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

✖Deviation Angle is the angle between the reference direction and the observed direction.ⓘ Deviation Angle [N]			+10% -10%
✖Design speed refers to the intended or planned operating speed for a particular section of a roadway or railway.ⓘ Design Speed [v]			+10% -10%
✖Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave.ⓘ Length of Curve [L_s]			+10% -10%

✖Rate of Change of Acceleration refers to how quickly the acceleration of an object changes over time.ⓘ Rate of Change of Acceleration given Total Length of Valley Curve [C_a]

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

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Change of Acceleration = (4*Deviation Angle*Design Speed^3)/(Length of Curve)^2
C_a = (4*N*v^3)/(L_s)^2
This formula uses 4 Variables

Variables Used

Rate of Change of Acceleration - (Measured in Meter per Second) - Rate of Change of Acceleration refers to how quickly the acceleration of an object changes over time.
Deviation Angle - (Measured in Radian) - Deviation Angle is the angle between the reference direction and the observed direction.
Design Speed - (Measured in Meter per Second) - Design speed refers to the intended or planned operating speed for a particular section of a roadway or railway.
Length of Curve - (Measured in Meter) - Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave.

STEP 1: Convert Input(s) to Base Unit

Deviation Angle: 77.85589 Degree --> 1.35884162257027 Radian (Check conversion here)
Design Speed: 5 Meter per Second --> 5 Meter per Second No Conversion Required
Length of Curve: 12.71876 Meter --> 12.71876 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_a = (4*N*v^3)/(L_s)^2 --> (4*1.35884162257027*5^3)/(12.71876)^2

Evaluating ... ...

C_a = 4.20000010105417

STEP 3: Convert Result to Output's Unit

4.20000010105417 Meter per Second --> No Conversion Required

FINAL ANSWER

4.20000010105417 ≈ 4.2 Meter per Second <-- Rate of Change of Acceleration

(Calculation completed in 00.007 seconds)

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Home » Physics » Transportation System » Vertical alignment » Length of Valley Curve » Mechanical » Design of Valley Curve » Rate of Change of Acceleration given Total Length of Valley Curve

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< Design of Valley Curve Calculators

Design Speed given Length of Valley Curve

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

Radius of Curve given Length of Valley Curve

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

Rate of Change of Acceleration

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

Length of Valley Curve given Time and Design Speed

LaTeX Go Length of Curve = Design Speed*Time

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

LaTeX Go

Rate of Change of Acceleration = (4*Deviation Angle*Design Speed^3)/(Length of Curve)^2
C_a = (4*N*v^3)/(L_s)^2

Difference between Length of Valley Curve and Total Length of Valley Curve

"Length of Valley Curve" refers to the curve segment itself, while "Total Length of Valley Curve" includes the approach and departure sections, providing a comprehensive view of the entire transition.

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

Rate of Change of Acceleration given Total Length of Valley Curve calculator uses Rate of Change of Acceleration = (4*Deviation Angle*Design Speed^3)/(Length of Curve)^2 to calculate 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 calculate Rate of Change of Acceleration given Total Length of Valley Curve using this online calculator? To use this online calculator for Rate of Change of Acceleration given Total Length of Valley Curve, enter Deviation Angle (N), Design Speed (v) & Length of Curve (L_s) and hit the calculate button. Here is how the Rate of Change of Acceleration given Total Length of Valley Curve calculation can be explained with given input values -> 4.2 = (4*1.35884162257027*5^3)/(12.71876)^2.

FAQ

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

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 and is represented as C_a = (4*N*v^3)/(L_s)^2 or Rate of Change of Acceleration = (4*Deviation Angle*Design Speed^3)/(Length of Curve)^2. Deviation Angle is the angle between the reference direction and the observed direction, Design speed refers to the intended or planned operating speed for a particular section of a roadway or railway & Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave.

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

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 is calculated using Rate of Change of Acceleration = (4*Deviation Angle*Design Speed^3)/(Length of Curve)^2. To calculate Rate of Change of Acceleration given Total Length of Valley Curve, you need Deviation Angle (N), Design Speed (v) & Length of Curve (L_s). With our tool, you need to enter the respective value for Deviation Angle, Design Speed & Length of Curve and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Rate of Change of Acceleration?

In this formula, Rate of Change of Acceleration uses Deviation Angle, Design Speed & Length of Curve. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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