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Design Speed given Length of Valley Curve Formula

GoDesign Speed given Length of Valley Curve and Time Formula

GoDesign Speed given Total Length of Valley Curve 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 = {(L s \cdot R \cdot C a)}^{\frac{1}{3}}

v - Design Speed?L_s - Length of Curve?R - Radius of Curve?C_a - Rate of Change of Acceleration?

Design Speed given Length of Valley Curve Example

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

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

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

4.0975 = {(7 \cdot 2.34 \cdot 4.2)}^{\frac{1}{3}}

4.0975m/s = {(7m \cdot 2.34m \cdot 4.2m/s)}^{\frac{1}{3}}

4.0975 = {(7 \cdot 2.34 \cdot 4.2)}^{\frac{1}{3}}

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Design Speed given Length of Valley Curve Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v = {(7m \cdot 2.34m \cdot 4.2m/s)}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

v = {(7 \cdot 2.34 \cdot 4.2)}^{\frac{1}{3}}

Next Step Evaluate

∴

v = 4.09751981665974m/s

LAST Step Rounding Answer

∴

v = 4.0975m/s

Design Speed given 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

Radius of Curve

Radius of Curve typically represents the minimum radius of the curve.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius 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

Other Formulas to find Design Speed

Go Design Speed given Length of Valley Curve and Time

v = \frac{L s}{t}

Go Design Speed given Total Length of Valley Curve

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

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 Length of Valley Curve?

Design Speed given Length of Valley Curve evaluator uses Design Speed = (Length of Curve*Radius of Curve*Rate of Change of Acceleration)^(1/3) to evaluate the Design Speed, Design Speed given Length of Valley Curve formula is defined as the cube root of the product of the length of a curve in a valley, the radius of the curve, and the rate of change of acceleration. Design Speed is denoted by v symbol.

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

FAQs on Design Speed given Length of Valley Curve

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

The formula of Design Speed given Length of Valley Curve is expressed as Design Speed = (Length of Curve*Radius of Curve*Rate of Change of Acceleration)^(1/3). Here is an example- 5.394645 = (7*2.34*4.2)^(1/3).

How to calculate Design Speed given Length of Valley Curve?

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

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

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

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

Design Speed given 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 Length of Valley Curve can be measured.

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Design Speed given Length of Valley Curve Formula

​GoDesign Speed given Length of Valley Curve and Time Formula

​GoDesign Speed given Total Length of Valley Curve Formula

Design Speed given Length of Valley Curve Example

Design Speed given Length of Valley Curve Solution

Design Speed given 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 Length of Valley Curve?

FAQs on Design Speed given Length of Valley Curve

Variable Name

GoDesign Speed given Length of Valley Curve and Time Formula

GoDesign Speed given Total Length of Valley Curve Formula