The images below are geometrically accurate. Track boundary has had offsets applied to narrow width by 1.8m (typical road car width), so driven line radii are accurate.
No answers are given below, just an illustration of the multiple tradeoffs within a relatively simple 2 turn sector. It should show why different classes of vehicle take different lines through this and other sectors, and why even within the same class, different setups cause drivers to select different lines. The same logic can be applied to any other compromise sector, at any track.
For a start, the most basic problem a driver encounters in some cases trying to apply what most entry level books and schools recommend in terms of always using all the track width.
Given the dimensions and scale in the two images above, and assuming maximum lateral acceleration of 1G, work the following out.
1) What are the true driven radii for T7, and for T8? And the maximum speed along both?
2) If the widest possible non-closing and non-opening arc (as shown) is driven through T7, how far will the car overshoot the turn in point for T8 by, assuming the T8 line is the widest possible non-closing and non-opening arc (as also shown)?
3) What is the average yaw rate of the car through T7, and for T8 separately, on the arcs shown?
4) If the car is to stay on the arcs shown, at the point where the lines intersect, borrowing half a second from the T7 line and half a second from the T8 line across which the yaw rates can rise above what the lines will support, ignoring yaw inertia, and human control limits, what is the average yaw rate in the 1 second period centered over the point of intersection?
There are a further 9 case images - matrices involving closing and opening radii, missing one or both apexes, running to different track boundaries or not, etc. each with different compromise balances to illustrate, simulation results, supported by real life lines and their accompanying sector times but first let's try to actively work on the problem together and not just look for free and easy answers, which are often unsupported and false. Put in your time and others will put in theirs. Show your test results, and others will too.
Best Regards,
AM
No answers are given below, just an illustration of the multiple tradeoffs within a relatively simple 2 turn sector. It should show why different classes of vehicle take different lines through this and other sectors, and why even within the same class, different setups cause drivers to select different lines. The same logic can be applied to any other compromise sector, at any track.
For a start, the most basic problem a driver encounters in some cases trying to apply what most entry level books and schools recommend in terms of always using all the track width.
Given the dimensions and scale in the two images above, and assuming maximum lateral acceleration of 1G, work the following out.
1) What are the true driven radii for T7, and for T8? And the maximum speed along both?
2) If the widest possible non-closing and non-opening arc (as shown) is driven through T7, how far will the car overshoot the turn in point for T8 by, assuming the T8 line is the widest possible non-closing and non-opening arc (as also shown)?
3) What is the average yaw rate of the car through T7, and for T8 separately, on the arcs shown?
4) If the car is to stay on the arcs shown, at the point where the lines intersect, borrowing half a second from the T7 line and half a second from the T8 line across which the yaw rates can rise above what the lines will support, ignoring yaw inertia, and human control limits, what is the average yaw rate in the 1 second period centered over the point of intersection?
There are a further 9 case images - matrices involving closing and opening radii, missing one or both apexes, running to different track boundaries or not, etc. each with different compromise balances to illustrate, simulation results, supported by real life lines and their accompanying sector times but first let's try to actively work on the problem together and not just look for free and easy answers, which are often unsupported and false. Put in your time and others will put in theirs. Show your test results, and others will too.
Best Regards,
AM
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