Velocity of Vehicle for Ruling Minimum Radius Calculator

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Design of Transition Curves and Setback Distances

✖The ruling minimum radius is a limiting value of curvature for a given design speed. A ruling minimum radius is calculated on the basis of maximum super elevation and coefficient of friction.ⓘ Ruling Minimum Radius [R_ruling]			+10% -10%
✖Rate of Super Elevation is the transverse slope along the width of the road provided by rising the outer edge of the road with respect to the inner edge, throughout the length of the horizontal curve.ⓘ Rate of Super Elevation [e]			+10% -10%
✖Coefficient of Lateral Friction is a dimensionless value that represents the ratio of the lateral force required to move an object or surface laterally to the normal force acting on it.ⓘ Coefficient of Lateral Friction [f_lateral]			+10% -10%

✖Velocity is the rate of change of distance of the vehicle with respect to time.ⓘ Velocity of Vehicle for Ruling Minimum Radius [v_vehicle]

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Formula

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Velocity of Vehicle for Ruling Minimum Radius

Formula

`"v"_{"vehicle"} = sqrt("R"_{"ruling"}*"[g]"*("e"+"f"_{"lateral"}))`

Example

`"24.13535m/s"=sqrt("270m"*"[g]"*("0.07"+"0.15"))`

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Velocity of Vehicle for Ruling Minimum Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity = sqrt(Ruling Minimum Radius*[g]*(Rate of Super Elevation+Coefficient of Lateral Friction))
v_vehicle = sqrt(R_ruling*[g]*(e+f_lateral))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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

Velocity - (Measured in Meter per Second) - Velocity is the rate of change of distance of the vehicle with respect to time.
Ruling Minimum Radius - (Measured in Meter) - The ruling minimum radius is a limiting value of curvature for a given design speed. A ruling minimum radius is calculated on the basis of maximum super elevation and coefficient of friction.
Rate of Super Elevation - Rate of Super Elevation is the transverse slope along the width of the road provided by rising the outer edge of the road with respect to the inner edge, throughout the length of the horizontal curve.
Coefficient of Lateral Friction - Coefficient of Lateral Friction is a dimensionless value that represents the ratio of the lateral force required to move an object or surface laterally to the normal force acting on it.

STEP 1: Convert Input(s) to Base Unit

Ruling Minimum Radius: 270 Meter --> 270 Meter No Conversion Required
Rate of Super Elevation: 0.07 --> No Conversion Required
Coefficient of Lateral Friction: 0.15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_vehicle = sqrt(R_ruling*[g]*(e+f_lateral)) --> sqrt(270*[g]*(0.07+0.15))

Evaluating ... ...

v_vehicle = 24.1353477290053

STEP 3: Convert Result to Output's Unit

24.1353477290053 Meter per Second --> No Conversion Required

FINAL ANSWER

24.1353477290053 ≈ 24.13535 Meter per Second <-- Velocity

(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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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)

Velocity of Vehicle for Ruling Minimum Radius Formula

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

What is Vehicle for Ruling Minimum Radius?

The ruling minimum radius is a limiting value of curvature for a given design speed. A ruling minimum radius is calculated on the basis of maximum super-elevation and coefficient of friction.

How to Calculate Velocity of Vehicle for Ruling Minimum Radius?

Velocity of Vehicle for Ruling Minimum Radius calculator uses Velocity = sqrt(Ruling Minimum Radius*[g]*(Rate of Super Elevation+Coefficient of Lateral Friction)) to calculate the Velocity, The Velocity of Vehicle for Ruling Minimum Radius formula is defined as distance covered in unit time in ruling minimum radius. Velocity is denoted by v_vehicle symbol.

How to calculate Velocity of Vehicle for Ruling Minimum Radius using this online calculator? To use this online calculator for Velocity of Vehicle for Ruling Minimum Radius, enter Ruling Minimum Radius (R_ruling), Rate of Super Elevation (e) & Coefficient of Lateral Friction (f_lateral) and hit the calculate button. Here is how the Velocity of Vehicle for Ruling Minimum Radius calculation can be explained with given input values -> 24.13535 = sqrt(270*[g]*(0.07+0.15)).

FAQ

What is Velocity of Vehicle for Ruling Minimum Radius?

The Velocity of Vehicle for Ruling Minimum Radius formula is defined as distance covered in unit time in ruling minimum radius and is represented as v_vehicle = sqrt(R_ruling*[g]*(e+f_lateral)) or Velocity = sqrt(Ruling Minimum Radius*[g]*(Rate of Super Elevation+Coefficient of Lateral Friction)). The ruling minimum radius is a limiting value of curvature for a given design speed. A ruling minimum radius is calculated on the basis of maximum super elevation and coefficient of friction, Rate of Super Elevation is the transverse slope along the width of the road provided by rising the outer edge of the road with respect to the inner edge, throughout the length of the horizontal curve & Coefficient of Lateral Friction is a dimensionless value that represents the ratio of the lateral force required to move an object or surface laterally to the normal force acting on it.

How to calculate Velocity of Vehicle for Ruling Minimum Radius?

The Velocity of Vehicle for Ruling Minimum Radius formula is defined as distance covered in unit time in ruling minimum radius is calculated using Velocity = sqrt(Ruling Minimum Radius*[g]*(Rate of Super Elevation+Coefficient of Lateral Friction)). To calculate Velocity of Vehicle for Ruling Minimum Radius, you need Ruling Minimum Radius (R_ruling), Rate of Super Elevation (e) & Coefficient of Lateral Friction (f_lateral). With our tool, you need to enter the respective value for Ruling Minimum Radius, Rate of Super Elevation & Coefficient of Lateral Friction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Velocity?

In this formula, Velocity uses Ruling Minimum Radius, Rate of Super Elevation & Coefficient of Lateral Friction. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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