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Radius of Outer Track Line of Rear Wheel Calculator

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✖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.ⓘ Radius of Outer Track Line of Front Wheel [R₂]			+10% -10%
✖Distance between Front and Rear Wheel is the horizontal distance between the front and rear wheels of a vehicle on a curved road section.ⓘ Distance between Front and Rear Wheel [l_fr]			+10% -10%

✖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.ⓘ Radius of Outer Track Line of Rear Wheel [R₁]

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Radius of Outer Track Line of Rear Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
R₁ = sqrt(R₂^2-l_fr^2)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Radius of Outer Track Line of Rear Wheel - (Measured in Meter) - 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.
Radius of Outer Track Line of Front Wheel - (Measured in Meter) - 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.
Distance between Front and Rear Wheel - (Measured in Meter) - Distance between Front and Rear Wheel is the horizontal distance between the front and rear wheels of a vehicle on a curved road section.

STEP 1: Convert Input(s) to Base Unit

Radius of Outer Track Line of Front Wheel: 41.3555 Meter --> 41.3555 Meter No Conversion Required
Distance between Front and Rear Wheel: 23.5431 Meter --> 23.5431 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R₁ = sqrt(R₂^2-l_fr^2) --> sqrt(41.3555^2-23.5431^2)

Evaluating ... ...

R₁ = 33.9999973917646

STEP 3: Convert Result to Output's Unit

33.9999973917646 Meter --> No Conversion Required

FINAL ANSWER

33.9999973917646 ≈ 34 Meter <-- Radius of Outer Track Line of Rear Wheel

(Calculation completed in 00.004 seconds)

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Created by Avayjit Das

University of Engineering and Management,Kolkata (UEMK), Kolkata

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< Design of Superelevation Calculators

Distance between Front and Rear Wheel

Go Distance between Front and Rear Wheel = 2*Radius of Outer Track Line of Front Wheel*Mechanical Widening on Horizontal Curves-Mechanical Widening on Horizontal Curves^2

Ruling Minimum Radius

Go Ruling Minimum Radius = Velocity^2/([g]*(Rate of Super Elevation+Coefficient of Lateral Friction))

Mechanical Widening needed for Large Radius of Road Curve

Go Mechanical Widening on Horizontal Curves = (Number of Lanes*Distance between Front and Rear Wheel^2)/(2*Mean Radius of Curve)

Psychological Widening at Horizontal Curves

Go Psychological Widening at Horizontal Curves = Velocity/(2.64*sqrt(Mean Radius of Curve))

Radius of Outer Track Line of Rear Wheel 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)
R₁ = sqrt(R₂^2-l_fr^2)

What is Outer Track Line?

Outer Track Line track width or simply track refers to the distance between the centerline of two wheels on the same axle

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

Radius of Outer Track Line of Rear Wheel calculator 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 calculate the Radius of Outer Track Line of Rear Wheel, Radius of Outer Track Line of Rear Wheel formula is defined as a measure that determines the curvature of the outer track line of a rear wheel, which is essential for optimizing vehicle stability and performance during turns. Radius of Outer Track Line of Rear Wheel is denoted by R₁ symbol.

How to calculate Radius of Outer Track Line of Rear Wheel using this online calculator? To use this online calculator 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. Here is how the Radius of Outer Track Line of Rear Wheel calculation can be explained with given input values -> 34 = sqrt(41.3555^2-23.5431^2).

FAQ

What is Radius of Outer Track Line of Rear Wheel?

Radius of Outer Track Line of Rear Wheel formula is defined as a measure that determines the curvature of the outer track line of a rear wheel, which is essential for optimizing vehicle stability and performance during turns and is represented as R₁ = sqrt(R₂^2-l_fr^2) or 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). 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 & Distance between Front and Rear Wheel is the horizontal distance between the front and rear wheels of a vehicle on a curved road section.

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

Radius of Outer Track Line of Rear Wheel formula is defined as a measure that determines the curvature of the outer track line of a rear wheel, which is essential for optimizing vehicle stability and performance during turns is calculated using 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 calculate Radius of Outer Track Line of Rear Wheel, you need Radius of Outer Track Line of Front Wheel (R₂) & Distance between Front and Rear Wheel (l_fr). With our tool, you need to enter the respective value for Radius of Outer Track Line of Front Wheel & Distance between Front and Rear Wheel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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