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Length of Central Curve Formula

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Length of Central Curve can be defined as the limit of the sum of line segment lengths for a regular partition of as the number of segments approaches infinity. Check FAQs

L2 = \frac{π \cdot R2 \cdot D 2}{180}

L2 - Length of Central Curve?R2 - Radius of Central Curve?D₂ - Deflection Angle of Central Curve?π - Archimedes' constant?

Length of Central Curve Example

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Here is how the Length of Central Curve equation looks like with Values.

Here is how the Length of Central Curve equation looks like with Units.

Here is how the Length of Central Curve equation looks like.

24.9233 = \frac{3.1416 \cdot 102 \cdot 14}{180}

24.9233m = \frac{3.1416 \cdot 102m \cdot 14rad}{180}

24.9233 = \frac{3.1416 \cdot 102 \cdot 14}{180}

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Length of Central Curve Solution

Follow our step by step solution on how to calculate Length of Central Curve?

FIRST Step Consider the formula

L2 = \frac{π \cdot R2 \cdot D 2}{180}

Next Step Substitute values of Variables

∴

L2 = \frac{π \cdot 102m \cdot 14rad}{180}

Next Step Substitute values of Constants

∴

L2 = \frac{3.1416 \cdot 102m \cdot 14rad}{180}

Next Step Prepare to Evaluate

∴

L2 = \frac{3.1416 \cdot 102 \cdot 14}{180}

Next Step Evaluate

∴

L2 = 24.923301718479m

LAST Step Rounding Answer

∴

L2 = 24.9233m

Length of Central Curve Formula Elements

Variables

Constants

Length of Central Curve

Length of Central Curve can be defined as the limit of the sum of line segment lengths for a regular partition of as the number of segments approaches infinity.

Symbol: L2

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Central Curve

Radius of Central Curve

Radius of Central Curve is the distance between center of a circle or any other point on the circumference of the circle and surface of the sphere.

Symbol: R2

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of Central Curve

Deflection Angle of Central Curve

Deflection Angle of Central Curve is the angle between the onward extension of the previous leg and the line ahead.

Symbol: D₂

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Deflection Angle of Central Curve

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 Turning Radius category

Go Wheelbase given Turning Radius

W = \sqrt{\frac{(R Taxiway \cdot (0.5 \cdot T Width)) - D Midway}{0.388}}

Go Turning Radius

R Taxiway = \frac{{V Turning Speed}^{2}}{125 \cdot μ Friction}

Go Turning Speed of Aircraft given Radius of Curve

V Turning Speed = \sqrt{R Taxiway \cdot μ Friction \cdot 125}

Go Taxiway Width given Turning Radius

T Width = \frac{(\frac{0.388 \cdot W^{2}}{R Taxiway}) + D Midway}{0.5}

How to Evaluate Length of Central Curve?

Length of Central Curve evaluator uses Length of Central Curve = (pi*Radius of Central Curve*Deflection Angle of Central Curve)/180 to evaluate the Length of Central Curve, Length of Central Curve can be defined as the limit of the sum of line segment lengths for a regular partition of as the number of segments approaches infinity. Length of Central Curve is denoted by L2 symbol.

How to evaluate Length of Central Curve using this online evaluator? To use this online evaluator for Length of Central Curve, enter Radius of Central Curve (R2) & Deflection Angle of Central Curve (D₂) and hit the calculate button.

FAQs on Length of Central Curve

What is the formula to find Length of Central Curve?

The formula of Length of Central Curve is expressed as Length of Central Curve = (pi*Radius of Central Curve*Deflection Angle of Central Curve)/180. Here is an example- 24.9233 = (pi*102*14)/180.

How to calculate Length of Central Curve?

With Radius of Central Curve (R2) & Deflection Angle of Central Curve (D₂) we can find Length of Central Curve using the formula - Length of Central Curve = (pi*Radius of Central Curve*Deflection Angle of Central Curve)/180. This formula also uses Archimedes' constant .

Can the Length of Central Curve be negative?

Yes, the Length of Central Curve, measured in Length can be negative.

Which unit is used to measure Length of Central Curve?

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

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Length of Central Curve Formula

Length of Central Curve Example

Length of Central Curve Solution

Length of Central Curve Formula Elements

Other formulas in Turning Radius category

How to Evaluate Length of Central Curve?

FAQs on Length of Central Curve

Variable Name