# Online Calculation of the Pulling Force and Power / achievable Speed

By default the required power and the necessary pulling force of a Railjet (locomotive „Taurus“ 1116 and seven passenger cars) at a speed of 230 km/h are calculated.

• Suitable values for cars, bicycles and other trains you can find by „Make a choice“.
• With the default values you are able to perform a calculation immediately by simply pressing the button „Calculate“ or the enter key!
• You can do the calculation several times, too. Just change the values in the white fields!

This calculator uses SI units!!

## Pulling Force and Power Calculator

 Make a choice:   Taurus 1116 with Railjet Taurus 1116 with freigth ICE 2 (DB) 4020 (rapid transit railway) 4020 – goes downhill Garden railway 5 Zoll (Electric)car Coach Truck – semi-trailer Cyclist (trekking bike) Rail condition:   Dry Wet Slightly oily Road condition: Dry Wet Snowy Icy
 Number of cars Coefficient of friction

Please enter a number in seven of the following eight fields, the empty field will be calculated!

 Driving/braking power* kW Speed km/h Gradient* %
 Mass of the loco t Mass of one car t Acceleration/decel.* m/s²

Results and error messages (these values are computed by the calculator)

 Required coef. of friction Required pulling force kN
 Starting tractive effort kN Current consumption A

### For experts: entering special values

The following 16 fields must all be filled out!
Make sure to use the correct cross-sectional area!

 Efficiency of the drive % Efficiency of the engine % Cross sectional area m² Supply voltage V Head-/tailwind* km/h Air density kg/m³ Curve resistance Factor of rotating masses
 Driven axles Total number of axles Rolling resistance of the loco Rolling resistance of the cars Air resistance coefficient – loco Air resistance coeff. – first car Air resistance – intermediate car Air resistance coeff. -last car

For these values set a minus in front of the number!

## Instructions for this Calculator

• One oft the following items can be calculated if all the other values are known:
• Maximum speed. Normally the maximum speed is limited by the engine’s running speed.
• Power and traction force
• Maximum tractive effort on starting as a result of the coefficient of static friction.
• Possible acceleration
• Mass of the railroad cars
• Coefficient of static friction required
• The listed coefficients of friction apply only at relatively low speeds.
• As comma you have to use a point.
• When calculating, engine and drive efficiency can be considered. As standard, an efficiency of 100% is assumed!
• The calculation is only valid if the load on each axle is approximately the same.
• No guarantee can be given for the correct function – for corrections and suggestions for improvement, please use the contact form!

## Comparative Values for Maximum Traction, Hourly Power, Mass and µH

Please note: the maximum traction is given in kN, the hourly power in kW and the mass in t! K is the abbreviation for kilo and means 1000, so 1 kW = 1000 W, 1 kN = 1000 N.

 Example (ÖBB) Maximum Tractionin kN Hourly Powerin kW Massin t µH * Loco 1016/1116 300 6400 86 0.356 Loco 1044/1144 327 5400 84 0.397 Loco 2016 235 2000 80 0.299 Loco 2043 196 1104 68 0.294 Electrical multiple unit 4020 117 1200 129 Railcar 5047 68 419 47

Source: Wikipedia

* Necessary coefficient of friction when starting, calculated from the given values.