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Velocity of Vehicle for Ruling Minimum Radius Calculator

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✖Ruling Minimum Radius is the minimum radius of a curve in a road design, ensuring safe and smooth traffic flow at desired speeds.ⓘ Ruling Minimum Radius [R_ruling]			+10% -10%
✖Rate of Super Elevation is the rate at which the outer rail is raised above the inner rail in a curve to balance centrifugal force.ⓘ Rate of Super Elevation [e]			+10% -10%
✖Coefficient of Lateral Friction is a measure of the frictional force that opposes the motion of a vehicle on a curved path in superelevation design.ⓘ Coefficient of Lateral Friction [f_lateral]			+10% -10%

✖Velocity is the rate of change of an object's position with respect to time, used in superelevation design to ensure safe and efficient traffic flow.ⓘ Velocity of Vehicle for Ruling Minimum Radius [v_vehicle]

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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 an object's position with respect to time, used in superelevation design to ensure safe and efficient traffic flow.
Ruling Minimum Radius - (Measured in Meter) - Ruling Minimum Radius is the minimum radius of a curve in a road design, ensuring safe and smooth traffic flow at desired speeds.
Rate of Super Elevation - Rate of Super Elevation is the rate at which the outer rail is raised above the inner rail in a curve to balance centrifugal force.
Coefficient of Lateral Friction - Coefficient of Lateral Friction is a measure of the frictional force that opposes the motion of a vehicle on a curved path in superelevation design.

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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< Design of Superelevation Calculators

Distance between Front and Rear Wheel

LaTeX 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

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

Mechanical Widening needed for Large Radius of Road Curve

LaTeX 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

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

Velocity of Vehicle for Ruling Minimum Radius Formula

LaTeX Go

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)). Ruling Minimum Radius is the minimum radius of a curve in a road design, ensuring safe and smooth traffic flow at desired speeds, Rate of Super Elevation is the rate at which the outer rail is raised above the inner rail in a curve to balance centrifugal force & Coefficient of Lateral Friction is a measure of the frictional force that opposes the motion of a vehicle on a curved path in superelevation design.

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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