inner wheel while cornering?
The Turning radius of front inner wheel while cornering is the radius of circle traced by front inner wheel while cornering and is represented as RIF = (b/sin(θ))-((atw-c)/2) or Turning Radius of Inner Front Wheel = (Wheelbase of Vehicle/sin(Angle of Inside Wheel Lock))-((Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2). Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle, Angle of Inside Wheel Lock is the angle through which inner wheel of vehicle steers 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.
How to calculate Turning radius of front inner wheel while cornering?
The Turning radius of front inner wheel while cornering is the radius of circle traced by front inner wheel while cornering is calculated using Turning Radius of Inner Front Wheel = (Wheelbase of Vehicle/sin(Angle of Inside Wheel Lock))-((Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2). To calculate Turning radius of front inner wheel while cornering, you need Wheelbase of Vehicle (b), Angle of Inside Wheel Lock (θ), Track Width of Vehicle (atw) & Distance between Front Wheel Pivot Center (c). With our tool, you need to enter the respective value for Wheelbase of Vehicle, Angle of Inside Wheel Lock, Track Width of Vehicle & Distance between Front Wheel Pivot Center and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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