Time given 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%
✖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]			+10% -10%

✖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.ⓘ Time given Rate of Change of Acceleration [t]

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Formula

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Time given Rate of Change of Acceleration

Formula

`"t" = (("v"^2)/"R")/"C"_{"a"}`

Example

`"2.543753s"=((("5m/s")^2)/"2.34m")/"4.2m/s"`

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Time given Rate of Change of Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time = ((Design Speed^2)/Radius of Curve)/Rate of Change of Acceleration
t = ((v^2)/R)/C_a
This formula uses 4 Variables

Variables Used

Time - (Measured in Second) - 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.
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.
Radius of Curve - (Measured in Meter) - Radius of Curve typically represents the minimum radius of the curve.
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.

STEP 1: Convert Input(s) to Base Unit

Design Speed: 5 Meter per Second --> 5 Meter per Second No Conversion Required
Radius of Curve: 2.34 Meter --> 2.34 Meter No Conversion Required
Rate of Change of Acceleration: 4.2 Meter per Second --> 4.2 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = ((v^2)/R)/C_a --> ((5^2)/2.34)/4.2

Evaluating ... ...

t = 2.54375254375254

STEP 3: Convert Result to Output's Unit

2.54375254375254 Second --> No Conversion Required

FINAL ANSWER

2.54375254375254 ≈ 2.543753 Second <-- Time

(Calculation completed in 00.004 seconds)

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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

Time given Rate of Change of Acceleration Formula

Time = ((Design Speed^2)/Radius of Curve)/Rate of Change of Acceleration
t = ((v^2)/R)/C_a

Rate of Change of Acceleration

When we talk about the "rate of change of acceleration," we're referring to how quickly an object's acceleration is changing over time. This is basically a measure of how the rate of change of velocity (which is acceleration) is changing. In calculus, we describe this as the second derivative of the object's position with respect to time.When we talk about the "rate of. change of acceleration," we're referring to how quickly an object's acceleration is changing over time. This is basically a measure of how the rate of change of velocity (which) is changing. In calculus, we describe this as the second derivative of the object's position with respect to time.

How to Calculate Time given Rate of Change of Acceleration?

Time given Rate of Change of Acceleration calculator uses Time = ((Design Speed^2)/Radius of Curve)/Rate of Change of Acceleration to calculate the Time, Time given Rate of Change of Acceleration formula is calculated by dividing the square of the design speed by the product of the radius of the curve and the rate of change of acceleration. Time is denoted by t symbol.

How to calculate Time given Rate of Change of Acceleration using this online calculator? To use this online calculator for Time given Rate of Change of Acceleration, enter Design Speed (v), Radius of Curve (R) & Rate of Change of Acceleration (C_a) and hit the calculate button. Here is how the Time given Rate of Change of Acceleration calculation can be explained with given input values -> 1.114678 = ((5^2)/2.34)/4.2.

FAQ

What is Time given Rate of Change of Acceleration?

Time given Rate of Change of Acceleration formula is calculated by dividing the square of the design speed by the product of the radius of the curve and the rate of change of acceleration and is represented as t = ((v^2)/R)/C_a or Time = ((Design Speed^2)/Radius of Curve)/Rate of Change of Acceleration. Design speed refers to the intended or planned operating speed for a particular section of a roadway or railway, Radius of Curve typically represents the minimum radius of the curve & Rate of Change of Acceleration refers to how quickly the acceleration of an object changes over time.

How to calculate Time given Rate of Change of Acceleration?

Time given Rate of Change of Acceleration formula is calculated by dividing the square of the design speed by the product of the radius of the curve and the rate of change of acceleration is calculated using Time = ((Design Speed^2)/Radius of Curve)/Rate of Change of Acceleration. To calculate Time given Rate of Change of Acceleration, you need Design Speed (v), Radius of Curve (R) & Rate of Change of Acceleration (C_a). With our tool, you need to enter the respective value for Design Speed, Radius of Curve & Rate of Change of Acceleration 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 Time?

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

Time = Length of Curve/Design Speed

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