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Turning radius of rear inner wheel while cornering Formula

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

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

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

Turning radius of rear inner wheel while cornering Example

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Here is how the Turning radius of rear inner wheel while cornering equation looks like with Values.

Here is how the Turning radius of rear inner wheel while cornering equation looks like with Units.

Here is how the Turning radius of rear inner wheel while cornering equation looks like.

2868.2347 = (\frac{2700}{\tan (40)}) - (\frac{1999 - 1300}{2})

2868.2347mm = (\frac{2700mm}{\tan (40°)}) - (\frac{1999mm - 1300mm}{2})

2868.2347 = (\frac{2700}{\tan (40)}) - (\frac{1999 - 1300}{2})

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Turning radius of rear inner wheel while cornering Solution

Follow our step by step solution on how to calculate Turning radius of rear inner wheel while cornering?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R ir = (\frac{2700mm}{\tan (40°)}) - (\frac{1999mm - 1300mm}{2})

Next Step Convert Units

∴

R ir = (\frac{2.7m}{\tan (0.6981rad)}) - (\frac{1.999m - 1.3m}{2})

Next Step Prepare to Evaluate

∴

R ir = (\frac{2.7}{\tan (0.6981)}) - (\frac{1.999 - 1.3}{2})

Next Step Evaluate

∴

R ir = 2.86823470000522m

Next Step Convert to Output's Unit

∴

R ir = 2868.23470000522mm

LAST Step Rounding Answer

∴

R ir = 2868.2347mm

Turning radius of rear inner wheel while cornering Formula Elements

Variables

Functions

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

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

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

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 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 Turning radius of rear inner wheel while cornering?

Turning radius of rear inner wheel while cornering evaluator 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 evaluate 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 evaluate Turning radius of rear inner wheel while cornering using this online evaluator? To use this online evaluator 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.

FAQs on Turning radius of rear inner wheel while cornering

What is the formula to find Turning radius of rear inner wheel while cornering?

The formula of Turning radius of rear inner wheel while cornering is expressed as 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). Here is an example- 2.9E+6 = (2.7/tan(0.698131700797601))-((1.999-1.3)/2).

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

With Wheelbase of Vehicle (b), Angle of Inside Wheel Lock (θ), Track Width of Vehicle (a_tw) & Distance between Front Wheel Pivot Center (c) we can find Turning radius of rear inner wheel while cornering using the 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). This formula also uses Tangent (tan) function(s).

Can the Turning radius of rear inner wheel while cornering be negative?

No, the Turning radius of rear inner wheel while cornering, measured in Length cannot be negative.

Which unit is used to measure Turning radius of rear inner wheel while cornering?

Turning radius of rear inner wheel while cornering is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Turning radius of rear inner wheel while cornering can be measured.

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Turning radius of rear inner wheel while cornering Formula

Turning radius of rear inner wheel while cornering Example

Turning radius of rear inner wheel while cornering Solution

Turning radius of rear inner wheel while cornering Formula Elements

Other formulas in Turning Dynamics category

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

FAQs on Turning radius of rear inner wheel while cornering

Variable Name