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Radius of Curve given Cant for Road Formula

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

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

R - Radius of Curve?B - Pavement Width?V - Vehicle Velocity?h - Cant?g - Acceleration due to Gravity?

Radius of Curve given Cant for Road Example

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Here is how the Radius of Curve given Cant for Road equation looks like with Values.

Here is how the Radius of Curve given Cant for Road equation looks like with Units.

Here is how the Radius of Curve given Cant for Road equation looks like.

49.2903 = 6.9 \cdot \frac{80^{2}}{91.42 \cdot 9.8}

49.2903m = 6.9m \cdot \frac{{80km/h}^{2}}{91.42cm \cdot 9.8m/s²}

49.2903 = 6.9 \cdot \frac{80^{2}}{91.42 \cdot 9.8}

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Radius of Curve given Cant for Road Solution

Follow our step by step solution on how to calculate Radius of Curve given Cant for Road?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R = 6.9m \cdot \frac{{80km/h}^{2}}{91.42cm \cdot 9.8m/s²}

Next Step Convert Units

∴

R = 690cm \cdot \frac{{80km/h}^{2}}{91.42cm \cdot 9.8m/s²}

Next Step Prepare to Evaluate

∴

R = 690 \cdot \frac{80^{2}}{91.42 \cdot 9.8}

Next Step Evaluate

∴

R = 49.2903352546444m

LAST Step Rounding Answer

∴

R = 49.2903m

Radius of Curve given Cant for Road Formula Elements

Variables

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

Pavement Width

Pavement width is the breadth of the highway pavement.

Symbol: B

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Pavement Width

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

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

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

Other formulas in Superelevation category

Go Railway Cant

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

Go Gauge Width of Track given Cant

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

Go Cant given Width of Pavement

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

Go Pavement Width given Cant

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

How to Evaluate Radius of Curve given Cant for Road?

Radius of Curve given Cant for Road evaluator uses Radius of Curve = Pavement Width*Vehicle Velocity^2/(Cant*Acceleration due to Gravity) to evaluate the Radius of Curve, Radius of Curve given Cant for Road is radius of imaginary circle whose part is used as transition curve in road. Here radius, cant and width are in meters and acceleration is in m/s^2. Radius of Curve is denoted by R symbol.

How to evaluate Radius of Curve given Cant for Road using this online evaluator? To use this online evaluator for Radius of Curve given Cant for Road, enter Pavement Width (B), Vehicle Velocity (V), Cant (h) & Acceleration due to Gravity (g) and hit the calculate button.

FAQs on Radius of Curve given Cant for Road

What is the formula to find Radius of Curve given Cant for Road?

The formula of Radius of Curve given Cant for Road is expressed as Radius of Curve = Pavement Width*Vehicle Velocity^2/(Cant*Acceleration due to Gravity). Here is an example- 49.29034 = 6.9*22.2222222222222^2/(0.9142*9.8).

How to calculate Radius of Curve given Cant for Road?

With Pavement Width (B), Vehicle Velocity (V), Cant (h) & Acceleration due to Gravity (g) we can find Radius of Curve given Cant for Road using the formula - Radius of Curve = Pavement Width*Vehicle Velocity^2/(Cant*Acceleration due to Gravity).

Can the Radius of Curve given Cant for Road be negative?

Yes, the Radius of Curve given Cant for Road, measured in Length can be negative.

Which unit is used to measure Radius of Curve given Cant for Road?

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

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Radius of Curve given Cant for Road Formula

Radius of Curve given Cant for Road Example

Radius of Curve given Cant for Road Solution

Radius of Curve given Cant for Road Formula Elements

Other formulas in Superelevation category

How to Evaluate Radius of Curve given Cant for Road?

FAQs on Radius of Curve given Cant for Road

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