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Positive Grade Angle Given Sight Distance Formula

GoPositive Grade Angle with Deviation Angle Formula

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A positive grade angle indicates an upward slope. Check FAQs

n 1 = \frac{h 1}{S - \frac{L s}{2} - \frac{h 2}{n 2}}

n₁ - Positive Grade Angle?h₁ - Driver Sight Height?S - Sight Distance?L_s - Length of Curve?h₂ - The Height of The Obstruction?n₂ - Negative Grade Angle?

Positive Grade Angle Given Sight Distance Example

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Here is how the Positive Grade Angle Given Sight Distance equation looks like with Values.

Here is how the Positive Grade Angle Given Sight Distance equation looks like with Units.

Here is how the Positive Grade Angle Given Sight Distance equation looks like.

631.9387 = \frac{0.75}{3.56 - \frac{7}{2} - \frac{0.36}{-45}}

631.9387° = \frac{0.75m}{3.56m - \frac{7m}{2} - \frac{0.36m}{-45}}

631.9387 = \frac{0.75}{3.56 - \frac{7}{2} - \frac{0.36}{-45}}

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Positive Grade Angle Given Sight Distance Solution

Follow our step by step solution on how to calculate Positive Grade Angle Given Sight Distance?

FIRST Step Consider the formula

n 1 = \frac{h 1}{S - \frac{L s}{2} - \frac{h 2}{n 2}}

Next Step Substitute values of Variables

∴

n 1 = \frac{0.75m}{3.56m - \frac{7m}{2} - \frac{0.36m}{-45}}

Next Step Prepare to Evaluate

∴

n 1 = \frac{0.75}{3.56 - \frac{7}{2} - \frac{0.36}{-45}}

Next Step Evaluate

∴

n 1 = 11.0294117647059rad

Next Step Convert to Output's Unit

∴

n 1 = 631.938744629703°

LAST Step Rounding Answer

∴

n 1 = 631.9387°

Positive Grade Angle Given Sight Distance Formula Elements

Variables

Positive Grade Angle

A positive grade angle indicates an upward slope.

Symbol: n₁

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Positive Grade Angle

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

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

The Height of The Obstruction

The Height of The Obstruction refers to its vertical dimension, blocking a line of sight or path, often in transportation, construction or safety.

Symbol: h₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find The Height of The Obstruction

Negative Grade Angle

A negative grade angle indicates an incline slope.

Symbol: n₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Negative Grade Angle

Other Formulas to find Positive Grade Angle

Go Positive Grade Angle with Deviation Angle

n 1 = \frac{N \cdot \sqrt{h 1 \cdot h 2} - N \cdot h 1}{h 2 - h 1}

Other formulas in Length of Summit Curve with Grade Angles category

Go Height of Obstruction Given Angle Grades

h 2 = (S - \frac{L s}{2} - \frac{h 1}{n 1}) \cdot n 2

Go Driver Sight Height given Angle Grades

h 1 = \frac{L s}{2} + S \cdot n 1 + \frac{h 2}{n 2}

Go Length of Summit Curve Given Angle Grades

L s = S \cdot 2 + \frac{h 1}{n 1} + \frac{h 2}{n 2}

Go Negative Grade Angle Given Sight Distance

n 2 = \frac{h 2}{S - \frac{L s}{2} - \frac{h 1}{n 1}}

How to Evaluate Positive Grade Angle Given Sight Distance?

Positive Grade Angle Given Sight Distance evaluator uses Positive Grade Angle = Driver Sight Height/(Sight Distance-Length of Curve/2-The Height of The Obstruction/Negative Grade Angle) to evaluate the Positive Grade Angle, The Positive Grade Angle Given Sight Distance formula is defined as The driver's eye height divided by the difference between the sight distance minus half the length of the curve and the height of the obstruction divided by the negative grade angle. Positive Grade Angle is denoted by n₁ symbol.

How to evaluate Positive Grade Angle Given Sight Distance using this online evaluator? To use this online evaluator for Positive Grade Angle Given Sight Distance, enter Driver Sight Height (h₁), Sight Distance (S), Length of Curve (L_s), The Height of The Obstruction (h₂) & Negative Grade Angle (n₂) and hit the calculate button.

FAQs on Positive Grade Angle Given Sight Distance

What is the formula to find Positive Grade Angle Given Sight Distance?

The formula of Positive Grade Angle Given Sight Distance is expressed as Positive Grade Angle = Driver Sight Height/(Sight Distance-Length of Curve/2-The Height of The Obstruction/Negative Grade Angle). Here is an example- 36207.42 = 0.75/(3.56-7/2-0.36/(-45)).

How to calculate Positive Grade Angle Given Sight Distance?

With Driver Sight Height (h₁), Sight Distance (S), Length of Curve (L_s), The Height of The Obstruction (h₂) & Negative Grade Angle (n₂) we can find Positive Grade Angle Given Sight Distance using the formula - Positive Grade Angle = Driver Sight Height/(Sight Distance-Length of Curve/2-The Height of The Obstruction/Negative Grade Angle).

What are the other ways to Calculate Positive Grade Angle?

Here are the different ways to Calculate Positive Grade Angle-

Positive Grade Angle=(Deviation Angle*sqrt(Driver Sight Height*The Height of The Obstruction)-Deviation Angle*Driver Sight Height)/(The Height of The Obstruction-Driver Sight Height)

Can the Positive Grade Angle Given Sight Distance be negative?

No, the Positive Grade Angle Given Sight Distance, measured in Angle cannot be negative.

Which unit is used to measure Positive Grade Angle Given Sight Distance?

Positive Grade Angle Given Sight Distance is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Positive Grade Angle Given Sight Distance can be measured.

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Positive Grade Angle Given Sight Distance Formula

​GoPositive Grade Angle with Deviation Angle Formula

Positive Grade Angle Given Sight Distance Example

Positive Grade Angle Given Sight Distance Solution

Positive Grade Angle Given Sight Distance Formula Elements

Other Formulas to find Positive Grade Angle

Other formulas in Length of Summit Curve with Grade Angles category

How to Evaluate Positive Grade Angle Given Sight Distance?

FAQs on Positive Grade Angle Given Sight Distance

Variable Name

GoPositive Grade Angle with Deviation Angle Formula