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.
Furthermore, you will find on this page:
This calculator uses SI units!!
* For these values set a minus in front of the number!
>> Here you will find additional information for the values to be entered.
One oft the following items can be calculated if all the other values are known:
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 Traction
in kN |
Hourly Power
in kW |
Mass
in 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.
The maximum pulling force is calculated by the following formula:
FZ.max
mLok
g
α
Achsenangetrieben
Achsenalle
µH
Maximum pulling force in NLok
Mass of the locomotive in kga
Acceleration due to gravity in m/s²
Gradient angle in ° (for small angles cos α can be set to one)
Number of driven axlesa
Total number of axlesa
For the acceleration of gravity 9.81 m/s² is used, for µH see my page coefficient of friction (in German). If all axles are driven, the term Achsenangetrieben/Achsenalle is dropped out. If not all the axles of the loco are driven, the formula applies only if each axle carries approximately the same load.
The required pulling force during starting must always be less than the maximum available traction, otherwise the driving
wheels will spin. The required pulling force can be calculated by the following formula:
FZ
mLok
mWagen
g
wR
wL
wS
wK
wB
Required pulling force in NLok
Mass of the locomotive in kgLok
Total mass of all the cars in kgLok
Acceleration due to gravity in m/s²
Rolling resistanceLok
Air resistanceLok
Gradient resistanceLok
Curve resistanceLok
Resistance of acceleration
How to calculate the different resistances
is described on a separate page (only in German available):
The power that is required can be calculated by the following way:
P = FZ⋅v
P
FZ
v
Required power in W
Pulling Force in NmLok
Speed in m/s