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Length of Valley Curve given Time and Design Speed Formula

GoLength of Valley Curve Formula

GoTotal Length of Valley Curve Formula

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Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave. Check FAQs

L s = v \cdot t

L_s - Length of Curve?v - Design Speed?t - Time?

Length of Valley Curve given Time and Design Speed Example

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

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

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

20 = 5 \cdot 4

20m = 5m/s \cdot 4s

20 = 5 \cdot 4

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Length of Valley Curve given Time and Design Speed Solution

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

FIRST Step Consider the formula

L s = v \cdot t

Next Step Substitute values of Variables

∴

L s = 5m/s \cdot 4s

Next Step Prepare to Evaluate

∴

L s = 5 \cdot 4

LAST Step Evaluate

∴

L s = 20m

Length of Valley Curve given Time and Design Speed Formula Elements

Variables

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

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

Time

The time it takes for a vehicle or object to traverse the length of the valley curve while experiencing a specific rate of change of acceleration.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time

Other Formulas to find Length of Curve

Go Length of Valley Curve

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

Go Total Length of Valley Curve

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

Other formulas in Design of Valley Curve category

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}}

Go Time given Rate of Change of Acceleration

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

How to Evaluate Length of Valley Curve given Time and Design Speed?

Length of Valley Curve given Time and Design Speed evaluator uses Length of Curve = Design Speed*Time to evaluate the Length of Curve, Length of Valley Curve given Time and Design Speed formula is defined as the product of Design Speed and Time. Length of Curve is denoted by L_s symbol.

How to evaluate Length of Valley Curve given Time and Design Speed using this online evaluator? To use this online evaluator for Length of Valley Curve given Time and Design Speed, enter Design Speed (v) & Time (t) and hit the calculate button.

FAQs on Length of Valley Curve given Time and Design Speed

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

The formula of Length of Valley Curve given Time and Design Speed is expressed as Length of Curve = Design Speed*Time. Here is an example- 40 = 5*4.

How to calculate Length of Valley Curve given Time and Design Speed?

With Design Speed (v) & Time (t) we can find Length of Valley Curve given Time and Design Speed using the formula - Length of Curve = Design Speed*Time.

What are the other ways to Calculate Length of Curve?

Here are the different ways to Calculate Length of Curve-

Length of Curve=(Design Speed^3)/(Radius of Curve*Rate of Change of Acceleration)
Length of Curve=2*sqrt((Deviation Angle*Design Speed^3)/Rate of Change of Acceleration)

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

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

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

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

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Length of Valley Curve given Time and Design Speed Formula

​GoLength of Valley Curve Formula

​GoTotal Length of Valley Curve Formula

Length of Valley Curve given Time and Design Speed Example

Length of Valley Curve given Time and Design Speed Solution

Length of Valley Curve given Time and Design Speed Formula Elements

Other Formulas to find Length of Curve

Other formulas in Design of Valley Curve category

How to Evaluate Length of Valley Curve given Time and Design Speed?

FAQs on Length of Valley Curve given Time and Design Speed

Variable Name

GoLength of Valley Curve Formula

GoTotal Length of Valley Curve Formula