Total Train Resistance Calculator

✖Weight of Train is representing the amount of matter in a object(train).Here it is given in tonnes.ⓘ Weight of Train [w_t]			+10% -10%
✖Speed of Train is the rate at which the object covers a specific distance.ⓘ Speed of Train [V_t]			+10% -10%

✖Total Train Resistance is defined as the number of different forces which are collectively grouped to oppose the movement of Train.ⓘ Total Train Resistance [RT1]

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Formula

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Total Train Resistance

Formula

`"RT1" = 0.0016*"w"_{"t"}+0.00008*"w"_{"t"}*"V"_{"t"}+0.0000006*"w"_{"t"}*"V"_{"t"}^2`

Example

`"34.89278"=0.0016*"1300t"+0.00008*"1300t"*"149km/h"+0.0000006*"1300t"*("149km/h")^2`

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Total Train Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
RT1 = 0.0016*w_t+0.00008*w_t*V_t+0.0000006*w_t*V_t^2
This formula uses 3 Variables

Variables Used

Total Train Resistance - Total Train Resistance is defined as the number of different forces which are collectively grouped to oppose the movement of Train.
Weight of Train - (Measured in Tonne) - Weight of Train is representing the amount of matter in a object(train).Here it is given in tonnes.
Speed of Train - (Measured in Kilometer per Hour) - Speed of Train is the rate at which the object covers a specific distance.

STEP 1: Convert Input(s) to Base Unit

Weight of Train: 1300 Tonne --> 1300 Tonne No Conversion Required
Speed of Train: 149 Kilometer per Hour --> 149 Kilometer per Hour No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

RT1 = 0.0016*w_t+0.00008*w_t*V_t+0.0000006*w_t*V_t^2 --> 0.0016*1300+0.00008*1300*149+0.0000006*1300*149^2

Evaluating ... ...

RT1 = 34.89278

STEP 3: Convert Result to Output's Unit

34.89278 --> No Conversion Required

FINAL ANSWER

34.89278 <-- Total Train Resistance

(Calculation completed in 00.020 seconds)

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Created by Bhuvana Shankar

Parisutham Institute of Technology and Science (PITS), THANJAVUR

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The National Institute of Engineering (NIE), Mysuru

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< 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)

Total Train Resistance Formula

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
RT1 = 0.0016*w_t+0.00008*w_t*V_t+0.0000006*w_t*V_t^2

Different types of Train Resistance

Resistance due to Internal Parts(Rt1) is the resistance between cylinder and rim of driving wheels, resistance of other moving parts and resistance of locomotive and wagons and it is given by 0.0016w.

Resistance due to Flange Friction, Osciliations, Swaying, etc. (Rt2) is because the locomotive moves in a zig-zag manner within the limits of wheel gauge tolerence called 'Nosing Action' and it is given as 0.00008wv.

Atmospheric Resistance(Rt3) is the resistance which is developed on the ends and sides of the train when wind velocity is considered to be zero. It is low at lower speeds, but increases as the square of velocity as the speed increases and it is given as 0.0000006wv^2.

How to Calculate Total Train Resistance?

Total Train Resistance calculator uses 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 to calculate the Total Train Resistance, The Total train resistance is given as the combination of resistance due to Internal parts(Rt1),Resistance due to Flange Friction,Oscillations,Swaying,concussion of Bogies(Rt2) and Atmospheric Resistance(Rt3). Total Train Resistance is denoted by RT1 symbol.

How to calculate Total Train Resistance using this online calculator? To use this online calculator for Total Train Resistance, enter Weight of Train (w_t) & Speed of Train (V_t) and hit the calculate button. Here is how the Total Train Resistance calculation can be explained with given input values -> 34.89278 = 0.0016*1300000+0.00008*1300000*41.3888888888889+0.0000006*1300000*41.3888888888889^2.

FAQ

What is Total Train Resistance?

The Total train resistance is given as the combination of resistance due to Internal parts(Rt1),Resistance due to Flange Friction,Oscillations,Swaying,concussion of Bogies(Rt2) and Atmospheric Resistance(Rt3) and is represented as RT1 = 0.0016*w_t+0.00008*w_t*V_t+0.0000006*w_t*V_t^2 or 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. Weight of Train is representing the amount of matter in a object(train).Here it is given in tonnes & Speed of Train is the rate at which the object covers a specific distance.

How to calculate Total Train Resistance?

The Total train resistance is given as the combination of resistance due to Internal parts(Rt1),Resistance due to Flange Friction,Oscillations,Swaying,concussion of Bogies(Rt2) and Atmospheric Resistance(Rt3) is calculated using 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. To calculate Total Train Resistance, you need Weight of Train (w_t) & Speed of Train (V_t). With our tool, you need to enter the respective value for Weight of Train & Speed of Train 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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