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Allowable Speed of Vehicle in Horizontal Curve Formula

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Allowable Speed is the maximum speed at which a vehicle can safely travel on a curved section of road with a given superelevation design. Check FAQs

v a = \sqrt{0.22 \cdot [g] \cdot R mean}

v_a - Allowable Speed?R_mean - Mean Radius of Curve?[g] - Gravitational acceleration on Earth?

Allowable Speed of Vehicle in Horizontal Curve Example

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Here is how the Allowable Speed of Vehicle in Horizontal Curve equation looks like with Values.

Here is how the Allowable Speed of Vehicle in Horizontal Curve equation looks like with Units.

Here is how the Allowable Speed of Vehicle in Horizontal Curve equation looks like.

27.0839 = \sqrt{0.22 \cdot 9.8066 \cdot 340}

27.0839m/s = \sqrt{0.22 \cdot 9.8066m/s² \cdot 340m}

27.0839 = \sqrt{0.22 \cdot 9.8066 \cdot 340}

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Allowable Speed of Vehicle in Horizontal Curve Solution

Follow our step by step solution on how to calculate Allowable Speed of Vehicle in Horizontal Curve?

FIRST Step Consider the formula

v a = \sqrt{0.22 \cdot [g] \cdot R mean}

Next Step Substitute values of Variables

∴

v a = \sqrt{0.22 \cdot [g] \cdot 340m}

Next Step Substitute values of Constants

∴

v a = \sqrt{0.22 \cdot 9.8066m/s² \cdot 340m}

Next Step Prepare to Evaluate

∴

v a = \sqrt{0.22 \cdot 9.8066 \cdot 340}

Next Step Evaluate

∴

v a = 27.0838959531305m/s

LAST Step Rounding Answer

∴

v a = 27.0839m/s

Allowable Speed of Vehicle in Horizontal Curve Formula Elements

Variables

Constants

Functions

Allowable Speed

Allowable Speed is the maximum speed at which a vehicle can safely travel on a curved section of road with a given superelevation design.

Symbol: v_a

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Allowable Speed

Mean Radius of Curve

Mean Radius of Curve is the average radius of a curve section in road design, used to calculate superelevation and widening of the road.

Symbol: R_mean

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mean Radius of Curve

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 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 Allowable Speed of Vehicle in Horizontal Curve?

Allowable Speed of Vehicle in Horizontal Curve evaluator uses Allowable Speed = sqrt(0.22*[g]*Mean Radius of Curve) to evaluate the Allowable Speed, The Allowable Speed of Vehicle in Horizontal Curve formula is defined as the speed allowable in unit time of vehicle. Allowable Speed is denoted by v_a symbol.

How to evaluate Allowable Speed of Vehicle in Horizontal Curve using this online evaluator? To use this online evaluator for Allowable Speed of Vehicle in Horizontal Curve, enter Mean Radius of Curve (R_mean) and hit the calculate button.

FAQs on Allowable Speed of Vehicle in Horizontal Curve

What is the formula to find Allowable Speed of Vehicle in Horizontal Curve?

The formula of Allowable Speed of Vehicle in Horizontal Curve is expressed as Allowable Speed = sqrt(0.22*[g]*Mean Radius of Curve). Here is an example- 8.045116 = sqrt(0.22*[g]*340).

How to calculate Allowable Speed of Vehicle in Horizontal Curve?

With Mean Radius of Curve (R_mean) we can find Allowable Speed of Vehicle in Horizontal Curve using the formula - Allowable Speed = sqrt(0.22*[g]*Mean Radius of Curve). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

Can the Allowable Speed of Vehicle in Horizontal Curve be negative?

No, the Allowable Speed of Vehicle in Horizontal Curve, measured in Speed cannot be negative.

Which unit is used to measure Allowable Speed of Vehicle in Horizontal Curve?

Allowable Speed of Vehicle in Horizontal Curve 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 Allowable Speed of Vehicle in Horizontal Curve can be measured.

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