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Velocity of Vehicle for Ruling Minimum Radius Formula

GoVelocity of Vehicle for Psychological Widening Formula

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Velocity is the rate of change of distance of the vehicle with respect to time. Check FAQs

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

v_vehicle - Velocity?R_ruling - Ruling Minimum Radius?e - Rate of Super Elevation?f_lateral - Coefficient of Lateral Friction?[g] - Gravitational acceleration on Earth?

Velocity of Vehicle for Ruling Minimum Radius Example

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Here is how the Velocity of Vehicle for Ruling Minimum Radius equation looks like with Values.

Here is how the Velocity of Vehicle for Ruling Minimum Radius equation looks like with Units.

Here is how the Velocity of Vehicle for Ruling Minimum Radius equation looks like.

24.1353 = \sqrt{270 \cdot 9.8066 \cdot (0.07 + 0.15)}

24.1353m/s = \sqrt{270m \cdot 9.8066m/s² \cdot (0.07 + 0.15)}

24.1353 = \sqrt{270 \cdot 9.8066 \cdot (0.07 + 0.15)}

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Velocity of Vehicle for Ruling Minimum Radius Solution

Follow our step by step solution on how to calculate Velocity of Vehicle for Ruling Minimum Radius?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v vehicle = \sqrt{270m \cdot [g] \cdot (0.07 + 0.15)}

Next Step Substitute values of Constants

∴

v vehicle = \sqrt{270m \cdot 9.8066m/s² \cdot (0.07 + 0.15)}

Next Step Prepare to Evaluate

∴

v vehicle = \sqrt{270 \cdot 9.8066 \cdot (0.07 + 0.15)}

Next Step Evaluate

∴

v vehicle = 24.1353477290053m/s

LAST Step Rounding Answer

∴

v vehicle = 24.1353m/s

Velocity of Vehicle for Ruling Minimum Radius Formula Elements

Variables

Constants

Functions

Velocity

Velocity is the rate of change of distance of the vehicle with respect to time.

Symbol: v_vehicle

Measurement: SpeedUnit: m/s

Note: Value should be between 0 to 500.

Formulas to find Velocity

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.

Symbol: R_ruling

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Ruling Minimum Radius

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.

Symbol: e

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Rate of Super Elevation

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.

Symbol: f_lateral

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Lateral Friction

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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 to find Velocity

Go Velocity of Vehicle for Psychological Widening

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

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 Velocity of Vehicle for Ruling Minimum Radius?

Velocity of Vehicle for Ruling Minimum Radius evaluator uses Velocity = sqrt(Ruling Minimum Radius*[g]*(Rate of Super Elevation+Coefficient of Lateral Friction)) to evaluate 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 evaluate Velocity of Vehicle for Ruling Minimum Radius using this online evaluator? To use this online evaluator 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.

FAQs on Velocity of Vehicle for Ruling Minimum Radius

What is the formula to find Velocity of Vehicle for Ruling Minimum Radius?

The formula of Velocity of Vehicle for Ruling Minimum Radius is expressed as Velocity = sqrt(Ruling Minimum Radius*[g]*(Rate of Super Elevation+Coefficient of Lateral Friction)). Here is an example- 24.13535 = sqrt(270*[g]*(0.07+0.15)).

How to calculate Velocity of Vehicle for Ruling Minimum Radius?

With Ruling Minimum Radius (R_ruling), Rate of Super Elevation (e) & Coefficient of Lateral Friction (f_lateral) we can find Velocity of Vehicle for Ruling Minimum Radius using the formula - Velocity = sqrt(Ruling Minimum Radius*[g]*(Rate of Super Elevation+Coefficient of Lateral Friction)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root Function function(s).

What are the other ways to Calculate Velocity?

Here are the different ways to Calculate Velocity-

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

Can the Velocity of Vehicle for Ruling Minimum Radius be negative?

No, the Velocity of Vehicle for Ruling Minimum Radius, measured in Speed cannot be negative.

Which unit is used to measure Velocity of Vehicle for Ruling Minimum Radius?

Velocity of Vehicle for Ruling Minimum Radius is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity of Vehicle for Ruling Minimum Radius can be measured.

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