Without wishing to be too disparaging at your attempt at lower sixth dynamics, you clearly have no idea what the 3m/s/s is derived from. Yaw rates, forward velocity vectors and centripetal forces / centripetal acceleration is well beyond a discussion on this forum.No, that is incorrect. The regulations are built to allow AutoSteer on motorways which have very wide corners. The limit is 3m/s^2, from this you can work out the maximum speed that can be used to take a corner.
The formula is a = v^2 /R where a is acceleration, v the speed, and R the radius of turn. So rearranging this to R = v2 /a
Lets assume you are driving at 15mph when taking a roundabout, 15mph = 6.7m/s. With a limit of 3 m/s^2 for acceleration R = (6.7)^2 / 3 = 14m
Here is a typical roundabout near me, not a mini roundabout but a proper roundabout with a little garden in the middle. As you can see from the measurement there is no way that you could keep on the carriageway at 15mph when using this roundabout.
View attachment 873511
and here is a miniroundabout
View attachment 873512
It is physically impossible to self-drive on these type of roads with the 3m/s^2 limit on Autosteer, the reality is that when we are driving ourselves, we pull at least 8 m/s^2 or much more.
Current regulations prevent FSD in the UK and EU.
The upper limit for a typical road car, in excellent condition, new tyres, properly inflated, on a flat road cornering on a consistent radius curve is 9m/s/s. However, if you want to allow for a linear response (the one that allows most drivers to properly react to cornering forces, allow for differences in pneumatic pressure, suspension wear, tyre wear etc- lateral acceleration limit is around 3m/s/s. If you try to corner at 8m/s/s you are nothing less than a hooligan looking to kill yourself or others. That's why the limit has been set at a very sensible level - based on science, not sentiment.