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Psychological Widening at Horizontal Curves Formula

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Psychological Widening at Horizontal Curves is the widening of the pavement at horizontal curves to provide a comfortable and safe driving experience. Check FAQs

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

W_ps - Psychological Widening at Horizontal Curves?v_vehicle - Velocity?R_mean - Mean Radius of Curve?

Psychological Widening at Horizontal Curves Example

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Here is how the Psychological Widening at Horizontal Curves equation looks like with Values.

Here is how the Psychological Widening at Horizontal Curves equation looks like with Units.

Here is how the Psychological Widening at Horizontal Curves equation looks like.

0.5799 = \frac{28.23}{2.64 \cdot \sqrt{340}}

0.5799m = \frac{28.23m/s}{2.64 \cdot \sqrt{340m}}

0.5799 = \frac{28.23}{2.64 \cdot \sqrt{340}}

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Psychological Widening at Horizontal Curves Solution

Follow our step by step solution on how to calculate Psychological Widening at Horizontal Curves?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W ps = \frac{28.23m/s}{2.64 \cdot \sqrt{340m}}

Next Step Prepare to Evaluate

∴

W ps = \frac{28.23}{2.64 \cdot \sqrt{340}}

Next Step Evaluate

∴

W ps = 0.579919206839078m

LAST Step Rounding Answer

∴

W ps = 0.5799m

Psychological Widening at Horizontal Curves Formula Elements

Variables

Functions

Psychological Widening at Horizontal Curves

Psychological Widening at Horizontal Curves is the widening of the pavement at horizontal curves to provide a comfortable and safe driving experience.

Symbol: W_ps

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Psychological Widening at Horizontal Curves

Velocity

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.

Symbol: v_vehicle

Measurement: SpeedUnit: m/s

Note: Value should be between 0 to 500.

Formulas to find Velocity

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

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 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)}

Go Radius of Outer Track Line of Rear Wheel

R 1 = \sqrt{{R 2}^{2} - {l fr}^{2}}

How to Evaluate Psychological Widening at Horizontal Curves?

Psychological Widening at Horizontal Curves evaluator uses Psychological Widening at Horizontal Curves = Velocity/(2.64*sqrt(Mean Radius of Curve)) to evaluate the Psychological Widening at Horizontal Curves, Psychological Widening at Horizontal Curves is needed where vehicles need more width to cross or overtake an other vehicle on the horizontal curve than straight path. Psychological Widening at Horizontal Curves is denoted by W_ps symbol.

How to evaluate Psychological Widening at Horizontal Curves using this online evaluator? To use this online evaluator for Psychological Widening at Horizontal Curves, enter Velocity (v_vehicle) & Mean Radius of Curve (R_mean) and hit the calculate button.

FAQs on Psychological Widening at Horizontal Curves

What is the formula to find Psychological Widening at Horizontal Curves?

The formula of Psychological Widening at Horizontal Curves is expressed as Psychological Widening at Horizontal Curves = Velocity/(2.64*sqrt(Mean Radius of Curve)). Here is an example- 0.579919 = 28.23/(2.64*sqrt(340)).

How to calculate Psychological Widening at Horizontal Curves?

With Velocity (v_vehicle) & Mean Radius of Curve (R_mean) we can find Psychological Widening at Horizontal Curves using the formula - Psychological Widening at Horizontal Curves = Velocity/(2.64*sqrt(Mean Radius of Curve)). This formula also uses Square Root (sqrt) function(s).

Can the Psychological Widening at Horizontal Curves be negative?

No, the Psychological Widening at Horizontal Curves, measured in Length cannot be negative.

Which unit is used to measure Psychological Widening at Horizontal Curves?

Psychological Widening at Horizontal Curves is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Psychological Widening at Horizontal Curves can be measured.

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