Maximum Allowable Speed for Train Calculator

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✖The cant of a railway is the rate of change in elevation (height) between the two rails or edges.ⓘ Cant [C_a]			+10% -10%
✖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.ⓘ Unbalanced Cant [E_u]			+10% -10%
✖The Radius of Curvature is the reciprocal of the curvature.ⓘ Radius of Curvature [R_curvature]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Railtrack Gauge is defined as the clear minimum perpendicular distance between the inner faces of the two rails.ⓘ Railtrack Gauge [w]			+10% -10%

✖Maximum Velocity is the rate of change of its position with respect to a frame of reference, and is a function of time.ⓘ Maximum Allowable Speed for Train [V_max]

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Formula

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Maximum Allowable Speed for Train

Formula

`"V"_{"max"} = sqrt((("C"_{"a"}+"E"_{"u"})*"R"_{"curvature"}*"g")/"w")`

Example

`"3.896796m/s"=sqrt((("130mm"+"25mm")*"15235mm"*"9.8m/s²")/"1524mm")`

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Maximum Allowable Speed for Train Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Velocity = sqrt(((Cant+Unbalanced Cant)*Radius of Curvature*Acceleration due to Gravity)/Railtrack Gauge)
V_max = sqrt(((C_a+E_u)*R_curvature*g)/w)
This formula uses 1 Functions, 6 Variables

Functions Used

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., sqrt(Number)

Variables Used

Maximum Velocity - (Measured in Meter per Second) - Maximum Velocity is the rate of change of its position with respect to a frame of reference, and is a function of time.
Cant - (Measured in Meter) - The cant of a railway is the rate of change in elevation (height) between the two rails or edges.
Unbalanced Cant - (Measured in Meter) - 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.
Radius of Curvature - (Measured in Meter) - The Radius of Curvature is the reciprocal of the curvature.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Railtrack Gauge - (Measured in Meter) - Railtrack Gauge is defined as the clear minimum perpendicular distance between the inner faces of the two rails.

STEP 1: Convert Input(s) to Base Unit

Cant: 130 Millimeter --> 0.13 Meter (Check conversion here)
Unbalanced Cant: 25 Millimeter --> 0.025 Meter (Check conversion here)
Radius of Curvature: 15235 Millimeter --> 15.235 Meter (Check conversion here)
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Railtrack Gauge: 1524 Millimeter --> 1.524 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_max = sqrt(((C_a+E_u)*R_curvature*g)/w) --> sqrt(((0.13+0.025)*15.235*9.8)/1.524)

Evaluating ... ...

V_max = 3.89679565851219

STEP 3: Convert Result to Output's Unit

3.89679565851219 Meter per Second --> No Conversion Required

FINAL ANSWER

3.89679565851219 ≈ 3.896796 Meter per Second <-- Maximum Velocity

(Calculation completed in 00.004 seconds)

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Credits

Created by Kaki Varun Krishna

Mahatma Gandhi Institute of Technology (MGIT), Hyderabad

Kaki Varun Krishna has created this Calculator and 25+ more calculators!

Verified by Abhinav Gupta

Defence institute of advanced technology (DRDO) (DIAT), pune

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< 9 Automobile Calculators

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Maximum Allowable Speed for Train Formula

Maximum Velocity = sqrt(((Cant+Unbalanced Cant)*Radius of Curvature*Acceleration due to Gravity)/Railtrack Gauge)
V_max = sqrt(((C_a+E_u)*R_curvature*g)/w)

What is Equilibrium Cant?

For a constant speed of a running train, the amount of required cant to achieve the balance is called equilibrium cant. In practice, trains are not running on equilibrium cants at curves.

How to Calculate Maximum Allowable Speed for Train?

Maximum Allowable Speed for Train calculator uses Maximum Velocity = sqrt(((Cant+Unbalanced Cant)*Radius of Curvature*Acceleration due to Gravity)/Railtrack Gauge) to calculate 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 calculate Maximum Allowable Speed for Train using this online calculator? To use this online calculator 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. Here is how the Maximum Allowable Speed for Train calculation can be explained with given input values -> 3.896796 = sqrt(((0.13+0.025)*15.235*9.8)/1.524).

FAQ

What is Maximum Allowable Speed for Train?

The Maximum allowable speed for Train formula is defined as the highest velocity with which the train can go without derailing or overlapping and is represented as V_max = sqrt(((C_a+E_u)*R_curvature*g)/w) or Maximum Velocity = sqrt(((Cant+Unbalanced Cant)*Radius of Curvature*Acceleration due to Gravity)/Railtrack Gauge). The cant of a railway is the rate of change in elevation (height) between the two rails or edges, 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, The Radius of Curvature is the reciprocal of the curvature, Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Railtrack Gauge is defined as the clear minimum perpendicular distance between the inner faces of the two rails.

How to calculate Maximum Allowable Speed for Train?

The Maximum allowable speed for Train formula is defined as the highest velocity with which the train can go without derailing or overlapping is calculated using Maximum Velocity = sqrt(((Cant+Unbalanced Cant)*Radius of Curvature*Acceleration due to Gravity)/Railtrack Gauge). To calculate Maximum Allowable Speed for Train, you need Cant (C_a), Unbalanced Cant (E_u), Radius of Curvature (R_curvature), Acceleration due to Gravity (g) & Railtrack Gauge (w). With our tool, you need to enter the respective value for Cant, Unbalanced Cant, Radius of Curvature, Acceleration due to Gravity & Railtrack Gauge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Maximum Velocity?

In this formula, Maximum Velocity uses Cant, Unbalanced Cant, Radius of Curvature, Acceleration due to Gravity & Railtrack Gauge. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Velocity = 0.347*sqrt((Cant+Cant deficiency)*Radius of Curvature)

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