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Rate of Change of Acceleration given Total Length of Valley Curve Formula

GoRate of Change of Acceleration Formula

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

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

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

Rate of Change of Acceleration given Total Length of Valley Curve Example

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Here is how the Rate of Change of Acceleration given Total Length of Valley Curve equation looks like with Values.

Here is how the Rate of Change of Acceleration given Total Length of Valley Curve equation looks like with Units.

Here is how the Rate of Change of Acceleration given Total Length of Valley Curve equation looks like.

1347.5 = {(\frac{7}{2})}^{2} \cdot 0.88 \cdot 5^{3}

1347.5m/s = {(\frac{7m}{2})}^{2} \cdot 0.88rad \cdot {5m/s}^{3}

1347.5 = {(\frac{7}{2})}^{2} \cdot 0.88 \cdot 5^{3}

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Rate of Change of Acceleration given Total Length of Valley Curve Solution

Follow our step by step solution on how to calculate Rate of Change of Acceleration given Total Length of Valley Curve?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C a = {(\frac{7m}{2})}^{2} \cdot 0.88rad \cdot {5m/s}^{3}

Next Step Prepare to Evaluate

∴

C a = {(\frac{7}{2})}^{2} \cdot 0.88 \cdot 5^{3}

LAST Step Evaluate

∴

C a = 1347.5m/s

Rate of Change of Acceleration given Total Length of Valley Curve Formula Elements

Variables

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

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

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

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 to find Rate of Change of Acceleration

Go Rate of Change of Acceleration

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

Other formulas in Design of Valley Curve category

Go Length of Valley Curve given Time and Design Speed

L s = v \cdot t

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 Rate of Change of Acceleration given Total Length of Valley Curve?

Rate of Change of Acceleration given Total Length of Valley Curve evaluator uses Rate of Change of Acceleration = (Length of Curve/2)^2*Deviation Angle*Design Speed^3 to evaluate the Rate of Change of Acceleration, The Rate of Change of Acceleration given Total Length of Valley Curve formula is defined as one-fourth of the square of the length of the curve, multiplied by the product of the deviation angle and the cube of the design speed. Rate of Change of Acceleration is denoted by C_a symbol.

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

FAQs on Rate of Change of Acceleration given Total Length of Valley Curve

What is the formula to find Rate of Change of Acceleration given Total Length of Valley Curve?

The formula of Rate of Change of Acceleration given Total Length of Valley Curve is expressed as Rate of Change of Acceleration = (Length of Curve/2)^2*Deviation Angle*Design Speed^3. Here is an example- 1347.5 = (7/2)^2*0.88*5^3.

How to calculate Rate of Change of Acceleration given Total Length of Valley Curve?

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

What are the other ways to Calculate Rate of Change of Acceleration?

Here are the different ways to Calculate Rate of Change of Acceleration-

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

Can the Rate of Change of Acceleration given Total Length of Valley Curve be negative?

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

Which unit is used to measure Rate of Change of Acceleration given Total Length of Valley Curve?

Rate of Change of Acceleration 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 Rate of Change of Acceleration given Total Length of Valley Curve can be measured.

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Rate of Change of Acceleration given Total Length of Valley Curve Formula

​GoRate of Change of Acceleration Formula

Rate of Change of Acceleration given Total Length of Valley Curve Example

Rate of Change of Acceleration given Total Length of Valley Curve Solution

Rate of Change of Acceleration given Total Length of Valley Curve Formula Elements

Other Formulas to find Rate of Change of Acceleration

Other formulas in Design of Valley Curve category

How to Evaluate Rate of Change of Acceleration given Total Length of Valley Curve?

FAQs on Rate of Change of Acceleration given Total Length of Valley Curve

Variable Name

GoRate of Change of Acceleration Formula