Wheel Torque Calculator (Gearing, Tractive Force and Road Speed)
Torque at the wheels, the pushing force at the road and the road speed at a given engine speed, from the engine torque, the gear and final-drive ratios and the tyre radius.
Results
The dashed line marks the value you entered.
What this tool does
Gearing multiplies torque: wheel torque is the engine torque times the gearbox ratio times the final-drive ratio, less the losses in the drivetrain — 85–90 % is a commonly assumed efficiency for a manual gearbox. Dividing by the tyre's rolling radius turns it into the force pushing the car along, which is why first gear pulls hardest while a tall gear trades force for speed. Power is the same in every gear; gearing only decides how it is split between force and speed. The real limit on launch is grip: the tyres cannot transmit more than the friction coefficient times the load on the driven wheels, so this tractive force is a ceiling before slip.
Formula
wheel torque = engine torque × gearbox ratio × final drive × η · F = wheel torque ÷ tyre radius · v = 2π n r ÷ (60 × gearbox × final drive)
Variables
| Symbol | Meaning | Unit |
|---|---|---|
tq | Engine torque | N·m |
gr | Gearbox ratio in the chosen gear | — |
fd | Final drive (differential) ratio | — |
ef | Drivetrain efficiency (gearbox, differential, shafts) | % |
rr | Rolling radius of the tyre | mm |
rp | Rotational speed | rpm |
WT | Torque at the driven wheels | N·m |
FT | Tractive force at the road (before slip) | N |
RS | Road speed at that engine speed | km/h |
EP | Engine power at that torque and speed | kW |
WR | Wheel speed | rpm |
Worked example
- Engine torque250 N·m
- Gearbox ratio in the chosen gear3.5
- Final drive (differential) ratio3.9
- Drivetrain efficiency (gearbox, differential, shafts)90 %
- Rolling radius of the tyre316 mm
- Rotational speed3000 rpm
- Torque at the driven wheels3071 N·m
- Tractive force at the road (before slip)9719 N
- Road speed at that engine speed26.2 km/h
- Engine power at that torque and speed78.5 kW
- Wheel speed220 rpm
Limitations
- The result is an estimate based only on the values you type. Real situations often include factors this calculator does not know about.
- Mixing units is the most common source of error. Convert every input to the units shown next to each field before calculating.