Wheel Track given Turning Radius of Inner Rear Wheel Calculator

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

✖Track Width of Vehicle is the distance between the center line of each of the two wheels on the same axle (front/rear axle).ⓘ Wheel Track given Turning Radius of Inner Rear Wheel [a_tw]

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Wheel Track given Turning Radius of Inner Rear Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
a_tw = 2*(b/tan(θ)-R_ir)+c
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

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 Inside Wheel Lock - (Measured in Radian) - Angle of Inside Wheel Lock is the angle through which inner wheel of vehicle steers while cornering.
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.
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)
Turning Radius of Inner Rear Wheel: 2900 Millimeter --> 2.9 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

a_tw = 2*(b/tan(θ)-R_ir)+c --> 2*(2.7/tan(0.698131700797601)-2.9)+1.3

Evaluating ... ...

a_tw = 1.93546940001044

STEP 3: Convert Result to Output's Unit

1.93546940001044 Meter -->1935.46940001044 Millimeter (Check conversion here)

FINAL ANSWER

1935.46940001044 ≈ 1935.469 Millimeter <-- Track Width of Vehicle

(Calculation completed in 00.004 seconds)

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Home » Physics » Automobile » Front Axle and Steering » Mechanical » Turning Dynamics » Wheel Track given Turning Radius of Inner Rear Wheel

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Created by Vivek Gaikwad

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

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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)

Wheel Track given Turning Radius of Inner Rear Wheel Formula

LaTeX 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
a_tw = 2*(b/tan(θ)-R_ir)+c

What is Track width of vehicle?

Track width of vehicle is the distance between the center line of each of the two wheels on the same axle (front/rear axle).

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

Wheel Track given Turning Radius of Inner Rear Wheel calculator uses 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 to calculate the Track Width of Vehicle, The Wheel track given Turning Radius of Inner Rear Wheel is the distance between the center line of each of the two wheels on the same axle (front/rear axle). Track Width of Vehicle is denoted by a_tw symbol.

How to calculate Wheel Track given Turning Radius of Inner Rear Wheel using this online calculator? To use this online calculator for Wheel Track given Turning Radius of Inner Rear Wheel, enter Wheelbase of Vehicle (b), Angle of Inside Wheel Lock (θ), Turning Radius of Inner Rear Wheel (R_ir) & Distance between Front Wheel Pivot Center (c) and hit the calculate button. Here is how the Wheel Track given Turning Radius of Inner Rear Wheel calculation can be explained with given input values -> 1.9E+6 = 2*(2.7/tan(0.698131700797601)-2.9)+1.3.

FAQ

What is Wheel Track given Turning Radius of Inner Rear Wheel?

The Wheel track given Turning Radius of Inner Rear Wheel is the distance between the center line of each of the two wheels on the same axle (front/rear axle) and is represented as a_tw = 2*(b/tan(θ)-R_ir)+c or 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. 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, Turning Radius of Inner Rear Wheel while cornering is the radius of circle traced by inner rear wheel while cornering & Distance between Front Wheel Pivot Center is the distance between those points about which both front wheels pivot while cornering.

How to calculate Wheel Track given Turning Radius of Inner Rear Wheel?

The Wheel track given Turning Radius of Inner Rear Wheel is the distance between the center line of each of the two wheels on the same axle (front/rear axle) is calculated using 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. To calculate Wheel Track given Turning Radius of Inner Rear Wheel, you need Wheelbase of Vehicle (b), Angle of Inside Wheel Lock (θ), Turning Radius of Inner Rear Wheel (R_ir) & 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, Turning Radius of Inner Rear Wheel & 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.

How many ways are there to calculate Track Width of Vehicle?

In this formula, Track Width of Vehicle uses Wheelbase of Vehicle, Angle of Inside Wheel Lock, Turning Radius of Inner Rear Wheel & Distance between Front Wheel Pivot Center. We can use 3 other way(s) to calculate the same, which is/are as follows -

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/sin(Angle of Outside Wheel Lock)+Turning Radius of Outer Front 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)+Distance between Front Wheel Pivot Center

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