Turning radius of rear inner wheel while cornering Calculator

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Front Axle and Steering

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Race Car Vehicle Dynamics

Suspension Geometry

Vehicle Collision

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Turning Radius

Moments, Loads, Angles acting on Steering system and Axles

Movement Ratio

Pivot Centre, Wheel Base and Track

Steering System

✖Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.ⓘ Wheelbase of Vehicle [b]			+10% -10%
✖Angle of Inside Wheel Lock is the angle through which inner wheel of vehicle steers while cornering.ⓘ Angle of Inside Wheel Lock [θ]			+10% -10%
✖Track Width of Vehicle is the distance between the center line of each of the two wheels on the same axle (front/rear axle).ⓘ Track Width of Vehicle [a_tw]			+10% -10%
✖Distance between Front Wheel Pivot Center is the distance between those points about which both front wheels pivot while cornering.ⓘ Distance between Front Wheel Pivot Center [c]			+10% -10%

✖Turning Radius of Inner Rear Wheel while cornering is the radius of circle traced by inner rear wheel while cornering.ⓘ Turning radius of rear inner wheel while cornering [R_IR]

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Formula

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Turning radius of rear inner wheel while cornering

Formula

`"R"_{"IR"} = ("b"/tan("θ"))-(("a"_{"tw"}-"c")/2)`

Example

`"2868.235mm"=("2700mm"/tan("40°"))-(("1999mm"-"1300mm")/2)`

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Turning radius of rear inner wheel while cornering Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
R_IR = (b/tan(θ))-((a_tw-c)/2)
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

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.
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

R_IR = (b/tan(θ))-((a_tw-c)/2) --> (2.7/tan(0.698131700797601))-((1.999-1.3)/2)

Evaluating ... ...

R_IR = 2.86823470000522

STEP 3: Convert Result to Output's Unit

2.86823470000522 Meter -->2868.23470000522 Millimeter (Check conversion here)

FINAL ANSWER

2868.23470000522 ≈ 2868.235 Millimeter <-- Turning Radius of Inner Rear Wheel

(Calculation completed in 00.004 seconds)

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Credits

Created by Vivek Gaikwad

AISSMS College of Engineering, Pune (AISSMSCOE, Pune), Pune

Vivek Gaikwad has created this Calculator and 25+ more calculators!

Verified by Aditya Prakash Gautam

Indian Institute of Technology (IIT (ISM) ), Dhanbad, Jharkhand

Aditya Prakash Gautam has verified this Calculator and 7 more calculators!

< 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 rear inner wheel while cornering Formula

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)
R_IR = (b/tan(θ))-((a_tw-c)/2)

The Turning radius of rear inner wheel of vehicle while cornering

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

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

Turning radius of rear inner wheel while cornering calculator uses 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) to calculate the Turning Radius of Inner Rear Wheel, The Turning radius of rear inner wheel while cornering is the radius of circle traced by rear inner wheel while cornering. Turning Radius of Inner Rear Wheel is denoted by R_IR symbol.

How to calculate Turning radius of rear inner wheel while cornering using this online calculator? To use this online calculator for Turning radius of rear inner wheel while cornering, enter Wheelbase of Vehicle (b), Angle of Inside Wheel Lock (θ), Track Width of Vehicle (a_tw) & Distance between Front Wheel Pivot Center (c) and hit the calculate button. Here is how the Turning radius of rear inner wheel while cornering calculation can be explained with given input values -> 3.3E+6 = (2.7/tan(0.698131700797601))-((1.999-1.3)/2).

FAQ

What is Turning radius of rear inner wheel while cornering?

The Turning radius of rear inner wheel while cornering is the radius of circle traced by rear inner wheel while cornering and is represented as R_IR = (b/tan(θ))-((a_tw-c)/2) or 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). 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 rear inner wheel while cornering?

The Turning radius of rear inner wheel while cornering is the radius of circle traced by rear inner wheel while cornering is calculated using 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). To calculate Turning radius of rear inner wheel while cornering, you need Wheelbase of Vehicle (b), Angle of Inside Wheel Lock (θ), Track Width of Vehicle (a_tw) & 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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