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Gauge Width of Track given Cant Formula

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

G = \frac{h \cdot 1.27 \cdot R}{V^{2}}

G - Railway Gauge?h - Cant?R - Radius of Curve?V - Vehicle Velocity?

Gauge Width of Track given Cant Example

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Here is how the Gauge Width of Track given Cant equation looks like with Values.

Here is how the Gauge Width of Track given Cant equation looks like with Units.

Here is how the Gauge Width of Track given Cant equation looks like.

0.9071 = \frac{91.42 \cdot 1.27 \cdot 50}{80^{2}}

0.9071m = \frac{91.42cm \cdot 1.27 \cdot 50m}{{80km/h}^{2}}

0.9071 = \frac{91.42 \cdot 1.27 \cdot 50}{80^{2}}

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Gauge Width of Track given Cant Solution

Follow our step by step solution on how to calculate Gauge Width of Track given Cant?

FIRST Step Consider the formula

G = \frac{h \cdot 1.27 \cdot R}{V^{2}}

Next Step Substitute values of Variables

∴

G = \frac{91.42cm \cdot 1.27 \cdot 50m}{{80km/h}^{2}}

Next Step Convert Units

∴

G = \frac{91.42cm \cdot 1.27 \cdot 5000cm}{{80km/h}^{2}}

Next Step Prepare to Evaluate

∴

G = \frac{91.42 \cdot 1.27 \cdot 5000}{80^{2}}

Next Step Evaluate

∴

G = 0.9070578125m

LAST Step Rounding Answer

∴

G = 0.9071m

Gauge Width of Track given Cant Formula Elements

Variables

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

Cant

Cant of a railway track or camber of a road (also referred to as super elevation, cross slope or cross fall) is the rate of change in elevation (height) between the two rails or edges.

Symbol: h

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Cant

Radius of Curve

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

Symbol: R

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of Curve

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

Other formulas in Superelevation category

Go Railway Cant

h = G \cdot \frac{V^{2}}{1.27 \cdot R}

Go Cant given Width of Pavement

h = B \cdot \frac{V^{2}}{R \cdot g}

Go Radius of Curve given Cant for Road

R = B \cdot \frac{V^{2}}{h \cdot g}

Go Pavement Width given Cant

B = h \cdot \frac{R \cdot g}{V^{2}}

How to Evaluate Gauge Width of Track given Cant?

Gauge Width of Track given Cant evaluator uses Railway Gauge = (Cant*1.27*Radius of Curve)/Vehicle Velocity^2 to evaluate the Railway Gauge, The Gauge Width of Track given Cant formula is defined as the distance between two rails, above equation is valid if speed is in km/hr, width and radius are in meters and cant is in centimetres. Railway Gauge is denoted by G symbol.

How to evaluate Gauge Width of Track given Cant using this online evaluator? To use this online evaluator for Gauge Width of Track given Cant, enter Cant (h), Radius of Curve (R) & Vehicle Velocity (V) and hit the calculate button.

FAQs on Gauge Width of Track given Cant

What is the formula to find Gauge Width of Track given Cant?

The formula of Gauge Width of Track given Cant is expressed as Railway Gauge = (Cant*1.27*Radius of Curve)/Vehicle Velocity^2. Here is an example- 0.907058 = (0.9142*1.27*50)/22.2222222222222^2.

How to calculate Gauge Width of Track given Cant?

With Cant (h), Radius of Curve (R) & Vehicle Velocity (V) we can find Gauge Width of Track given Cant using the formula - Railway Gauge = (Cant*1.27*Radius of Curve)/Vehicle Velocity^2.

Can the Gauge Width of Track given Cant be negative?

No, the Gauge Width of Track given Cant, measured in Length cannot be negative.

Which unit is used to measure Gauge Width of Track given Cant?

Gauge Width of Track given Cant is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Gauge Width of Track given Cant can be measured.

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Gauge Width of Track given Cant Formula

Gauge Width of Track given Cant Example

Gauge Width of Track given Cant Solution

Gauge Width of Track given Cant Formula Elements

Other formulas in Superelevation category

How to Evaluate Gauge Width of Track given Cant?

FAQs on Gauge Width of Track given Cant

Variable Name