Distance Travelled by Outer Wheels of Railway Vehicle Calculator

✖Mean Radius of The Curve of Railway Track is the mean value of outer curve radius and inner radius curve of railway track.ⓘ Mean Radius of The Curve of Railway Track [R_m]			+10% -10%
✖Gauge of track is the distance between the two rails of a railway track.ⓘ Gauge of Track [G]			+10% -10%
✖Angle Substended by Axle of Railway Vehicle is the angle which an axle of a railway vehicle moves from one place to another.ⓘ Angle Substended by Axle of Railway Vehicle [α]			+10% -10%

✖The Distance Travelled by Outer Wheels is the distance covered by outer wheels of the train in meter.ⓘ Distance Travelled by Outer Wheels of Railway Vehicle [D_o]

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Formula

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Distance Travelled by Outer Wheels of Railway Vehicle

Formula

`"D"_{"o"} = ("R"_{"m"}+("G"/2))*("α")`

Example

`"2447.9m"=("187.5m"+("1.6m"/2))*("13")`

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Distance Travelled by Outer Wheels of Railway Vehicle Solution

STEP 0: Pre-Calculation Summary

Formula Used

The Distance Travelled by Outer Wheels = (Mean Radius of The Curve of Railway Track+(Gauge of Track/2))*(Angle Substended by Axle of Railway Vehicle)
D_o = (R_m+(G/2))*(α)
This formula uses 4 Variables

Variables Used

The Distance Travelled by Outer Wheels - (Measured in Meter) - The Distance Travelled by Outer Wheels is the distance covered by outer wheels of the train in meter.
Mean Radius of The Curve of Railway Track - (Measured in Meter) - Mean Radius of The Curve of Railway Track is the mean value of outer curve radius and inner radius curve of railway track.
Gauge of Track - (Measured in Meter) - Gauge of track is the distance between the two rails of a railway track.
Angle Substended by Axle of Railway Vehicle - Angle Substended by Axle of Railway Vehicle is the angle which an axle of a railway vehicle moves from one place to another.

STEP 1: Convert Input(s) to Base Unit

Mean Radius of The Curve of Railway Track: 187.5 Meter --> 187.5 Meter No Conversion Required
Gauge of Track: 1.6 Meter --> 1.6 Meter No Conversion Required
Angle Substended by Axle of Railway Vehicle: 13 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_o = (R_m+(G/2))*(α) --> (187.5+(1.6/2))*(13)

Evaluating ... ...

D_o = 2447.9

STEP 3: Convert Result to Output's Unit

2447.9 Meter --> No Conversion Required

FINAL ANSWER

2447.9 Meter <-- The Distance Travelled by Outer Wheels

(Calculation completed in 00.004 seconds)

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Credits

Created by Md Anisur Rahman

Indian Institute of Technology Patna (IIT Patna), Patna, Bihar

Md Anisur Rahman has created this Calculator and 10+ more calculators!

Verified by Rachana B V

The National Institute of Engineering (NIE), Mysuru

Rachana B V has verified this Calculator and 50+ more calculators!

< 9 Traction and Tractive Resistances Calculators

Total Train Resistance

Go Total Train Resistance = 0.0016*Weight of Train+0.00008*Weight of Train* Speed of Train+0.0000006*Weight of Train*Speed of Train^2

Resistance due to Acceleration

Go Resistance due to Acceleration = (0.028*Weight of Train)*(Final Velocity of The Train-Initial Velocity of Train)/(Time Taken to Achieve Final Velocity)

Distance Travelled by Outer Wheels of Railway Vehicle

Go The Distance Travelled by Outer Wheels = (Mean Radius of The Curve of Railway Track+(Gauge of Track/2))*(Angle Substended by Axle of Railway Vehicle)

Distance Travelled by Inner Wheels of Railway Vehicle

Go The Distance Travelled by Inner Wheels = (Mean Radius of The Curve of Railway Track-(Gauge of Track/2))*(Angle Substended by Axle of Railway Vehicle)

Coefficient of Friction for given Hauling Capacity of Locomotive

Go Coefficient of Friction for Locomotive = Hauling Capacity of a Locomotive/(Weight on Driving Axle*No of Pairs of Driving Wheels)

Hauling Capacity of Locomotive

Go Hauling Capacity of a Locomotive = Coefficient of Friction for Locomotive*Weight on Driving Axle*No of Pairs of Driving Wheels

Resistance Due to Gradients

Go Resistance due to Gradients = Weight of Train*(Slope Percentage/100)

Wind Resistance

Go Wind Resistance = 0.000017*Exposed Area*Velocity of Wind^2

Resistance due to Starting for Vehicles

Go Resistance due to Starting for Train Vehicle = 0.005*(Weight of Train)

Distance Travelled by Outer Wheels of Railway Vehicle Formula

The Distance Travelled by Outer Wheels = (Mean Radius of The Curve of Railway Track+(Gauge of Track/2))*(Angle Substended by Axle of Railway Vehicle)
D_o = (R_m+(G/2))*(α)

What is Tractive resistance?

The various resisting forces which a locomotive has to encounter before starting a train and to keep it in motion , such resistances are called as Tractive resistance.

How to Calculate Distance Travelled by Outer Wheels of Railway Vehicle?

Distance Travelled by Outer Wheels of Railway Vehicle calculator uses The Distance Travelled by Outer Wheels = (Mean Radius of The Curve of Railway Track+(Gauge of Track/2))*(Angle Substended by Axle of Railway Vehicle) to calculate the The Distance Travelled by Outer Wheels, Distance Travelled by Outer Wheels of Railway Vehicle formula is defined as the distance covered by outer wheel of the railway vehicle in meter. The Distance Travelled by Outer Wheels is denoted by D_o symbol.

How to calculate Distance Travelled by Outer Wheels of Railway Vehicle using this online calculator? To use this online calculator for Distance Travelled by Outer Wheels of Railway Vehicle, enter Mean Radius of The Curve of Railway Track (R_m), Gauge of Track (G) & Angle Substended by Axle of Railway Vehicle (α) and hit the calculate button. Here is how the Distance Travelled by Outer Wheels of Railway Vehicle calculation can be explained with given input values -> 2447.9 = (187.5+(1.6/2))*(13).

FAQ

What is Distance Travelled by Outer Wheels of Railway Vehicle?

Distance Travelled by Outer Wheels of Railway Vehicle formula is defined as the distance covered by outer wheel of the railway vehicle in meter and is represented as D_o = (R_m+(G/2))*(α) or The Distance Travelled by Outer Wheels = (Mean Radius of The Curve of Railway Track+(Gauge of Track/2))*(Angle Substended by Axle of Railway Vehicle). Mean Radius of The Curve of Railway Track is the mean value of outer curve radius and inner radius curve of railway track, Gauge of track is the distance between the two rails of a railway track & Angle Substended by Axle of Railway Vehicle is the angle which an axle of a railway vehicle moves from one place to another.

How to calculate Distance Travelled by Outer Wheels of Railway Vehicle?

Distance Travelled by Outer Wheels of Railway Vehicle formula is defined as the distance covered by outer wheel of the railway vehicle in meter is calculated using The Distance Travelled by Outer Wheels = (Mean Radius of The Curve of Railway Track+(Gauge of Track/2))*(Angle Substended by Axle of Railway Vehicle). To calculate Distance Travelled by Outer Wheels of Railway Vehicle, you need Mean Radius of The Curve of Railway Track (R_m), Gauge of Track (G) & Angle Substended by Axle of Railway Vehicle (α). With our tool, you need to enter the respective value for Mean Radius of The Curve of Railway Track, Gauge of Track & Angle Substended by Axle of Railway Vehicle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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