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Maximum Allowable Speed for Train Formula

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Maximum Velocity is the rate of change of its position with respect to a frame of reference, and is a function of time. Check FAQs

V max = \sqrt{\frac{(C a + E u) \cdot R curvature \cdot g}{w}}

V_max - Maximum Velocity?C_a - Cant?E_u - Unbalanced Cant?R_curvature - Radius of Curvature?g - Acceleration due to Gravity?w - Railtrack Gauge?

Maximum Allowable Speed for Train Example

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Here is how the Maximum Allowable Speed for Train equation looks like with Values.

Here is how the Maximum Allowable Speed for Train equation looks like with Units.

Here is how the Maximum Allowable Speed for Train equation looks like.

3.8968 = \sqrt{\frac{(130 + 25) \cdot 15235 \cdot 9.8}{1524}}

3.8968m/s = \sqrt{\frac{(130mm + 25mm) \cdot 15235mm \cdot 9.8m/s²}{1524mm}}

3.8968 = \sqrt{\frac{(130 + 25) \cdot 15235 \cdot 9.8}{1524}}

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Maximum Allowable Speed for Train Solution

Follow our step by step solution on how to calculate Maximum Allowable Speed for Train?

FIRST Step Consider the formula

V max = \sqrt{\frac{(C a + E u) \cdot R curvature \cdot g}{w}}

Next Step Substitute values of Variables

∴

V max = \sqrt{\frac{(130mm + 25mm) \cdot 15235mm \cdot 9.8m/s²}{1524mm}}

Next Step Convert Units

∴

V max = \sqrt{\frac{(0.13m + 0.025m) \cdot 15.235m \cdot 9.8m/s²}{1.524m}}

Next Step Prepare to Evaluate

∴

V max = \sqrt{\frac{(0.13 + 0.025) \cdot 15.235 \cdot 9.8}{1.524}}

Next Step Evaluate

∴

V max = 3.89679565851219m/s

LAST Step Rounding Answer

∴

V max = 3.8968m/s

Maximum Allowable Speed for Train Formula Elements

Variables

Functions

Maximum Velocity

Maximum Velocity is the rate of change of its position with respect to a frame of reference, and is a function of time.

Symbol: V_max

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Maximum Velocity

Cant

The cant of a railway is the rate of change in elevation (height) between the two rails or edges.

Symbol: C_a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Cant

Unbalanced Cant

Unbalanced Cant is the maximum allowed additional amount of cant that would be required by a train moving faster than the speed for which the cant was designed.

Symbol: E_u

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Unbalanced Cant

Radius of Curvature

The Radius of Curvature is the reciprocal of the curvature.

Symbol: R_curvature

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Curvature

Acceleration due to Gravity

Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Railtrack Gauge

Railtrack Gauge is defined as the clear minimum perpendicular distance between the inner faces of the two rails.

Symbol: w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Railtrack Gauge

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)

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How to Evaluate Maximum Allowable Speed for Train?

Maximum Allowable Speed for Train evaluator uses Maximum Velocity = sqrt(((Cant+Unbalanced Cant)*Radius of Curvature*Acceleration due to Gravity)/Railtrack Gauge) to evaluate the Maximum Velocity, The Maximum allowable speed for Train formula is defined as the highest velocity with which the train can go without derailing or overlapping. Maximum Velocity is denoted by V_max symbol.

How to evaluate Maximum Allowable Speed for Train using this online evaluator? To use this online evaluator for Maximum Allowable Speed for Train, enter Cant (C_a), Unbalanced Cant (E_u), Radius of Curvature (R_curvature), Acceleration due to Gravity (g) & Railtrack Gauge (w) and hit the calculate button.

FAQs on Maximum Allowable Speed for Train

What is the formula to find Maximum Allowable Speed for Train?

The formula of Maximum Allowable Speed for Train is expressed as Maximum Velocity = sqrt(((Cant+Unbalanced Cant)*Radius of Curvature*Acceleration due to Gravity)/Railtrack Gauge). Here is an example- 3.896796 = sqrt(((0.13+0.025)*15.235*9.8)/1.524).

How to calculate Maximum Allowable Speed for Train?

With Cant (C_a), Unbalanced Cant (E_u), Radius of Curvature (R_curvature), Acceleration due to Gravity (g) & Railtrack Gauge (w) we can find Maximum Allowable Speed for Train using the formula - Maximum Velocity = sqrt(((Cant+Unbalanced Cant)*Radius of Curvature*Acceleration due to Gravity)/Railtrack Gauge). This formula also uses Square Root (sqrt) function(s).

Can the Maximum Allowable Speed for Train be negative?

No, the Maximum Allowable Speed for Train, measured in Speed cannot be negative.

Which unit is used to measure Maximum Allowable Speed for Train?

Maximum Allowable Speed for Train 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 Maximum Allowable Speed for Train can be measured.

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Maximum Allowable Speed for Train Formula

Maximum Allowable Speed for Train Example

Maximum Allowable Speed for Train Solution

Maximum Allowable Speed for Train Formula Elements

Other formulas in Others and Extra category

How to Evaluate Maximum Allowable Speed for Train?

FAQs on Maximum Allowable Speed for Train

Variable Name