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Radius of Outer Track Line of Rear Wheel Formula

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Radius of Outer Track Line of Rear Wheel is the distance from the center of the rear wheel to the outer edge of the track line in superelevation design. Check FAQs

R 1 = \sqrt{{R 2}^{2} - {l fr}^{2}}

R₁ - Radius of Outer Track Line of Rear Wheel?R₂ - Radius of Outer Track Line of Front Wheel?l_fr - Distance between Front and Rear Wheel?

Radius of Outer Track Line of Rear Wheel Example

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Here is how the Radius of Outer Track Line of Rear Wheel equation looks like with Values.

Here is how the Radius of Outer Track Line of Rear Wheel equation looks like with Units.

Here is how the Radius of Outer Track Line of Rear Wheel equation looks like.

30.7083 = \sqrt{32^{2} - 9^{2}}

30.7083m = \sqrt{{32m}^{2} - {9m}^{2}}

30.7083 = \sqrt{32^{2} - 9^{2}}

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Radius of Outer Track Line of Rear Wheel Solution

Follow our step by step solution on how to calculate Radius of Outer Track Line of Rear Wheel?

FIRST Step Consider the formula

R 1 = \sqrt{{R 2}^{2} - {l fr}^{2}}

Next Step Substitute values of Variables

∴

R 1 = \sqrt{{32m}^{2} - {9m}^{2}}

Next Step Prepare to Evaluate

∴

R 1 = \sqrt{32^{2} - 9^{2}}

Next Step Evaluate

∴

R 1 = 30.7083050655682m

LAST Step Rounding Answer

∴

R 1 = 30.7083m

Radius of Outer Track Line of Rear Wheel Formula Elements

Variables

Functions

Radius of Outer Track Line of Rear Wheel

Radius of Outer Track Line of Rear Wheel is the distance from the center of the rear wheel to the outer edge of the track line in superelevation design.

Symbol: R₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Outer Track Line of Rear Wheel

Radius of Outer Track Line of Front Wheel

Radius of Outer Track Line of Front Wheel is the distance from the center of the wheel to the outer edge of the front wheel track line in superelevation design.

Symbol: R₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Outer Track Line of Front Wheel

Distance between Front and Rear Wheel

Distance between Front and Rear Wheel is the horizontal distance between the front and rear wheels of a vehicle on a curved road section.

Symbol: l_fr

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance between Front and Rear Wheel

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Design of Superelevation category

Go Distance between Front and Rear Wheel

l fr = 2 \cdot R 2 \cdot W m - {W m}^{2}

Go Psychological Widening at Horizontal Curves

W ps = \frac{v vehicle}{2.64 \cdot \sqrt{R mean}}

Go Mechanical Widening needed for Large Radius of Road Curve

W m = \frac{n \cdot {l fr}^{2}}{2 \cdot R mean}

Go Ruling Minimum Radius

R ruling = \frac{{v vehicle}^{2}}{[g] \cdot (e + f lateral)}

How to Evaluate Radius of Outer Track Line of Rear Wheel?

Radius of Outer Track Line of Rear Wheel evaluator uses Radius of Outer Track Line of Rear Wheel = sqrt(Radius of Outer Track Line of Front Wheel^2-Distance between Front and Rear Wheel^2) to evaluate the Radius of Outer Track Line of Rear Wheel, The Radius of Outer Track Line of Rear Wheel formula is defined as the radius of the outer horizontal curve in respective of rear wheel. Radius of Outer Track Line of Rear Wheel is denoted by R₁ symbol.

How to evaluate Radius of Outer Track Line of Rear Wheel using this online evaluator? To use this online evaluator for Radius of Outer Track Line of Rear Wheel, enter Radius of Outer Track Line of Front Wheel (R₂) & Distance between Front and Rear Wheel (l_fr) and hit the calculate button.

FAQs on Radius of Outer Track Line of Rear Wheel

What is the formula to find Radius of Outer Track Line of Rear Wheel?

The formula of Radius of Outer Track Line of Rear Wheel is expressed as Radius of Outer Track Line of Rear Wheel = sqrt(Radius of Outer Track Line of Front Wheel^2-Distance between Front and Rear Wheel^2). Here is an example- 22.2486 = sqrt(32^2-9^2).

How to calculate Radius of Outer Track Line of Rear Wheel?

With Radius of Outer Track Line of Front Wheel (R₂) & Distance between Front and Rear Wheel (l_fr) we can find Radius of Outer Track Line of Rear Wheel using the formula - Radius of Outer Track Line of Rear Wheel = sqrt(Radius of Outer Track Line of Front Wheel^2-Distance between Front and Rear Wheel^2). This formula also uses Square Root (sqrt) function(s).

Can the Radius of Outer Track Line of Rear Wheel be negative?

No, the Radius of Outer Track Line of Rear Wheel, measured in Length cannot be negative.

Which unit is used to measure Radius of Outer Track Line of Rear Wheel?

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

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Radius of Outer Track Line of Rear Wheel Formula

Radius of Outer Track Line of Rear Wheel Example

Radius of Outer Track Line of Rear Wheel Solution

Radius of Outer Track Line of Rear Wheel Formula Elements

Other formulas in Design of Superelevation category

How to Evaluate Radius of Outer Track Line of Rear Wheel?

FAQs on Radius of Outer Track Line of Rear Wheel

Variable Name