Radius of Outer Track Line of Front Wheel Calculator

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Design of Transition Curves and Setback Distances

✖Radius of Outer Track Line of Rear Wheel is the radius of the outer horizontal curve in respective of rear wheel.ⓘ Radius of Outer Track Line of Rear Wheel [R₁]			+10% -10%
✖Distance between Front and Rear Wheel is the distance between the centers of the front and rear tires on a vehicle.ⓘ Distance between Front and Rear Wheel [l_fr]			+10% -10%

✖Radius of Outer Track Line of Front Wheel is the radius of the outer horizontal curve.ⓘ Radius of Outer Track Line of Front Wheel [R₂]

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Formula

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Radius of Outer Track Line of Front Wheel

Formula

`"R"_{"2"} = sqrt("R"_{"1"}^2+"l"_{"fr"}^2)`

Example

`"35.17101m"=sqrt(("34m")^2+("9m")^2)`

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Radius of Outer Track Line of Front Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Outer Track Line of Front Wheel = sqrt(Radius of Outer Track Line of Rear Wheel^2+Distance between Front and Rear Wheel^2)
R₂ = sqrt(R₁^2+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 Front Wheel - (Measured in Meter) - Radius of Outer Track Line of Front Wheel is the radius of the outer horizontal curve.
Radius of Outer Track Line of Rear Wheel - (Measured in Meter) - Radius of Outer Track Line of Rear Wheel is the radius of the outer horizontal curve in respective of rear wheel.
Distance between Front and Rear Wheel - (Measured in Meter) - Distance between Front and Rear Wheel is the distance between the centers of the front and rear tires on a vehicle.

STEP 1: Convert Input(s) to Base Unit

Radius of Outer Track Line of Rear Wheel: 34 Meter --> 34 Meter No Conversion Required
Distance between Front and Rear Wheel: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R₂ = sqrt(R₁^2+l_fr^2) --> sqrt(34^2+9^2)

Evaluating ... ...

R₂ = 35.1710107901379

STEP 3: Convert Result to Output's Unit

35.1710107901379 Meter --> No Conversion Required

FINAL ANSWER

35.1710107901379 ≈ 35.17101 Meter <-- Radius of Outer Track Line of Front Wheel

(Calculation completed in 00.004 seconds)

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Created by Avayjit Das

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

Avayjit Das has created this Calculator and 25+ more calculators!

Verified by Kartikay Pandit

National Institute Of Technology (NIT), Hamirpur

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< 12 Design of Superelevation Calculators

Total Widening needed at Horizontal Curve

Go Total Widening Needed at Horizontal Curve = (Number of Lanes*Distance between Front and Rear Wheel^2)/(2*Mean Radius of Curve)+Velocity/(2.64*sqrt(Mean Radius of Curve))

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

Velocity of Vehicle for Ruling Minimum Radius

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

Radius of Outer Track Line of Front Wheel

Go Radius of Outer Track Line of Front Wheel = sqrt(Radius of Outer Track Line of Rear Wheel^2+Distance between Front and Rear Wheel^2)

Radius of Outer Track Line of Rear Wheel

Go 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)

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)

Number of Lanes in Horizontal Curve

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

Psychological Widening at Horizontal Curves

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

Velocity of Vehicle for Psychological Widening

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

Rate of Super Elevation

Go Rate of Super Elevation = (0.75*Velocity^2)/([g]*Mean Radius of Curve)

Allowable Speed of Vehicle in Horizontal Curve

Go Allowable Speed = sqrt(0.22*[g]*Mean Radius of Curve)

Radius of Outer Track Line of Front Wheel Formula

Radius of Outer Track Line of Front Wheel = sqrt(Radius of Outer Track Line of Rear Wheel^2+Distance between Front and Rear Wheel^2)
R₂ = sqrt(R₁^2+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 Front Wheel?

Radius of Outer Track Line of Front Wheel calculator uses Radius of Outer Track Line of Front Wheel = sqrt(Radius of Outer Track Line of Rear Wheel^2+Distance between Front and Rear Wheel^2) to calculate the Radius of Outer Track Line of Front Wheel, The Radius of Outer Track Line of Front Wheel formula is defined as the radius of the outer horizontal curve in respective of rear wheel. Radius of Outer Track Line of Front Wheel is denoted by R₂ symbol.

How to calculate Radius of Outer Track Line of Front Wheel using this online calculator? To use this online calculator for Radius of Outer Track Line of Front Wheel, enter Radius of Outer Track Line of Rear Wheel (R₁) & Distance between Front and Rear Wheel (l_fr) and hit the calculate button. Here is how the Radius of Outer Track Line of Front Wheel calculation can be explained with given input values -> 41.04875 = sqrt(34^2+9^2).

FAQ

What is Radius of Outer Track Line of Front Wheel?

The Radius of Outer Track Line of Front Wheel formula is defined as the radius of the outer horizontal curve in respective of rear wheel and is represented as R₂ = sqrt(R₁^2+l_fr^2) or Radius of Outer Track Line of Front Wheel = sqrt(Radius of Outer Track Line of Rear Wheel^2+Distance between Front and Rear Wheel^2). Radius of Outer Track Line of Rear Wheel is the radius of the outer horizontal curve in respective of rear wheel & Distance between Front and Rear Wheel is the distance between the centers of the front and rear tires on a vehicle.

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

The Radius of Outer Track Line of Front Wheel formula is defined as the radius of the outer horizontal curve in respective of rear wheel is calculated using Radius of Outer Track Line of Front Wheel = sqrt(Radius of Outer Track Line of Rear Wheel^2+Distance between Front and Rear Wheel^2). To calculate Radius of Outer Track Line of Front Wheel, you need Radius of Outer Track Line of Rear Wheel (R₁) & 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 Rear 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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