Rate of Change of Radial Acceleration Calculator

✖Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.ⓘ Vehicle Velocity [V]			+10% -10%
✖Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Curve Radius [R_Curve]			+10% -10%
✖Time taken to Travel is the total time taken by an object to reach its destination.ⓘ Time taken to Travel [t]			+10% -10%

✖Rate of Radial Acceleration define the rate of change of radial acceleration. It is in the unit m/s^2 per second.ⓘ Rate of Change of Radial Acceleration [α]

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Formula

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Rate of Change of Radial Acceleration

Formula

`"α" = ("V"^2/("R"_{"Curve"}*"t"))`

Example

`"10m/s²"=(("80km/h")^2/("200m"*"3.2s"))`

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Rate of Change of Radial Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Radial Acceleration = (Vehicle Velocity^2/(Curve Radius*Time taken to Travel))
α = (V^2/(R_Curve*t))
This formula uses 4 Variables

Variables Used

Rate of Radial Acceleration - (Measured in Meter per Square Second) - Rate of Radial Acceleration define the rate of change of radial acceleration. It is in the unit m/s^2 per second.
Vehicle Velocity - (Measured in Kilometer per Hour) - Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.
Curve Radius - (Measured in Meter) - Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.
Time taken to Travel - (Measured in Second) - Time taken to Travel is the total time taken by an object to reach its destination.

STEP 1: Convert Input(s) to Base Unit

Vehicle Velocity: 80 Kilometer per Hour --> 80 Kilometer per Hour No Conversion Required
Curve Radius: 200 Meter --> 200 Meter No Conversion Required
Time taken to Travel: 3.2 Second --> 3.2 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = (V^2/(R_Curve*t)) --> (80^2/(200*3.2))

Evaluating ... ...

α = 10

STEP 3: Convert Result to Output's Unit

10 Meter per Square Second --> No Conversion Required

FINAL ANSWER

10 Meter per Square Second <-- Rate of Radial Acceleration

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

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National Institute of Technology (NIT), Warangal

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< 10+ Length of Transition Curve Calculators

Length given Angle of Super Elevation

Go Transition Curve Length = (Acceleration due to Gravity*tan(Super Elevation Angle))^1.5*sqrt(Curve Radius)/Rate of Radial Acceleration

Length of Transition Curve given Time Rate

Go Transition Curve Length = Railway Gauge*Vehicle Velocity^3/(Super Elevation Time Rate*Acceleration due to Gravity*Curve Radius)

Time Rate given Length of Transition Curve

Go Super Elevation Time Rate = Railway Gauge*Vehicle Velocity^3/(Transition Curve Length*Acceleration due to Gravity*Curve Radius)

Hands-Off Velocity

Go Hands off Velocity = sqrt(Acceleration due to Gravity*Radius of Curve*tan(Angle of Super Elevation))

Rate of Change of Radial Acceleration

Go Rate of Radial Acceleration = (Vehicle Velocity^2/(Curve Radius*Time taken to Travel))

Time Taken given Radial Acceleration

Go Time taken to Travel = (Vehicle Velocity^2/(Curve Radius*Rate of Radial Acceleration))

Length of Transition Curve given Shift

Go Transition Curve Length = sqrt(Shift*24*Curve Radius)

Shift of Curve

Go Shift = Transition Curve Length^2/(24*Curve Radius)

Length when Comfort Condition Holds Good for Highways

Go Transition Curve Length = 12.80*sqrt(Curve Radius)

Length when Comfort Condition Holds Good for Railways

Go Transition Curve Length = 4.52*sqrt(Curve Radius)

Rate of Change of Radial Acceleration Formula

Rate of Radial Acceleration = (Vehicle Velocity^2/(Curve Radius*Time taken to Travel))
α = (V^2/(R_Curve*t))

How does the Superelevation of the Track Affect the Length of the Transition Curve required?

The superelevation, or banking, of the track affects the length of the transition curve by influencing the rate at which the train can safely transition from a straight track to a curved track. The greater the superelevation, the shorter the length of the transition curve required.

What is Radial Acceleration?

Radial acceleration is the acceleration experienced by an object moving in a circular path, directed towards the center of the circle.

How to Calculate Rate of Change of Radial Acceleration?

Rate of Change of Radial Acceleration calculator uses Rate of Radial Acceleration = (Vehicle Velocity^2/(Curve Radius*Time taken to Travel)) to calculate the Rate of Radial Acceleration, The Rate of Change of Radial Acceleration formula is defined as the radial acceleration of a vehicle at a given time. The most scientific method for finding the length of a transition curve is from the consideration of the rate of change of radial acceleration. Rate of Radial Acceleration is denoted by α symbol.

How to calculate Rate of Change of Radial Acceleration using this online calculator? To use this online calculator for Rate of Change of Radial Acceleration, enter Vehicle Velocity (V), Curve Radius (R_Curve) & Time taken to Travel (t) and hit the calculate button. Here is how the Rate of Change of Radial Acceleration calculation can be explained with given input values -> 10 = (22.2222222222222^2/(200*3.2)).

FAQ

What is Rate of Change of Radial Acceleration?

The Rate of Change of Radial Acceleration formula is defined as the radial acceleration of a vehicle at a given time. The most scientific method for finding the length of a transition curve is from the consideration of the rate of change of radial acceleration and is represented as α = (V^2/(R_Curve*t)) or Rate of Radial Acceleration = (Vehicle Velocity^2/(Curve Radius*Time taken to Travel)). Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time, Curve Radius is the radius of a circle whose part, say, arc is taken for consideration & Time taken to Travel is the total time taken by an object to reach its destination.

How to calculate Rate of Change of Radial Acceleration?

The Rate of Change of Radial Acceleration formula is defined as the radial acceleration of a vehicle at a given time. The most scientific method for finding the length of a transition curve is from the consideration of the rate of change of radial acceleration is calculated using Rate of Radial Acceleration = (Vehicle Velocity^2/(Curve Radius*Time taken to Travel)). To calculate Rate of Change of Radial Acceleration, you need Vehicle Velocity (V), Curve Radius (R_Curve) & Time taken to Travel (t). With our tool, you need to enter the respective value for Vehicle Velocity, Curve Radius & Time taken to Travel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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