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Design Speed given Total Length of Valley Curve Formula

GoDesign Speed given Length of Valley Curve Formula

GoDesign Speed given Length of Valley Curve and Time Formula

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

v = {({(\frac{L s}{2})}^{2} \cdot \frac{C a}{N})}^{\frac{1}{3}}

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

Design Speed given Total Length of Valley Curve Example

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

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

Here is how the Design Speed given Total Length of Valley Curve equation looks like.

3.8812 = {({(\frac{7}{2})}^{2} \cdot \frac{4.2}{0.88})}^{\frac{1}{3}}

3.8812m/s = {({(\frac{7m}{2})}^{2} \cdot \frac{4.2m/s}{0.88rad})}^{\frac{1}{3}}

3.8812 = {({(\frac{7}{2})}^{2} \cdot \frac{4.2}{0.88})}^{\frac{1}{3}}

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Design Speed given Total Length of Valley Curve Solution

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

FIRST Step Consider the formula

v = {({(\frac{L s}{2})}^{2} \cdot \frac{C a}{N})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

v = {({(\frac{7m}{2})}^{2} \cdot \frac{4.2m/s}{0.88rad})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

v = {({(\frac{7}{2})}^{2} \cdot \frac{4.2}{0.88})}^{\frac{1}{3}}

Next Step Evaluate

∴

v = 3.88121381875636m/s

LAST Step Rounding Answer

∴

v = 3.8812m/s

Design Speed given Total Length of Valley Curve Formula Elements

Variables

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

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

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

Other Formulas to find Design Speed

Go Design Speed given Length of Valley Curve

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

Go Design Speed given Length of Valley Curve and Time

v = \frac{L s}{t}

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 Time given Rate of Change of Acceleration

t = \frac{\frac{v^{2}}{R}}{C a}

How to Evaluate Design Speed given Total Length of Valley Curve?

Design Speed given Total Length of Valley Curve evaluator uses Design Speed = ((Length of Curve/2)^2*Rate of Change of Acceleration/Deviation Angle)^(1/3) to evaluate the Design Speed, The Design Speed given Total Length of Valley Curve formula is defined as by taking the cube root of one-fourth of the square of the length of the curve, multiplied by the rate of change of acceleration, and then dividing by the deviation angle. Design Speed is denoted by v symbol.

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

FAQs on Design Speed given Total Length of Valley Curve

What is the formula to find Design Speed given Total Length of Valley Curve?

The formula of Design Speed given Total Length of Valley Curve is expressed as Design Speed = ((Length of Curve/2)^2*Rate of Change of Acceleration/Deviation Angle)^(1/3). Here is an example- 3.881214 = ((7/2)^2*4.2/0.88)^(1/3).

How to calculate Design Speed given Total Length of Valley Curve?

With Length of Curve (L_s), Rate of Change of Acceleration (C_a) & Deviation Angle (N) we can find Design Speed given Total Length of Valley Curve using the formula - Design Speed = ((Length of Curve/2)^2*Rate of Change of Acceleration/Deviation Angle)^(1/3).

What are the other ways to Calculate Design Speed?

Here are the different ways to Calculate Design Speed-

Design Speed=(Length of Curve*Radius of Curve*Rate of Change of Acceleration)^(1/3)
Design Speed=Length of Curve/Time

Can the Design Speed given Total Length of Valley Curve be negative?

No, the Design Speed given Total Length of Valley Curve, measured in Speed cannot be negative.

Which unit is used to measure Design Speed given Total Length of Valley Curve?

Design Speed given Total Length of Valley Curve is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Design Speed given Total Length of Valley Curve can be measured.

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Design Speed given Total Length of Valley Curve Formula

​GoDesign Speed given Length of Valley Curve Formula

​GoDesign Speed given Length of Valley Curve and Time Formula

Design Speed given Total Length of Valley Curve Example

Design Speed given Total Length of Valley Curve Solution

Design Speed given Total Length of Valley Curve Formula Elements

Other Formulas to find Design Speed

Other formulas in Design of Valley Curve category

How to Evaluate Design Speed given Total Length of Valley Curve?

FAQs on Design Speed given Total Length of Valley Curve

Variable Name

GoDesign Speed given Length of Valley Curve Formula

GoDesign Speed given Length of Valley Curve and Time Formula