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Deviation Angle with Positive Grade Angle Formula

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

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

N - Deviation Angle?n₁ - Positive Grade Angle?h₂ - The Height of The Obstruction?h₁ - Driver Sight Height?

Deviation Angle with Positive Grade Angle Example

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Here is how the Deviation Angle with Positive Grade Angle equation looks like with Values.

Here is how the Deviation Angle with Positive Grade Angle equation looks like with Units.

Here is how the Deviation Angle with Positive Grade Angle equation looks like.

1.3295 = \frac{45 \cdot (0.36 - 0.75)}{\sqrt{0.75 \cdot 0.36} - 0.75}

1.3295rad = \frac{45° \cdot (0.36m - 0.75m)}{\sqrt{0.75m \cdot 0.36m} - 0.75m}

1.3295 = \frac{45 \cdot (0.36 - 0.75)}{\sqrt{0.75 \cdot 0.36} - 0.75}

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Deviation Angle with Positive Grade Angle Solution

Follow our step by step solution on how to calculate Deviation Angle with Positive Grade Angle?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N = \frac{45° \cdot (0.36m - 0.75m)}{\sqrt{0.75m \cdot 0.36m} - 0.75m}

Next Step Convert Units

∴

N = \frac{0.7854rad \cdot (0.36m - 0.75m)}{\sqrt{0.75m \cdot 0.36m} - 0.75m}

Next Step Prepare to Evaluate

∴

N = \frac{0.7854 \cdot (0.36 - 0.75)}{\sqrt{0.75 \cdot 0.36} - 0.75}

Next Step Evaluate

∴

N = 1.32953797266746rad

LAST Step Rounding Answer

∴

N = 1.3295rad

Deviation Angle with Positive Grade Angle Formula Elements

Variables

Functions

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

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

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

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

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 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 Deviation Angle with Positive Grade Angle?

Deviation Angle with Positive Grade Angle evaluator uses Deviation Angle = (Positive Grade Angle*(The Height of The Obstruction-Driver Sight Height))/(sqrt(Driver Sight Height*The Height of The Obstruction)-Driver Sight Height) to evaluate the Deviation Angle, The Deviation Angle with Positive Grade Angle formula is defined as the positive grade angle multiplied by the difference between the height of the obstruction and the driver's eye height, divided by the square root of the product of the driver's eye height and the height of the obstruction, minus the driver's eye height. Deviation Angle is denoted by N symbol.

How to evaluate Deviation Angle with Positive Grade Angle using this online evaluator? To use this online evaluator for Deviation Angle with Positive Grade Angle, enter Positive Grade Angle (n₁), The Height of The Obstruction (h₂) & Driver Sight Height (h₁) and hit the calculate button.

FAQs on Deviation Angle with Positive Grade Angle

What is the formula to find Deviation Angle with Positive Grade Angle?

The formula of Deviation Angle with Positive Grade Angle is expressed as Deviation Angle = (Positive Grade Angle*(The Height of The Obstruction-Driver Sight Height))/(sqrt(Driver Sight Height*The Height of The Obstruction)-Driver Sight Height). Here is an example- 1.329538 = (0.785398163397301*(0.36-0.75))/(sqrt(0.75*0.36)-0.75).

How to calculate Deviation Angle with Positive Grade Angle?

With Positive Grade Angle (n₁), The Height of The Obstruction (h₂) & Driver Sight Height (h₁) we can find Deviation Angle with Positive Grade Angle using the formula - Deviation Angle = (Positive Grade Angle*(The Height of The Obstruction-Driver Sight Height))/(sqrt(Driver Sight Height*The Height of The Obstruction)-Driver Sight Height). This formula also uses Square Root (sqrt) function(s).

Can the Deviation Angle with Positive Grade Angle be negative?

No, the Deviation Angle with Positive Grade Angle, measured in Angle cannot be negative.

Which unit is used to measure Deviation Angle with Positive Grade Angle?

Deviation Angle with Positive Grade Angle is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Deviation Angle with Positive Grade Angle can be measured.

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Deviation Angle with Positive Grade Angle Formula

Deviation Angle with Positive Grade Angle Example

Deviation Angle with Positive Grade Angle Solution

Deviation Angle with Positive Grade Angle Formula Elements

Other formulas in Length of Summit Curve with Grade Angles category

How to Evaluate Deviation Angle with Positive Grade Angle?

FAQs on Deviation Angle with Positive Grade Angle

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