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Wheel Base given Turning Radius of Inner Rear Wheel Formula

GoWheel Base given Turning Radius of Inner Front Wheel Formula

GoWheel Base given Turning Radius of Outer Front Wheel Formula

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

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

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

Wheel Base given Turning Radius of Inner Rear Wheel Example

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

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

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

2726.6543 = (2900 + \frac{1999 - 1300}{2}) \cdot \tan (40)

2726.6543mm = (2900mm + \frac{1999mm - 1300mm}{2}) \cdot \tan (40°)

2726.6543 = (2900 + \frac{1999 - 1300}{2}) \cdot \tan (40)

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Wheel Base given Turning Radius of Inner Rear Wheel Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b = (2900mm + \frac{1999mm - 1300mm}{2}) \cdot \tan (40°)

Next Step Convert Units

∴

b = (2.9m + \frac{1.999m - 1.3m}{2}) \cdot \tan (0.6981rad)

Next Step Prepare to Evaluate

∴

b = (2.9 + \frac{1.999 - 1.3}{2}) \cdot \tan (0.6981)

Next Step Evaluate

∴

b = 2.72665425150985m

Next Step Convert to Output's Unit

∴

b = 2726.65425150985mm

LAST Step Rounding Answer

∴

b = 2726.6543mm

Wheel Base given Turning Radius of Inner Rear Wheel Formula Elements

Variables

Functions

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

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

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

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

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

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 Wheelbase of Vehicle

Go Wheel Base given Turning Radius of Inner Front Wheel

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

Go Wheel Base given Turning Radius of Outer Front Wheel

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

Go Wheel Base given Turning Radius of Outer Rear Wheel

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

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 Base given Turning Radius of Inner Rear Wheel?

Wheel Base given Turning Radius of Inner Rear Wheel evaluator 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 evaluate 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 evaluate Wheel Base given Turning Radius of Inner Rear Wheel using this online evaluator? To use this online evaluator for Wheel Base given Turning Radius of Inner Rear Wheel, enter Turning Radius of Inner Rear Wheel (R_ir), Track Width of Vehicle (a_tw), Distance between Front Wheel Pivot Center (c) & Angle of Inside Wheel Lock (θ) and hit the calculate button.

FAQs on Wheel Base given Turning Radius of Inner Rear Wheel

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

The formula of Wheel Base given Turning Radius of Inner Rear Wheel is expressed as 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). Here is an example- 2.7E+6 = (2.9+(1.999-1.3)/2)*tan(0.698131700797601).

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

With Turning Radius of Inner Rear Wheel (R_ir), Track Width of Vehicle (a_tw), Distance between Front Wheel Pivot Center (c) & Angle of Inside Wheel Lock (θ) we can find Wheel Base given Turning Radius of Inner Rear Wheel using the 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). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Wheelbase of Vehicle?

Here are the different ways to Calculate Wheelbase of Vehicle-

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)

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

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

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

Wheel Base 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 Base given Turning Radius of Inner Rear Wheel can be measured.

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Wheel Base given Turning Radius of Inner Rear Wheel Formula

​GoWheel Base given Turning Radius of Inner Front Wheel Formula

​GoWheel Base given Turning Radius of Outer Front Wheel Formula

Wheel Base given Turning Radius of Inner Rear Wheel Example

Wheel Base given Turning Radius of Inner Rear Wheel Solution

Wheel Base given Turning Radius of Inner Rear Wheel Formula Elements

Other Formulas to find Wheelbase of Vehicle

Other formulas in Turning Dynamics category

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

FAQs on Wheel Base given Turning Radius of Inner Rear Wheel

Variable Name

GoWheel Base given Turning Radius of Inner Front Wheel Formula

GoWheel Base given Turning Radius of Outer Front Wheel Formula