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Radius for given Degree of Curve in Railways 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 = (\frac{1720}{D c}) \cdot (\frac{π}{180})

R - Radius of Curve?D_c - Degree of Curve for Railways?π - Archimedes' constant?

Radius for given Degree of Curve in Railways Example

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Here is how the Radius for given Degree of Curve in Railways equation looks like with Values.

Here is how the Radius for given Degree of Curve in Railways equation looks like with Units.

Here is how the Radius for given Degree of Curve in Railways equation looks like.

337.2549 = (\frac{1720}{5.1}) \cdot (\frac{3.1416}{180})

337.2549m = (\frac{1720}{5.1°}) \cdot (\frac{3.1416}{180})

337.2549 = (\frac{1720}{5.1}) \cdot (\frac{3.1416}{180})

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Radius for given Degree of Curve in Railways Solution

Follow our step by step solution on how to calculate Radius for given Degree of Curve in Railways?

FIRST Step Consider the formula

R = (\frac{1720}{D c}) \cdot (\frac{π}{180})

Next Step Substitute values of Variables

∴

R = (\frac{1720}{5.1°}) \cdot (\frac{π}{180})

Next Step Substitute values of Constants

∴

R = (\frac{1720}{5.1°}) \cdot (\frac{3.1416}{180})

Next Step Convert Units

∴

R = (\frac{1720}{0.089rad}) \cdot (\frac{3.1416}{180})

Next Step Prepare to Evaluate

∴

R = (\frac{1720}{0.089}) \cdot (\frac{3.1416}{180})

Next Step Evaluate

∴

R = 337.254901960848m

LAST Step Rounding Answer

∴

R = 337.2549m

Radius for given Degree of Curve in Railways Formula Elements

Variables

Constants

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

Degree of Curve for Railways

Degree of curve for railways is the central angle subtended by the curve length of the railways.

Symbol: D_c

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Degree of Curve for Railways

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Geometric Design of Railway Track category

Go Degree of Curve in Railways

D c = (\frac{1720}{R}) \cdot (\frac{π}{180})

Go Equilibrium Cant in Railways

e eq = G \cdot \frac{V^{2}}{127 \cdot R}

Go Equilibrium Cant for BG

e bg = 1.676 \cdot \frac{V^{2}}{127 \cdot R}

Go Equilibrium Cant for MG

e mg = 1.000 \cdot \frac{V^{2}}{127 \cdot R}

How to Evaluate Radius for given Degree of Curve in Railways?

Radius for given Degree of Curve in Railways evaluator uses Radius of Curve = (1720/Degree of Curve for Railways)*(pi/180) to evaluate the Radius of Curve, Radius for given Degree of Curve in Railways is defined as the radius of the circular arc which best approximates the curve at the turning point in railways. Radius of Curve is denoted by R symbol.

How to evaluate Radius for given Degree of Curve in Railways using this online evaluator? To use this online evaluator for Radius for given Degree of Curve in Railways, enter Degree of Curve for Railways (D_c) and hit the calculate button.

FAQs on Radius for given Degree of Curve in Railways

What is the formula to find Radius for given Degree of Curve in Railways?

The formula of Radius for given Degree of Curve in Railways is expressed as Radius of Curve = (1720/Degree of Curve for Railways)*(pi/180). Here is an example- 337.2549 = (1720/0.0890117918516941)*(pi/180).

How to calculate Radius for given Degree of Curve in Railways?

With Degree of Curve for Railways (D_c) we can find Radius for given Degree of Curve in Railways using the formula - Radius of Curve = (1720/Degree of Curve for Railways)*(pi/180). This formula also uses Archimedes' constant .

Can the Radius for given Degree of Curve in Railways be negative?

Yes, the Radius for given Degree of Curve in Railways, measured in Length can be negative.

Which unit is used to measure Radius for given Degree of Curve in Railways?

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

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