Post by Admin on Sept 28, 2020 3:56:26 GMT
Haven't tested the sheet version much but I don't put much stock into it.
This pertains to "each track has to be tested" each track yields differently!
My practice laps:
1 1:58.535s 0.330s 1:58.205s 616 616 694 634 578 317 Soft
2 1:59.394s 1.189s 1:58.205s 616 616 694 634 578 317 Extra Soft
3 1:49.527s 0.922s 1:48.605s 616 616 694 634 578 317 Rain
4 1:49.340s 0.984s 1:48.356s 516 716 694 634 578 317 Rain
5 1:50.418s 1.208s 1:49.210s 416 816 694 634 578 317 Rain
First two can be ignored (I just wanted to confirm TCD in the rain was 0 between different dry tire types). So we focus on laps 3,4 and 5.
Notice that aside from the wing split the set up is the exact same in all 3, same wing sum, engine value, tire type etc.
In lap 3 I had a time of 108.605 seconds with wingsplit of 0, lap 4-> 108.365 wingsplit -200. lap 5 ->109.210 wingsplit -400
(from previous races in Melbourne I knew my split would be towards the rear so I focused my times that way).
Next go to wolfram alpha www.wolframalpha.com/ and type in (for my figures) quadratic fit{{0, 108.605},{-200, 108.365},{-400,109.210}} and hit enter.
A little down the page you should see Least-squares best fit: (if not search for the term) and a polynomial under it,
in my case 108.605+0.0039125 x+0.0000135625 x^2. Click on the polynomial.
Go down to the Complex Roots section of the page (again search for the term if you can't find it). You will see the two roots
In my case -144.24-2826.12i and -144.24+2826.12i. Don't worry about the complex parts, all we are interested in is the real part
(it gives the global minimum of the quadratic, aka the minimum time). So my wing split should be -144 to the rear or front wing
value of 544 and rear wing value of 688.
For practice laps to do this with I recommend using wing splits that are relatively far apart if you don't know where the wing split
should be approximately but use wing splits around what you expect to be the correct value if you have an idea from previous races.
As an aside I ran a practice lap at -144 and got a time of 108.329 seconds:).
The method isn't 100% accurate as you only know your lap times correct to 3 decimal places.
Running more practice laps with different wing splits can make this more accurate but generally
I have found the gain to be minimal and generally of the order a few hundredths of a second and sometimes not even that.
I know the method isn't the easiest to understand but hopefully you get the gist. Any questions just ask.
This pertains to "each track has to be tested" each track yields differently!
My practice laps:
1 1:58.535s 0.330s 1:58.205s 616 616 694 634 578 317 Soft
2 1:59.394s 1.189s 1:58.205s 616 616 694 634 578 317 Extra Soft
3 1:49.527s 0.922s 1:48.605s 616 616 694 634 578 317 Rain
4 1:49.340s 0.984s 1:48.356s 516 716 694 634 578 317 Rain
5 1:50.418s 1.208s 1:49.210s 416 816 694 634 578 317 Rain
First two can be ignored (I just wanted to confirm TCD in the rain was 0 between different dry tire types). So we focus on laps 3,4 and 5.
Notice that aside from the wing split the set up is the exact same in all 3, same wing sum, engine value, tire type etc.
In lap 3 I had a time of 108.605 seconds with wingsplit of 0, lap 4-> 108.365 wingsplit -200. lap 5 ->109.210 wingsplit -400
(from previous races in Melbourne I knew my split would be towards the rear so I focused my times that way).
Next go to wolfram alpha www.wolframalpha.com/ and type in (for my figures) quadratic fit{{0, 108.605},{-200, 108.365},{-400,109.210}} and hit enter.
A little down the page you should see Least-squares best fit: (if not search for the term) and a polynomial under it,
in my case 108.605+0.0039125 x+0.0000135625 x^2. Click on the polynomial.
Go down to the Complex Roots section of the page (again search for the term if you can't find it). You will see the two roots
In my case -144.24-2826.12i and -144.24+2826.12i. Don't worry about the complex parts, all we are interested in is the real part
(it gives the global minimum of the quadratic, aka the minimum time). So my wing split should be -144 to the rear or front wing
value of 544 and rear wing value of 688.
For practice laps to do this with I recommend using wing splits that are relatively far apart if you don't know where the wing split
should be approximately but use wing splits around what you expect to be the correct value if you have an idea from previous races.
As an aside I ran a practice lap at -144 and got a time of 108.329 seconds:).
The method isn't 100% accurate as you only know your lap times correct to 3 decimal places.
Running more practice laps with different wing splits can make this more accurate but generally
I have found the gain to be minimal and generally of the order a few hundredths of a second and sometimes not even that.
I know the method isn't the easiest to understand but hopefully you get the gist. Any questions just ask.