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Theoretical Length of Tongue Rail Formula

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Length of Tongue Rail is tapered moveable rail, connected at its thickest end to the running rail. Check FAQs

L t = \frac{d}{\sin (α)}

L_t - Length of Tongue Rail?d - Heel Divergence?α - Switch Angle?

Theoretical Length of Tongue Rail Example

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Here is how the Theoretical Length of Tongue Rail equation looks like with Values.

Here is how the Theoretical Length of Tongue Rail equation looks like with Units.

Here is how the Theoretical Length of Tongue Rail equation looks like.

3.0032 = \frac{12}{\sin (2.29)}

3.0032m = \frac{12cm}{\sin (2.29°)}

3.0032 = \frac{12}{\sin (2.29)}

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Theoretical Length of Tongue Rail Solution

Follow our step by step solution on how to calculate Theoretical Length of Tongue Rail?

FIRST Step Consider the formula

L t = \frac{d}{\sin (α)}

Next Step Substitute values of Variables

∴

L t = \frac{12cm}{\sin (2.29°)}

Next Step Convert Units

∴

L t = \frac{0.12m}{\sin (0.04rad)}

Next Step Prepare to Evaluate

∴

L t = \frac{0.12}{\sin (0.04)}

Next Step Evaluate

∴

L t = 3.00319843624847m

LAST Step Rounding Answer

∴

L t = 3.0032m

Theoretical Length of Tongue Rail Formula Elements

Variables

Functions

Length of Tongue Rail

Length of Tongue Rail is tapered moveable rail, connected at its thickest end to the running rail.

Symbol: L_t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Tongue Rail

Heel Divergence

Heel Divergence is the running distance between the running faces of stock rail and gauge face of the tongue rail when measured at heel of switch.

Symbol: d

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Heel Divergence

Switch Angle

Switch Angle also known as switch divergence. It is the angle between running faces of stock rail and tounge rail.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Switch Angle

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Points and Crossings category

Go Switch Angle

α = a \sin (\frac{d}{L t})

Go Number of Crossing (N)

N = \frac{S}{L c}

Go Right Angle or Cole's Method

N = \cot (α Crossing)

Go Centre Line Method

N = (\frac{1}{2}) \cdot (\cot (\frac{α Crossing}{2}))

How to Evaluate Theoretical Length of Tongue Rail?

Theoretical Length of Tongue Rail evaluator uses Length of Tongue Rail = Heel Divergence/sin(Switch Angle) to evaluate the Length of Tongue Rail, Theoretical Length of Tongue Rail formula is used to calculate length of tapered moveable rail, connected at its thickest end to running rail. Length of Tongue Rail is denoted by L_t symbol.

How to evaluate Theoretical Length of Tongue Rail using this online evaluator? To use this online evaluator for Theoretical Length of Tongue Rail, enter Heel Divergence (d) & Switch Angle (α) and hit the calculate button.

FAQs on Theoretical Length of Tongue Rail

What is the formula to find Theoretical Length of Tongue Rail?

The formula of Theoretical Length of Tongue Rail is expressed as Length of Tongue Rail = Heel Divergence/sin(Switch Angle). Here is an example- 3.003198 = 0.12/sin(0.0399680398706626).

How to calculate Theoretical Length of Tongue Rail?

With Heel Divergence (d) & Switch Angle (α) we can find Theoretical Length of Tongue Rail using the formula - Length of Tongue Rail = Heel Divergence/sin(Switch Angle). This formula also uses Sine (sin) function(s).

Can the Theoretical Length of Tongue Rail be negative?

No, the Theoretical Length of Tongue Rail, measured in Length cannot be negative.

Which unit is used to measure Theoretical Length of Tongue Rail?

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

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Theoretical Length of Tongue Rail Formula

Theoretical Length of Tongue Rail Example

Theoretical Length of Tongue Rail Solution

Theoretical Length of Tongue Rail Formula Elements

Other formulas in Points and Crossings category

How to Evaluate Theoretical Length of Tongue Rail?

FAQs on Theoretical Length of Tongue Rail

Variable Name