Time Taken given 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%
✖Rate of Radial Acceleration define the rate of change of radial acceleration. It is in the unit m/s^2 per second.ⓘ Rate of Radial Acceleration [α]			+10% -10%

✖Time taken to Travel is the total time taken by an object to reach its destination.ⓘ Time Taken given Radial Acceleration [t]

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Time Taken given Radial Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Time taken to Travel - (Measured in Second) - Time taken to Travel is the total time taken by an object to reach its destination.
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.
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.

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
Rate of Radial Acceleration: 10 Meter per Square Second --> 10 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = (V^2/(R_Curve*α)) --> (80^2/(200*10))

Evaluating ... ...

t = 3.2

STEP 3: Convert Result to Output's Unit

3.2 Second --> No Conversion Required

FINAL ANSWER

3.2 Second <-- Time taken to Travel

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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National Institute of Technology (NIT), Warangal

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< Length of Transition Curve Calculators

Length of Transition Curve given Time Rate

LaTeX 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

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

Rate of Change of Radial Acceleration

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

Time Taken given Radial Acceleration

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

Time Taken given Radial Acceleration Formula

LaTeX Go

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

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 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.

How to Calculate Time Taken given Radial Acceleration?

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

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

FAQ

What is Time Taken given Radial Acceleration?

The Time Taken given Radial Acceleration formula is defined for finding the length of the transition curve. The most scientific method for finding the length of the transition curve is from consideration of the rate of change of radial acceleration and is represented as t = (V^2/(R_Curve*α)) or Time taken to Travel = (Vehicle Velocity^2/(Curve Radius*Rate of Radial Acceleration)). 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 & Rate of Radial Acceleration define the rate of change of radial acceleration. It is in the unit m/s^2 per second.

How to calculate Time Taken given Radial Acceleration?

The Time Taken given Radial Acceleration formula is defined for finding the length of the transition curve. The most scientific method for finding the length of the transition curve is from consideration of the rate of change of radial acceleration is calculated using Time taken to Travel = (Vehicle Velocity^2/(Curve Radius*Rate of Radial Acceleration)). To calculate Time Taken given Radial Acceleration, you need Vehicle Velocity (V), Curve Radius (R_Curve) & Rate of Radial Acceleration (α). With our tool, you need to enter the respective value for Vehicle Velocity, Curve Radius & Rate of Radial Acceleration 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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