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Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance Formula

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Driver Sight Height refers to the vertical distance between the driver's eye level and the road surface while seated in a vehicle. Check FAQs

h 1 = \frac{N \cdot S^{2} - 2 \cdot L s \cdot S \cdot \tan (α angle)}{2 \cdot L s}

h₁ - Driver Sight Height?N - Deviation Angle?S - Sight Distance?L_s - Length of Curve?α_angle - Inclination?

Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance Example

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Here is how the Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance equation looks like with Values.

Here is how the Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance equation looks like with Units.

Here is how the Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance equation looks like.

0.6723 = \frac{0.88 \cdot {3.56}^{2} - 2 \cdot 7 \cdot 3.56 \cdot \tan (2)}{2 \cdot 7}

0.6723m = \frac{0.88rad \cdot {3.56m}^{2} - 2 \cdot 7m \cdot 3.56m \cdot \tan (2°)}{2 \cdot 7m}

0.6723 = \frac{0.88 \cdot {3.56}^{2} - 2 \cdot 7 \cdot 3.56 \cdot \tan (2)}{2 \cdot 7}

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Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance Solution

Follow our step by step solution on how to calculate Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance?

FIRST Step Consider the formula

h 1 = \frac{N \cdot S^{2} - 2 \cdot L s \cdot S \cdot \tan (α angle)}{2 \cdot L s}

Next Step Substitute values of Variables

∴

h 1 = \frac{0.88rad \cdot {3.56m}^{2} - 2 \cdot 7m \cdot 3.56m \cdot \tan (2°)}{2 \cdot 7m}

Next Step Convert Units

∴

h 1 = \frac{0.88rad \cdot {3.56m}^{2} - 2 \cdot 7m \cdot 3.56m \cdot \tan (0.0349rad)}{2 \cdot 7m}

Next Step Prepare to Evaluate

∴

h 1 = \frac{0.88 \cdot {3.56}^{2} - 2 \cdot 7 \cdot 3.56 \cdot \tan (0.0349)}{2 \cdot 7}

Next Step Evaluate

∴

h 1 = 0.672308346323687m

LAST Step Rounding Answer

∴

h 1 = 0.6723m

Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance Formula Elements

Variables

Functions

Driver Sight Height

Driver Sight Height refers to the vertical distance between the driver's eye level and the road surface while seated in a vehicle.

Symbol: h₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Driver Sight Height

Deviation Angle

Deviation Angle is the angle between the reference direction and the observed direction.

Symbol: N

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Deviation Angle

Sight Distance

Sight Distance is s the minimum distance between two vehicles moving along a curve, when the driver of one vehicle can just see the other vehicle on the road.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Sight Distance

Length of Curve

Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave.

Symbol: L_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Curve

Inclination

Inclination refers to the angle or slope of an object or surface concerning the horizontal plane.

Symbol: α_angle

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Inclination

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other formulas in Length of Valley Curve greater than Stopping Sight Distance category

Go Length of Valley Curve Greater than Stopping Sight Distance

L s = \frac{N \cdot S^{2}}{2 \cdot h 1 + 2 \cdot S \cdot \tan (α angle)}

Go Inclination Angle given Length of Valley Curve Greater than Stopping Sight Distance

α angle = a \tan (\frac{N \cdot S^{2} - 2 \cdot h 1}{2 \cdot S \cdot L s})

Go Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance

N = \frac{L s \cdot (2 \cdot h 1 + 2 \cdot S \cdot \tan (α angle))}{S^{2}}

How to Evaluate Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance?

Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance evaluator uses Driver Sight Height = (Deviation Angle*Sight Distance^2-2*Length of Curve*Sight Distance*tan(Inclination))/(2*Length of Curve) to evaluate the Driver Sight Height, Driver Eye Height given Length of valley curve greater than stopping sight distance formula is defined as the difference between the product of the deviation angle and the square of the sight distance minus twice the product of the curve length, the sight distance, and the tangent of the inclination, all divided by twice the curve length. Driver Sight Height is denoted by h₁ symbol.

How to evaluate Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance using this online evaluator? To use this online evaluator for Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance, enter Deviation Angle (N), Sight Distance (S), Length of Curve (L_s) & Inclination (α_angle) and hit the calculate button.

FAQs on Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance

What is the formula to find Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance?

The formula of Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance is expressed as Driver Sight Height = (Deviation Angle*Sight Distance^2-2*Length of Curve*Sight Distance*tan(Inclination))/(2*Length of Curve). Here is an example- 0.672308 = (0.88*3.56^2-2*7*3.56*tan(0.03490658503988))/(2*7).

How to calculate Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance?

With Deviation Angle (N), Sight Distance (S), Length of Curve (L_s) & Inclination (α_angle) we can find Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance using the formula - Driver Sight Height = (Deviation Angle*Sight Distance^2-2*Length of Curve*Sight Distance*tan(Inclination))/(2*Length of Curve). This formula also uses Tangent (tan) function(s).

Can the Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance be negative?

No, the Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance, measured in Length cannot be negative.

Which unit is used to measure Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance?

Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance can be measured.

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Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance Formula

Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance Example

Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance Solution

Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance Formula Elements

Other formulas in Length of Valley Curve greater than Stopping Sight Distance category

How to Evaluate Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance?

FAQs on Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance

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