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Radius of Curve given Length of Valley Curve Formula

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

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

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

Radius of Curve given Length of Valley Curve Example

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

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

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

4.2517 = \frac{5^{3}}{7 \cdot 4.2}

4.2517m = \frac{{5m/s}^{3}}{7m \cdot 4.2m/s}

4.2517 = \frac{5^{3}}{7 \cdot 4.2}

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Radius of Curve given Length of Valley Curve Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R = \frac{{5m/s}^{3}}{7m \cdot 4.2m/s}

Next Step Prepare to Evaluate

∴

R = \frac{5^{3}}{7 \cdot 4.2}

Next Step Evaluate

∴

R = 4.25170068027211m

LAST Step Rounding Answer

∴

R = 4.2517m

Radius of Curve given Length of Valley Curve Formula Elements

Variables

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

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

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 Design Speed given Length of Valley Curve

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

Go Time given Rate of Change of Acceleration

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

How to Evaluate Radius of Curve given Length of Valley Curve?

Radius of Curve given Length of Valley Curve evaluator uses Radius of Curve = (Design Speed^3)/(Length of Curve*Rate of Change of Acceleration) to evaluate the Radius of Curve, Radius of Curve given Length of Valley Curve formula is defined as as the cube of the design speed and dividing it by the product of the length of the curve and the rate of change of acceleration. Radius of Curve is denoted by R symbol.

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

FAQs on Radius of Curve given Length of Valley Curve

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

The formula of Radius of Curve given Length of Valley Curve is expressed as Radius of Curve = (Design Speed^3)/(Length of Curve*Rate of Change of Acceleration). Here is an example- 4.251701 = (5^3)/(7*4.2).

How to calculate Radius of Curve given Length of Valley Curve?

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

Can the Radius of Curve given Length of Valley Curve be negative?

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

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

Radius of Curve given Length of Valley Curve is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of Curve given Length of Valley Curve can be measured.

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Radius of Curve given Length of Valley Curve Formula

Radius of Curve given Length of Valley Curve Example

Radius of Curve given Length of Valley Curve Solution

Radius of Curve given Length of Valley Curve Formula Elements

Other formulas in Design of Valley Curve category

How to Evaluate Radius of Curve given Length of Valley Curve?

FAQs on Radius of Curve given Length of Valley Curve

Variable Name