Cornering speed calculator
Grip sets the maximum lateral acceleration, and that plus the radius sets the speed.
degrees
Maximum cornering speed
105.76km/h
- In miles per hour
- 65.71
- On a flat corner
- 105.76
- Lateral acceleration
- 1.100
- Lateral force
- 15 102 N
- Effective grip with banking
- 1.1000
Show the working
- Corner radius = 80
- Coefficient of friction = 1.1
- Banking = 0
- Vehicle mass = 1400
- theta = rad(0) = 0
- Effective grip with banking = (1.1 + tan(0)) / (1 - 1.1*tan(0)) = 1.1
- speed_ms = sqrt(max(1.1, 0) * g0 * 80) = 29.3766
- Maximum cornering speed = 29.3766 * 3.6 = 105.756
- In miles per hour = 105.756 / 1.609344 = 65.7136
- Lateral acceleration = 80 > 0 ? 29.3766^2 / 80 / g0 : 0 = 1.1
- Lateral force = 1400 * 29.3766^2 / 80 = 15 102.2
- On a flat corner = sqrt(1.1 * g0 * 80) * 3.6 = 105.756
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- flat corner: v = sqrt(mu g r)
- banked: v = sqrt(g r (mu + tan theta) / (1 - mu tan theta))
Road tyres reach about 0.9 g on dry asphalt, performance tyres 1.1, and slicks well over 1.5.
Banking multiplies grip rather than adding to it, which is why oval speedways can be so fast.