Vehicle Dynamics Lab

Downforce & Balance

Vehicle Dynamics · Demo

Wings and floors press the tyres down for free — until the drag bill and the balance bar arrive.

1002003002g4g6gcorner speed (km/h)cornering limitmechanical gripdrag wallbalance at 180 km/h← nose widetail out →UNDERSTEERlimited by the front axledragfrontrear423 kg pressing down

The setup sheet

Chase the highest cornering g you can hold at your corner speed — then check what it did to the drag wall and the balance bar.

Readout

Downforce at 180 km/h423 kg
…as a share of car weight53%
Cornering limit2.76 g
Balanceundersteer
Top speed (drag wall)341 km/h

Grip is computed by the same tyre model as the Tyre Grip demo — including the load sensitivity that makes downforce pay diminishing returns.

In plain terms

A tyre grips in proportion to how hard it is pressed into the road. Press it with weight and you gain nothing — the extra mass needs exactly the extra grip it brought. Press it with air and the arithmetic changes completely: wings and floors add load without adding a gram, so the cornering limit climbs with the square of speed. The catch is that downforce is bought with drag — the faster you want to corner, the slower you go in a straight line — and that where the downforce lands matters as much as how much there is: too little on the nose and the car understeers, too little on the tail and it bites.

How this is computed

Each device makes downforce in proportion to dynamic pressure,

Fdown=12ρCLAv2F_{down} = \tfrac{1}{2}\,\rho\, C_L A\, v^2

(CLAC_L A at full level: front wing 1.15 m², rear wing 1.5 m², floor 2.5 m²) and pays for it in drag at its own lift-to-drag ratio — wings ≈ 3, the floor ≈ 8 — on top of a 0.75 m² CDAC_D Abody. Axle loads are static weight (46% front) plus each device’s share of downforce, and each axle’s cornering capability comes from the same load-sensitive slick model as the Tyre Grip demo. In a steady corner each axle must supply lateral force in proportion to the massit carries, so the car’s limit is set by whichever axle runs out first:

amax=minaxles  μ(Fz)Fzmweight sharea_{max} = \min_{\text{axles}}\; \frac{\mu(F_z)\, F_z}{m \cdot \text{weight share}}

— and that axle is the under/oversteer verdict. Top speed solves P=FdragvP = F_{drag}\, v at 700 kW.

The chassis is a point mass: no lateral weight transfer, no suspension geometry, no tyre-temperature coupling, a fixed centre of pressure per device, sea-level air. The numbers land in the published F1 envelope — own-weight downforce around 180 km/h, 4–6 g fast corners, 330+ km/h in low-drag trim.