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Design Speed of Railway Formula

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Design Speed on Railways is the maximum limit of train speed that can be achieved for a safe ride through tracks. Check FAQs

v 2 = \sqrt{R Curve \cdot \frac{g}{8}}

v₂ - Design Speed on Railways?R_Curve - Curve Radius?g - Acceleration due to Gravity?

Design Speed of Railway Example

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Here is how the Design Speed of Railway equation looks like with Values.

Here is how the Design Speed of Railway equation looks like with Units.

Here is how the Design Speed of Railway equation looks like.

4.3479 = \sqrt{200 \cdot \frac{9.8}{8}}

4.3479m/s = \sqrt{200m \cdot \frac{9.8m/s²}{8}}

4.3479 = \sqrt{200 \cdot \frac{9.8}{8}}

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Design Speed of Railway Solution

Follow our step by step solution on how to calculate Design Speed of Railway?

FIRST Step Consider the formula

v 2 = \sqrt{R Curve \cdot \frac{g}{8}}

Next Step Substitute values of Variables

∴

v 2 = \sqrt{200m \cdot \frac{9.8m/s²}{8}}

Next Step Prepare to Evaluate

∴

v 2 = \sqrt{200 \cdot \frac{9.8}{8}}

Next Step Evaluate

∴

v 2 = 4.34790995624959m/s

LAST Step Rounding Answer

∴

v 2 = 4.3479m/s

Design Speed of Railway Formula Elements

Variables

Functions

Design Speed on Railways

Design Speed on Railways is the maximum limit of train speed that can be achieved for a safe ride through tracks.

Symbol: v₂

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Design Speed on Railways

Curve Radius

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

Symbol: R_Curve

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Curve Radius

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Centrifugal Ratio category

Go Centrifugal Force Acting on Vehicle

F c = \frac{W \cdot V^{2}}{g \cdot R Curve}

Go Speed of Vehicle given Centrifugal Force

V = \sqrt{F c \cdot g \cdot \frac{R Curve}{W}}

Go Radius of Curve given Centrifugal Force

R Curve = \frac{W \cdot V^{2}}{g \cdot F c}

Go Centrifugal Ratio

PW ratio = \frac{V^{2}}{R Curve \cdot g}

How to Evaluate Design Speed of Railway?

Design Speed of Railway evaluator uses Design Speed on Railways = sqrt(Curve Radius*Acceleration due to Gravity/8) to evaluate the Design Speed on Railways, The Design Speed of Railway formula is defined as the geometric factor which is used for the railway design. It is defined as the highest continuous speed at which an individual train can travel safety on a railway when weather conditions are conducive. Design Speed on Railways is denoted by v₂ symbol.

How to evaluate Design Speed of Railway using this online evaluator? To use this online evaluator for Design Speed of Railway, enter Curve Radius (R_Curve) & Acceleration due to Gravity (g) and hit the calculate button.

FAQs on Design Speed of Railway

What is the formula to find Design Speed of Railway?

The formula of Design Speed of Railway is expressed as Design Speed on Railways = sqrt(Curve Radius*Acceleration due to Gravity/8). Here is an example- 4.34791 = sqrt(200*9.8/8).

How to calculate Design Speed of Railway?

With Curve Radius (R_Curve) & Acceleration due to Gravity (g) we can find Design Speed of Railway using the formula - Design Speed on Railways = sqrt(Curve Radius*Acceleration due to Gravity/8). This formula also uses Square Root (sqrt) function(s).

Can the Design Speed of Railway be negative?

No, the Design Speed of Railway, measured in Speed cannot be negative.

Which unit is used to measure Design Speed of Railway?

Design Speed of Railway is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Design Speed of Railway can be measured.

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