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Deviation Angle given Total Length of Valley Curve Formula

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

N = {(\frac{L s}{2})}^{2} \cdot \frac{C a}{v^{3}}

N - Deviation Angle?L_s - Length of Curve?C_a - Rate of Change of Acceleration?v - Design Speed?

Deviation Angle given Total Length of Valley Curve Example

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Here is how the Deviation Angle given Total Length of Valley Curve equation looks like with Values.

Here is how the Deviation Angle given Total Length of Valley Curve equation looks like with Units.

Here is how the Deviation Angle given Total Length of Valley Curve equation looks like.

77.8559 = {(\frac{12.7188}{2})}^{2} \cdot \frac{4.2}{5^{3}}

77.8559° = {(\frac{12.7188m}{2})}^{2} \cdot \frac{4.2m/s}{{5m/s}^{3}}

77.8559 = {(\frac{12.7188}{2})}^{2} \cdot \frac{4.2}{5^{3}}

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Deviation Angle given Total Length of Valley Curve Solution

Follow our step by step solution on how to calculate Deviation Angle given Total Length of Valley Curve?

FIRST Step Consider the formula

N = {(\frac{L s}{2})}^{2} \cdot \frac{C a}{v^{3}}

Next Step Substitute values of Variables

∴

N = {(\frac{12.7188m}{2})}^{2} \cdot \frac{4.2m/s}{{5m/s}^{3}}

Next Step Prepare to Evaluate

∴

N = {(\frac{12.7188}{2})}^{2} \cdot \frac{4.2}{5^{3}}

Next Step Evaluate

∴

N = 1.35884158987584rad

Next Step Convert to Output's Unit

∴

N = 77.855888126747°

LAST Step Rounding Answer

∴

N = 77.8559°

Deviation Angle given Total Length of Valley Curve Formula Elements

Variables

Deviation Angle

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

Symbol: N

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Deviation Angle

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

Rate of Change of Acceleration

Rate of Change of Acceleration refers to how quickly the acceleration of an object changes over time.

Symbol: C_a

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Rate of Change of Acceleration

Design Speed

Design speed refers to the intended or planned operating speed for a particular section of a roadway or railway.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Design Speed

Other formulas in Design of Valley Curve category

Go Length of Valley Curve given Time and Design Speed

L s = v \cdot t

Go Rate of Change of Acceleration

C a = \frac{v^{3}}{L s \cdot R}

Go Radius of Curve given Length of Valley Curve

R = \frac{v^{3}}{L s \cdot C a}

Go Design Speed given Length of Valley Curve

v = {(L s \cdot R \cdot C a)}^{\frac{1}{3}}

How to Evaluate Deviation Angle given Total Length of Valley Curve?

Deviation Angle given Total Length of Valley Curve evaluator uses Deviation Angle = (Length of Curve/2)^2*Rate of Change of Acceleration/Design Speed^3 to evaluate the Deviation Angle, The Deviation Angle given Total Length of Valley Curve formula is defined as one-fourth of the square of the length of the curve divided by the rate of change of acceleration, all divided by the cube of the design speed. Deviation Angle is denoted by N symbol.

How to evaluate Deviation Angle given Total Length of Valley Curve using this online evaluator? To use this online evaluator for Deviation Angle given Total Length of Valley Curve, enter Length of Curve (L_s), Rate of Change of Acceleration (C_a) & Design Speed (v) and hit the calculate button.

FAQs on Deviation Angle given Total Length of Valley Curve

What is the formula to find Deviation Angle given Total Length of Valley Curve?

The formula of Deviation Angle given Total Length of Valley Curve is expressed as Deviation Angle = (Length of Curve/2)^2*Rate of Change of Acceleration/Design Speed^3. Here is an example- 4460.814 = (12.71876/2)^2*4.2/5^3.

How to calculate Deviation Angle given Total Length of Valley Curve?

With Length of Curve (L_s), Rate of Change of Acceleration (C_a) & Design Speed (v) we can find Deviation Angle given Total Length of Valley Curve using the formula - Deviation Angle = (Length of Curve/2)^2*Rate of Change of Acceleration/Design Speed^3.

Can the Deviation Angle given Total Length of Valley Curve be negative?

No, the Deviation Angle given Total Length of Valley Curve, measured in Angle cannot be negative.

Which unit is used to measure Deviation Angle given Total Length of Valley Curve?

Deviation Angle given Total Length of Valley Curve is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Deviation Angle given Total Length of Valley Curve can be measured.

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Deviation Angle given Total Length of Valley Curve Formula

Deviation Angle given Total Length of Valley Curve Example

Deviation Angle given Total Length of Valley Curve Solution

Deviation Angle given Total Length of Valley Curve Formula Elements

Other formulas in Design of Valley Curve category

How to Evaluate Deviation Angle given Total Length of Valley Curve?

FAQs on Deviation Angle given Total Length of Valley Curve

Variable Name