Engines

Gears & the gearbox

Engines · Drivetrain · Demo

The engine only works between 1 000 and 7 000 rpm — gears translate that narrow band into every speed a car needs.

50100150200250km/h2k4k6k8kwheel force (N)12345air + rolling dragtop speed 208

Gear

A = always the strongest gear for the current speed, like an automatic kicking down.

Driving

The final drive multiplies every gear at once: shorter (higher number) for punch, taller for relaxed cruising and top speed. Watch the whole sawtooth slide when you move it.

Readout

Auto — riding the top of the sawtoothThis gear puts the engine closest to its torque, so the wheels get the most force the sawtooth can offer here. The gap down to the drag curve is pure acceleration.
Gear in useauto → 2
Engine speed4205 rpm
Force at the wheels5.23 kN
Drag at this speed0.26 kN
Acceleration left3.8 m/s²
0–100 km/h (auto)7.4 s
Top speed208 km/h

Real mechanics, one honest simplification: full throttle everywhere, and a fixed 90% driveline efficiency. Force at the wheels is engine torque × gear × final drive ÷ wheel radius; drag is v² aerodynamics plus rolling resistance. The sawtooth and the drag curve between them decide everything a road car can do.

In plain terms

fast, gentleslow, hard —2.3× twist
Two meshing gears — the small one spins fast and gently, the big one slow and hard

An engine is fussy about speed: below about 1 000 rpm it stalls, past 7 000 it destroys itself, and it only pulls really hard in the middle. The wheels, meanwhile, need everything from a standstill shove to a 200 km/h cruise. A gearbox is the translator — each gear trades speed for force like a lever, multiplying the engine’s twist in first gear and stretching its legs in fifth. Same engine, five personalities.

More detail

How it works

A gear is a lever made round

When a small gear drives a big one, the big one turns slower but harder — the trade is exact, like a crowbar. A 3.6:1 first gear multiplied by a 3.9:1 final drive hands the wheels fourteen times the engine’s torque. That, not engine power, is why a modest hatchback can spin its tyres from rest.

Power passes through, torque is negotiable

The gearbox never adds power — whatever kilowatts go in come out, minus a little friction. What it changes is the mix: fewer revolutions, more twist per revolution. This is why the tractive-force curves of all five gears kiss the same invisible ceiling — the engine’s power curve, translated to the road.

The sawtooth is the whole story

Plot wheel force against road speed and a geared car draws a falling sawtooth: each gear starts strong and fades as revs run out, then the next gear catches the baton lower down. The car accelerates on whatever force is left above the drag curve — and where the last tooth finally sinks into the drag, that is top speed.

Key numbers

Gear 1×14 torque at the wheels — launch and hills
Gear 5×3.1 — quiet, economical motorway cruise
ConservedPower: force × speed in ≈ out, in every gear
Top speedWhere the last gear’s force sinks into the drag curve