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Switch Angle Formula

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

α = a \sin (\frac{d}{L t})

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

Switch Angle Example

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With units

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Here is how the Switch Angle equation looks like with Values.

Here is how the Switch Angle equation looks like with Units.

Here is how the Switch Angle equation looks like.

2.2924 = a \sin (\frac{12}{3})

2.2924° = a \sin (\frac{12cm}{3m})

2.2924 = a \sin (\frac{12}{3})

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Switch Angle Solution

Follow our step by step solution on how to calculate Switch Angle?

FIRST Step Consider the formula

α = a \sin (\frac{d}{L t})

Next Step Substitute values of Variables

∴

α = a \sin (\frac{12cm}{3m})

Next Step Convert Units

∴

α = a \sin (\frac{0.12m}{3m})

Next Step Prepare to Evaluate

∴

α = a \sin (\frac{0.12}{3})

Next Step Evaluate

∴

α = 0.0400106743539889rad

Next Step Convert to Output's Unit

∴

α = 2.29244277595632°

LAST Step Rounding Answer

∴

α = 2.2924°

Switch Angle Formula Elements

Variables

Functions

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

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

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

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)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(Number)

Other formulas in Points and Crossings category

Go Theoretical Length of Tongue Rail

L t = \frac{d}{\sin (α)}

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 Switch Angle?

Switch Angle evaluator uses Switch Angle = asin(Heel Divergence/Length of Tongue Rail) to evaluate the Switch Angle, Switch Angle formula is used to calculate switch divergence. It is the angle between running faces of stock rail and tongue rail. Switch Angle is denoted by α symbol.

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

FAQs on Switch Angle

What is the formula to find Switch Angle?

The formula of Switch Angle is expressed as Switch Angle = asin(Heel Divergence/Length of Tongue Rail). Here is an example- 131.3473 = asin(0.12/3).

How to calculate Switch Angle?

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

Can the Switch Angle be negative?

No, the Switch Angle, measured in Angle cannot be negative.

Which unit is used to measure Switch Angle?

Switch Angle is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Switch Angle can be measured.

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Switch Angle Formula

Switch Angle Example

Switch Angle Solution

Switch Angle Formula Elements

Other formulas in Points and Crossings category

How to Evaluate Switch Angle?

FAQs on Switch Angle

Variable Name