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Time Rate given Length of Transition Curve Formula

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Super elevation Time Rate is the rate of time needed for the application of super elevation. Check FAQs

x = G \cdot \frac{V^{3}}{L a \cdot g \cdot R Curve}

x - Super Elevation Time Rate?G - Railway Gauge?V - Vehicle Velocity?L_a - Transition Curve Length?g - Acceleration due to Gravity?R_Curve - Curve Radius?

Time Rate given Length of Transition Curve Example

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Here is how the Time Rate given Length of Transition Curve equation looks like with Values.

Here is how the Time Rate given Length of Transition Curve equation looks like with Units.

Here is how the Time Rate given Length of Transition Curve equation looks like.

45.0387 = 0.9 \cdot \frac{80^{3}}{145 \cdot 9.8 \cdot 200}

45.0387cm/s = 0.9m \cdot \frac{{80km/h}^{3}}{145m \cdot 9.8m/s² \cdot 200m}

45.0387 = 0.9 \cdot \frac{80^{3}}{145 \cdot 9.8 \cdot 200}

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Time Rate given Length of Transition Curve Solution

Follow our step by step solution on how to calculate Time Rate given Length of Transition Curve?

FIRST Step Consider the formula

x = G \cdot \frac{V^{3}}{L a \cdot g \cdot R Curve}

Next Step Substitute values of Variables

∴

x = 0.9m \cdot \frac{{80km/h}^{3}}{145m \cdot 9.8m/s² \cdot 200m}

Next Step Prepare to Evaluate

∴

x = 0.9 \cdot \frac{80^{3}}{145 \cdot 9.8 \cdot 200}

Next Step Evaluate

∴

x = 0.450387051372273m/s

Next Step Convert to Output's Unit

∴

x = 45.0387051372273cm/s

LAST Step Rounding Answer

∴

x = 45.0387cm/s

Time Rate given Length of Transition Curve Formula Elements

Variables

Super Elevation Time Rate

Super elevation Time Rate is the rate of time needed for the application of super elevation.

Symbol: x

Measurement: SpeedUnit: cm/s

Note: Value can be positive or negative.

Formulas to find Super Elevation Time Rate

Railway Gauge

Railway Gauge is taken as the distance between the two rails and is represented by a gauge.

Symbol: G

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Railway Gauge

Vehicle Velocity

Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.

Symbol: V

Measurement: SpeedUnit: km/h

Note: Value can be positive or negative.

Formulas to find Vehicle Velocity

Transition Curve Length

Transition Curve Length should be such that full super elevation is attained at the end of the transition curve and applied at a suitable rate.

Symbol: L_a

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Transition Curve Length

Acceleration due to Gravity

The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Acceleration due to Gravity

Curve Radius

Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.

Symbol: R_Curve

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Curve Radius

Other formulas in Length of Transition Curve category

Go Length of Transition Curve given Time Rate

L a = G \cdot \frac{V^{3}}{x \cdot g \cdot R Curve}

Go Rate of Change of Radial Acceleration

α = (\frac{V^{2}}{R Curve \cdot t})

Go Time Taken given Radial Acceleration

t = (\frac{V^{2}}{R Curve \cdot α})

Go Length given Angle of Super Elevation

L a = {(g \cdot \tan (θ e))}^{1.5} \cdot \frac{\sqrt{R Curve}}{α}

How to Evaluate Time Rate given Length of Transition Curve?

Time Rate given Length of Transition Curve evaluator uses Super Elevation Time Rate = Railway Gauge*Vehicle Velocity^3/(Transition Curve Length*Acceleration due to Gravity*Curve Radius) to evaluate the Super Elevation Time Rate, The Time Rate given Length of Transition Curve formula is defined as the time or rate of time for applying the superelevation. Here time is in cm/s and cant is in cm. Super Elevation Time Rate is denoted by x symbol.

How to evaluate Time Rate given Length of Transition Curve using this online evaluator? To use this online evaluator for Time Rate given Length of Transition Curve, enter Railway Gauge (G), Vehicle Velocity (V), Transition Curve Length (L_a), Acceleration due to Gravity (g) & Curve Radius (R_Curve) and hit the calculate button.

FAQs on Time Rate given Length of Transition Curve

What is the formula to find Time Rate given Length of Transition Curve?

The formula of Time Rate given Length of Transition Curve is expressed as Super Elevation Time Rate = Railway Gauge*Vehicle Velocity^3/(Transition Curve Length*Acceleration due to Gravity*Curve Radius). Here is an example- 6005.161 = 0.9*22.2222222222222^3/(145*9.8*200).

How to calculate Time Rate given Length of Transition Curve?

With Railway Gauge (G), Vehicle Velocity (V), Transition Curve Length (L_a), Acceleration due to Gravity (g) & Curve Radius (R_Curve) we can find Time Rate given Length of Transition Curve using the formula - Super Elevation Time Rate = Railway Gauge*Vehicle Velocity^3/(Transition Curve Length*Acceleration due to Gravity*Curve Radius).

Can the Time Rate given Length of Transition Curve be negative?

Yes, the Time Rate given Length of Transition Curve, measured in Speed can be negative.

Which unit is used to measure Time Rate given Length of Transition Curve?

Time Rate given Length of Transition Curve is usually measured using the Centimeter per Second[cm/s] for Speed. Meter per Second[cm/s], Meter per Minute[cm/s], Meter per Hour[cm/s] are the few other units in which Time Rate given Length of Transition Curve can be measured.

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Time Rate given Length of Transition Curve Formula

Time Rate given Length of Transition Curve Example

Time Rate given Length of Transition Curve Solution

Time Rate given Length of Transition Curve Formula Elements

Other formulas in Length of Transition Curve category

How to Evaluate Time Rate given Length of Transition Curve?

FAQs on Time Rate given Length of Transition Curve

Variable Name