Rate of Change of Acceleration Calculator

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Vertical alignment

Design of Transition Curves and Setback Distances

Design of Superelevation

Marshall Mix Design

Pavement Materials

Sight Distance

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Length of Valley Curve

Length of Summit Curve greater than Sight Distance

Length of Summit Curve Less than Sight Distance

Length of Summit Curve with Grade Angles

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Design of Valley Curve

Length of Valley Curve greater than Stopping Sight Distance

Length of Valley Curve Less than Stopping Sight Distance

✖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%
✖Radius of Curve typically represents the minimum radius of the curve.ⓘ Radius of Curve [R]			+10% -10%

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

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Formula

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Rate of Change of Acceleration

Formula

`"C"_{"a"} = ("v"^3)/("L"_{"s"}*"R")`

Example

`"7.631258m/s"=(("5m/s")^3)/("7m"*"2.34m")`

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Rate of Change of Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Change of Acceleration = (Design Speed^3)/(Length of Curve*Radius of Curve)
C_a = (v^3)/(L_s*R)
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.
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.
Radius of Curve - (Measured in Meter) - Radius of Curve typically represents the minimum radius of the curve.

STEP 1: Convert Input(s) to Base Unit

Design Speed: 5 Meter per Second --> 5 Meter per Second No Conversion Required
Length of Curve: 7 Meter --> 7 Meter No Conversion Required
Radius of Curve: 2.34 Meter --> 2.34 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_a = (v^3)/(L_s*R) --> (5^3)/(7*2.34)

Evaluating ... ...

C_a = 7.63125763125763

STEP 3: Convert Result to Output's Unit

7.63125763125763 Meter per Second --> No Conversion Required

FINAL ANSWER

7.63125763125763 ≈ 7.631258 Meter per Second <-- Rate of Change of Acceleration

(Calculation completed in 00.004 seconds)

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Created by Rahul

Dayanada Sagar college of Engineering (DSCE), banglore

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< 12 Design of Valley Curve Calculators

Total Length of Valley Curve

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

Design Speed given Total Length of Valley Curve

Go Design Speed = ((Length of Curve/2)^2*Rate of Change of Acceleration/Deviation Angle)^(1/3)

Rate of Change of Acceleration given Total Length of Valley Curve

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

Deviation Angle given Total Length of Valley Curve

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

Design Speed given Length of Valley Curve

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

Radius of Curve given Length of Valley Curve

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

Rate of Change of Acceleration

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

Length of Valley Curve

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

Time given Rate of Change of Acceleration

Go Time = ((Design Speed^2)/Radius of Curve)/Rate of Change of Acceleration

Length of Valley Curve given Time and Design Speed

Go Length of Curve = Design Speed*Time

Design Speed given Length of Valley Curve and Time

Go Design Speed = Length of Curve/Time

Time given Length of Valley Curve and Design Speed

Go Time = Length of Curve/Design Speed

Rate of Change of Acceleration Formula

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

Length of the Valley Curve

In transportation or road design, the length of a summit curve refers to the distance necessary for a road to smoothly transition from an uphill segment to a downhill segment while ensuring safe visibility and navigation for vehicles. This is important for the safety of drivers and passengers.

How to Calculate Rate of Change of Acceleration?

Rate of Change of Acceleration calculator uses Rate of Change of Acceleration = (Design Speed^3)/(Length of Curve*Radius of Curve) to calculate the Rate of Change of Acceleration, The Rate of Change of Acceleration formula is defined as the cube of the design speed and dividing it by the product of the length of the curve and the radius of the curve. Rate of Change of Acceleration is denoted by C_a symbol.

How to calculate Rate of Change of Acceleration using this online calculator? To use this online calculator for Rate of Change of Acceleration, enter Design Speed (v), Length of Curve (L_s) & Radius of Curve (R) and hit the calculate button. Here is how the Rate of Change of Acceleration calculation can be explained with given input values -> 3.344034 = (5^3)/(7*2.34).

FAQ

What is Rate of Change of Acceleration?

The Rate of Change of Acceleration formula is defined as the cube of the design speed and dividing it by the product of the length of the curve and the radius of the curve and is represented as C_a = (v^3)/(L_s*R) or Rate of Change of Acceleration = (Design Speed^3)/(Length of Curve*Radius of Curve). 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 & Radius of Curve typically represents the minimum radius of the curve.

How to calculate Rate of Change of Acceleration?

The Rate of Change of Acceleration formula is defined as the cube of the design speed and dividing it by the product of the length of the curve and the radius of the curve is calculated using Rate of Change of Acceleration = (Design Speed^3)/(Length of Curve*Radius of Curve). To calculate Rate of Change of Acceleration, you need Design Speed (v), Length of Curve (L_s) & Radius of Curve (R). With our tool, you need to enter the respective value for Design Speed, Length of Curve & Radius 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 Design Speed, Length of Curve & Radius of Curve. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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