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Wheel Track given Turning Radius of Inner Rear Wheel Formula

GoWheel Track given Turning Radius of Inner Front Wheel Formula

GoWheel Track given Turning Radius of Outer Front Wheel Formula

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Track Width of Vehicle is the distance between the center line of each of the two wheels on the same axle (front/rear axle). Check FAQs

a tw = 2 \cdot (\frac{b}{\tan (θ)} - R ir) + c

a_tw - Track Width of Vehicle?b - Wheelbase of Vehicle?θ - Angle of Inside Wheel Lock?R_ir - Turning Radius of Inner Rear Wheel?c - Distance between Front Wheel Pivot Center?

Wheel Track given Turning Radius of Inner Rear Wheel Example

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Here is how the Wheel Track given Turning Radius of Inner Rear Wheel equation looks like with Values.

Here is how the Wheel Track given Turning Radius of Inner Rear Wheel equation looks like with Units.

Here is how the Wheel Track given Turning Radius of Inner Rear Wheel equation looks like.

1935.4694 = 2 \cdot (\frac{2700}{\tan (40)} - 2900) + 1300

1935.4694mm = 2 \cdot (\frac{2700mm}{\tan (40°)} - 2900mm) + 1300mm

1935.4694 = 2 \cdot (\frac{2700}{\tan (40)} - 2900) + 1300

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Wheel Track given Turning Radius of Inner Rear Wheel Solution

Follow our step by step solution on how to calculate Wheel Track given Turning Radius of Inner Rear Wheel?

FIRST Step Consider the formula

a tw = 2 \cdot (\frac{b}{\tan (θ)} - R ir) + c

Next Step Substitute values of Variables

∴

a tw = 2 \cdot (\frac{2700mm}{\tan (40°)} - 2900mm) + 1300mm

Next Step Convert Units

∴

a tw = 2 \cdot (\frac{2.7m}{\tan (0.6981rad)} - 2.9m) + 1.3m

Next Step Prepare to Evaluate

∴

a tw = 2 \cdot (\frac{2.7}{\tan (0.6981)} - 2.9) + 1.3

Next Step Evaluate

∴

a tw = 1.93546940001044m

Next Step Convert to Output's Unit

∴

a tw = 1935.46940001044mm

LAST Step Rounding Answer

∴

a tw = 1935.4694mm

Wheel Track given Turning Radius of Inner Rear Wheel Formula Elements

Variables

Functions

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).

Symbol: a_tw

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Track Width of Vehicle

Wheelbase of Vehicle

Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Wheelbase of Vehicle

Angle of Inside Wheel Lock

Angle of Inside Wheel Lock is the angle through which inner wheel of vehicle steers while cornering.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle of Inside Wheel Lock

Turning Radius of Inner Rear Wheel

Turning Radius of Inner Rear Wheel while cornering is the radius of circle traced by inner rear wheel while cornering.

Symbol: R_ir

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Turning Radius of Inner Rear Wheel

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.

Symbol: c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance between Front Wheel Pivot Center

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.

Syntax: tan(Angle)

Other Formulas to find Track Width of Vehicle

Go Wheel Track given Turning Radius of Inner Front Wheel

a tw = 2 \cdot (\frac{b}{\sin (θ)} - R if) + c

Go Wheel Track given Turning Radius of Outer Front Wheel

a tw = 2 \cdot (- \frac{b}{\sin (φ)} + R of) + c

Go Wheel Track given Turning Radius of Outer Rear Wheel

a tw = 2 \cdot (- \frac{b}{\tan (φ)} + R or) + c

Other formulas in Turning Dynamics category

Go Pivot Centre given Turning Radius of Inner Front Wheel

c = a tw - 2 \cdot (\frac{b}{\sin (θ)} - R if)

Go Pivot Centre given Turning Radius of Inner Rear Wheel

c = a tw - 2 \cdot (\frac{b}{\tan (θ)} - R ir)

Go Pivot Centre given Turning Radius of Outer Front Wheel

c = a tw - 2 \cdot (- \frac{b}{\sin (φ)} + R of)

Go Pivot Centre given Turning Radius of Outer Rear Wheel

c = a tw - 2 \cdot (- \frac{b}{\tan (φ)} + R or)

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

Wheel Track given Turning Radius of Inner Rear Wheel evaluator 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 evaluate 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 evaluate Wheel Track given Turning Radius of Inner Rear Wheel using this online evaluator? To use this online evaluator 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.

FAQs on Wheel Track given Turning Radius of Inner Rear Wheel

What is the formula to find Wheel Track given Turning Radius of Inner Rear Wheel?

The formula of Wheel Track given Turning Radius of Inner Rear Wheel is expressed as 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. Here is an example- 1.9E+6 = 2*(2.7/tan(0.698131700797601)-2.9)+1.3.

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

With 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) we can find Wheel Track given Turning Radius of Inner Rear Wheel using the formula - 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. This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Track Width of Vehicle?

Here are the different ways to Calculate Track Width of Vehicle-

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

Can the Wheel Track given Turning Radius of Inner Rear Wheel be negative?

No, the Wheel Track given Turning Radius of Inner Rear Wheel, measured in Length cannot be negative.

Which unit is used to measure Wheel Track given Turning Radius of Inner Rear Wheel?

Wheel Track given Turning Radius of Inner Rear Wheel is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Wheel Track given Turning Radius of Inner Rear Wheel can be measured.

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Wheel Track given Turning Radius of Inner Rear Wheel Formula

​GoWheel Track given Turning Radius of Inner Front Wheel Formula

​GoWheel Track given Turning Radius of Outer Front Wheel Formula

Wheel Track given Turning Radius of Inner Rear Wheel Example

Wheel Track given Turning Radius of Inner Rear Wheel Solution

Wheel Track given Turning Radius of Inner Rear Wheel Formula Elements

Other Formulas to find Track Width of Vehicle

Other formulas in Turning Dynamics category

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

FAQs on Wheel Track given Turning Radius of Inner Rear Wheel

Variable Name

GoWheel Track given Turning Radius of Inner Front Wheel Formula

GoWheel Track given Turning Radius of Outer Front Wheel Formula