Speed given Speed Factor Calculator

✖Speed Factor is a value which is used to change the static rail load to a dynamic rail load.ⓘ Speed Factor [F_sf]			+10% -10%
✖Track modulus is the vertical stiffness of rail foundation.ⓘ Track Modulus [k]			+10% -10%

✖Speed of Train is the rate at which the object covers a specific distance.ⓘ Speed given Speed Factor [V_t]

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Formula

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Speed given Speed Factor

Formula

`"V"_{"t"} = "F"_{"sf"}*(18.2*sqrt("k"))`

Example

`"140.9766km/h"="2"*(18.2*sqrt("15kgf/m²"))`

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Speed given Speed Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Speed of Train = Speed Factor*(18.2*sqrt(Track Modulus))
V_t = F_sf*(18.2*sqrt(k))
This formula uses 1 Functions, 3 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

Speed of Train - (Measured in Kilometer per Hour) - Speed of Train is the rate at which the object covers a specific distance.
Speed Factor - Speed Factor is a value which is used to change the static rail load to a dynamic rail load.
Track Modulus - (Measured in Kilogram-Force per Square Meter) - Track modulus is the vertical stiffness of rail foundation.

STEP 1: Convert Input(s) to Base Unit

Speed Factor: 2 --> No Conversion Required
Track Modulus: 15 Kilogram-Force per Square Meter --> 15 Kilogram-Force per Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_t = F_sf*(18.2*sqrt(k)) --> 2*(18.2*sqrt(15))

Evaluating ... ...

V_t = 140.97659380195

STEP 3: Convert Result to Output's Unit

39.1601649449861 Meter per Second -->140.97659380195 Kilometer per Hour (Check conversion here)

FINAL ANSWER

140.97659380195 ≈ 140.9766 Kilometer per Hour <-- Speed of Train

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Transportation Engineering » Railway Engineering » Railway Track and Track Stresses » Vertical Loads » Speed Factor » Speed given Speed Factor

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 6 Speed Factor Calculators

Speed given Speed Factor

Go Speed of Train = Speed Factor*(18.2*sqrt(Track Modulus))

Speed Factor

Go Speed Factor = Speed of Train/(18.2*sqrt(Track Modulus))

Speed Factor using German Formula and Speed is above 100kmph

Go Speed Factor = ((4.5*Speed of Train^2)/10^5)-((1.5*Speed of Train^3)/10^7)

Track Modulus given Speed Factor

Go Track Modulus = (Speed of Train/(18.2*Speed Factor))^2

Speed using German Formula

Go Speed of Train = sqrt(Speed Factor*30000)

Speed Factor according to German Formula

Go Speed Factor = (Speed of Train^2)/30000

Speed given Speed Factor Formula

Speed of Train = Speed Factor*(18.2*sqrt(Track Modulus))
V_t = F_sf*(18.2*sqrt(k))

What is Track Modulus?

Track modulus, like the modulus of elasticity, is an index of measurement of resistance to deformation. It is defined as the load in kilograms per unit rail length required to produce one unit depression in the rail bottom. The unit of track modulus is kg/cm^2.

How to Calculate Speed given Speed Factor?

Speed given Speed Factor calculator uses Speed of Train = Speed Factor*(18.2*sqrt(Track Modulus)) to calculate the Speed of Train, Speed given Speed Factor is speed of train which is referred as rate at which object or train covers specific distance. unit in kmph. Speed of Train is denoted by V_t symbol.

How to calculate Speed given Speed Factor using this online calculator? To use this online calculator for Speed given Speed Factor, enter Speed Factor (F_sf) & Track Modulus (k) and hit the calculate button. Here is how the Speed given Speed Factor calculation can be explained with given input values -> 507.5157 = 2*(18.2*sqrt(147.09974999999)).

FAQ

What is Speed given Speed Factor?

Speed given Speed Factor is speed of train which is referred as rate at which object or train covers specific distance. unit in kmph and is represented as V_t = F_sf*(18.2*sqrt(k)) or Speed of Train = Speed Factor*(18.2*sqrt(Track Modulus)). Speed Factor is a value which is used to change the static rail load to a dynamic rail load & Track modulus is the vertical stiffness of rail foundation.

How to calculate Speed given Speed Factor?

Speed given Speed Factor is speed of train which is referred as rate at which object or train covers specific distance. unit in kmph is calculated using Speed of Train = Speed Factor*(18.2*sqrt(Track Modulus)). To calculate Speed given Speed Factor, you need Speed Factor (F_sf) & Track Modulus (k). With our tool, you need to enter the respective value for Speed Factor & Track Modulus 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 Speed of Train?

In this formula, Speed of Train uses Speed Factor & Track Modulus. We can use 1 other way(s) to calculate the same, which is/are as follows -

Speed of Train = sqrt(Speed Factor*30000)

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