Idea for Greater Toronto-Hamilton Area Highway Rush-Hour tolls

I usually talk about racing, but this has been on my mind as of late. 

Toronto needs more revenue. Toronto also needs work done to the roads. Toronto also needs less cars clogging the already-choking highway system around the area. People also balk at Toronto-only taxes and fees that would “unfairly” penalise Torontonians when those from outside Toronto commute in for free. 

My idea is simple, and it is inspired by the Swedes. Stockholm suffered from massive congestion into the old city where only six bridges connected it with the surrounding neighbourhoods. They instituted small tolls (worth roughly a dollar), and that shifted the balance to transit, as suddenly it wasn’t much more expensive to take transit than it was to drive. 

I want to do the same with the GTHA. The plan is simole: institute $1 tolls for each city you drive through, during rush-hour, on a highway. Each dollar goes to the city you drove through. 

Say you commute from Burlington to Toronto via the QEW and Gardiner. One dollar would go to Burlington, one dollar to Oakville, one dollar to Mississauga and finally one dollar to Toronto. Each city would then earn a dollar on your return trip. $8 to drive downtown during rush-hour from three cities away is completely fair. A similar example would be a commuter driving from Toronto to Brampton would pay a dollar to Toronto, a dollar to Mississauga and a dollar to Brampton when they drive up the 410.

This would shift the balance to transit. A round trip from Burlington to Toronto is around $15. Gas to drive is around $8, so add an $8 toll and suddenly it’s cheaper to take the train. It’s also now a premium worth paying for, since the roads will be far clearer. Since congestion has an exponential relationship to traffic volume, even reducing it 10% could have a dramatic effect on traffic flow. Add to that reduced pollution from cars, and it’s hard to see why there is so much opposition. 

Each city can earmark at least part of that dollar for infrastructure, and each city will benefit from those who don’t live there, work there or spend any money there but take advantage of their roads. Those who complain about the vehicle tax will be vindicated as the “out-of-towners” will be paying for what they use instead of Torontonians paying for what they may or may not use. 

This would apply to any major highway, at each city’s discretion. For example, Toronto could implement it for 401, Gardiner Expressway, DVP, 404 and 427. It could run from 7am to 10 am, and 3pm to 7pm.

Something needs to be done about our reliance on cars, our avoidance of transit and those taking advantage of a vast but crumbling infrastructure to commute through several cities over many kilometres simply to work for the day and take their money home with them. 

Still want to drive your car to work? Not a problem, just pay what is fair and have a quicker, less stressful journey. Don’t mind taking transit? Thanks for helping us all breathe easier and for easing congestion. 


The Future of F1 – Pitstop Edition

There have been a few articles about F1 safety in the pitlane, and I agree with most of them.

First, I mostly agree with Gary Anderson that pitstops should be slowed down. He makes some excellent points; the problem is that two team members per wheel is doesn’t cut down much on the number of team members and won’t slow down pitstops by much.

Second, I disagree with Bernie Ecclestone that camera operators should be relegated to the pit wall only. The danger is not that they are in the pitlane, the danger is that they face away from traffic.

Third, I agree with all of the journalists that have said that anyone in the hot pit should have the same safety gear as F1 team members; however, perhaps both team members and other personnel in the pitlane should have increased protection.

Here’s what I would do about it if I made the rules in F1: Continue reading

The Future of F1 – What I would like to see and why

The objective for this is to determine what makes for good racing, and then how it would be best achieved through technical changes to the cars.


1. Passing should be a challenge, but not impossible. Clearly the grooved tire era (1998-2008) made passing very difficult, and 2009 was a slight improvement with slicks and the current aero rules. The cars between 1987 and 1997 struck a pretty good balance between the ability to pass and the challenge of passing. The main aim is to revive the concept of “catching him is one thing, passing is another”; right now with DRS, the lead driver is too much of a sitting duck, and I fear we are robbed of many exciting overtakes as drivers have the easy option of opening their wing and driving by on a straight. To make matters worse, unlike slipstreaming where you lose it once you pull out of line from the car ahead, you retain this advantage until you hit the brakes – instead of going head-to-head into the braking zone, in many cases the passing driver can pull over onto the racing line without any challenge.

2. The cars should be difficult to drive. With the advent of the current V8 engines, the cars were less powerful and easier to drive. Rather than a peaky V10 making 950 bhp, the more (relatively) docile V8 making 750-800 bhp was just enough to make it manageable for almost any driver on the grid.

3. The cars should be technologically advanced. Limiting engine development makes the cars less interesting. Endless aero development is interesting to some people, but is largely lost to the general public. Suspension tuning has been almost entirely forgotten since McLaren’s J-Damper. Realisitcally, the balance of development in those three main areas (aero, engine, suspension) should be relatively even.

I will include numbers below so it’s clear which objectives each change relates to.

Methods to achieve those objectives:

Change the wings from complex, multi-element wings to simpler, single element wings, front and rear. This would reduce downforce from the wings which allows cars to run closer (1); it would also increase drag, eliminating the need for DRS as slipstreaming would become much more prevalent (1); and even increase sponsor visibility. Aero development would still exist and be relevant (3), but it will be less effective to spend millions on aero when you can tackle engine development as well.

Revert to pre-1993 tire sizes and wheel-tracks. This would increase mechanical grip, allowing the cars to run closer (1); and increase drag, further increasing the effect of slipstreaming (1). Also, the cars just look so much better when they are wider and run wider tires!

Ensure the tires remain soft and sticky. The move from Bridgestone’s durable tires in 2010 to Pirelli’s sticky but less durable tires in 2011 showed that passing was improved. If we take the Turkish GP from that year, many passes were completed between corners 8 and 9; this was one corner before the DRS zone, thus showing that DRS had a negligible effect, if any, on these passes. Also, there was lots of action in the final three corners of the circuit – these are slower corners where aero effects were minimal. Softer tires could be achieved either by mandating this to a single supplier, which could be difficult to implement, or open up the series to other manufacturers; the latter would ensure that tires are as soft as possible without them falling apart.

One way to ensure that tires wouldn’t end up being bespoke, like the case of Ferrari and Bridgestone, is to increase wheel diameter to 18 inches. The problem with Ferrari and Bridgestone was that the tire was a very important element of the suspension, given that the wheels are limited to a 13 inch diameter. Moving to 18 inch wheels would reduce the effect of the tire on the suspension characteristics, and therefore make it less likely for one team to gain a huge advantage with one tire manufacturer (1). Of course, brakes are inherently limited by the wheel diameter, so some new rules would have to be determined there to prevent the cars from having insane braking capabilities. Perhaps a move to steel brake discs could be possible, which could also have the effect of encouraging outbraking manoeuvers as they allow for greater feel (1). The 18 inch wheels and tires would also then make the technology and appearance much more relevant to modern day cars (3).

Allow more underbody downforce to compensate for the loss of downforce due to the single element wings. Underbody downforce is less affected by proximity to other cars, compared to downforce from wings, and therefore allows for closer racing (1). This also ensures that the cars will remain unbelievably fast in the corners (2, 3).

Give the cars more power. Making it difficult to lay down the power will make the cars more entertaining to watch when alone on the track (2), and the drivers will be more prone to making mistakes which will promote overtaking (1, 2). If the lead driver is too hard on the throttle exiting a corner, the car will slide and he will have to lift off the throttle (2); that will hurt the exit and the following driver will have a chance to strike. Reverting to 900+ bhp

Make KERS/ERS a full-time part of the drivetrain. Having KERS/ERS as a push-to-pass gimmick makes development of the system much less important (3). By making the system full-time, it will gain relevance and also provide the driver with more power at any given time; going back to the previous point, this will make the car more difficult to drive (1, 2). A 600 bhp engine with 300+ bhp worth of electric motors would make for a very interesting package (3). Also, allowing more open development on the electric side could mean a further reduction in engine power for future years, where it could end up at 400 bhp engines and 550 bhp electric motors (3). This would depend largely on what the general public likes and what the engine manufacturers want.

In conclusion, the cars would have wider tires, wider wheel tracks, less efficient and less effective single-element wings with more efficient and effective underbodies; they would also have more powerful hybrid engines that have a greater reliance on the electric side. This would result in cars that are still blindingly quick, exciting to watch by themselves and allow for overtaking in the corners without making it a foregone conclusion. This would also make the cars more amenable to slipstreaming, thus eliminating any need for DRS.

Formula 1 cars would look quite different, but the racing would also be quite different as well, and all for the better.

How much faster are racing tires?

So a few weeks ago, I unknowingly got into a contretemps with Paul Hembery on Twitter.  Someone posted the question “how much slower would road tires be on an F1 car?”; Paul didn’t mention a time difference, so I commented on it and suggested what might happen to the tire from all the downforce and loading.

Sometimes I comment on people’s questions and answers to various people on Twitter.  After all, if they are replying in public, clearly they are leaving it open to comments from the public. I replied a different answer to what he replied, commenting on the propensity of road tires to chunk their shoulders when loaded excessively.  His reply?

@malcolm33 it seems you know nothing about what you are talking about with the last comment. Intelligent opinions valid and welcome.

I was blocked after, so seeking clarification on his opinion was suddenly not possible.

After a minute, I started to think about why he might think have said that.  Perhaps it was because he viewed it as an attack on his beloved P-Zeroes, or maybe it was because we had a different set of assumptions governing our replies.  I believe he mentioned something about never getting heat into them and them lasting an incredibly long distance (he said “forever”, but clearly meant considerably longer than an F1 race distance).  I disagree with that.

I think I do know a bit of what I speak, since I also have a degree in mechanical engineering, have worked as a race engineer more than a few times and have 18 years racing experience as a driver (six years in karts, twelve years in cars – mostly GT, with a tiny bit of sports-racer and open wheel testing thrown in).  None of that has been in F1, or working directly with tire companies engineering their tires, but I definitely know how tires behave on the track, and how they can wear and degrade.

Firstly, how would a road tire react to an F1 car?  Assuming it was a Y-rated tire that could withstand the top-speeds, it shouldn’t explode at the end of a long straight.  I also doubt that tire-failure would occur in fast corners or heavy braking due to extremely high loads, but the tread pattern would definitely suffer from tread squirm.  Because of the tread squirm, the tire would heat up very quickly, likely overheating before the end of a single lap – it’s hard to compare to a road car that, while heavier, does not have near the downforce of an F1 car.  Another assumption of mine was that a brand new, unmodified tire was being compared; a trick often used in racing series that must use road tires is to shave off most of the tread, making the tread blocks considerably more rigid and less prone to squirm – this keeps heat down and improves performance.

If the road tire was shaved, I think it would still begin to overheat by the end of the lap, merely due to the intense energy being put through the tire from the downforce, the high g-forces and even the heat from the carbon brakes.  If it was not shaved, I would bet that by the end of the lap, most of the shoulders of the tires would have been chunked off, as the tire isn’t designed for 3+ lateral g-forces, considerable downforce and incredible braking from 300+ km/h.  The rubber used for a road tire is not designed for the tire temperatures than an F1 car would normally see; it would overheat at a lower temperature than a slick and drastically lose performance.

Secondly, how would the tire perform?  Clearly, a road tire has probably not been fitted to an F1 car for decades, and even then, it was likely only to move the car around.  One of very few possible comparisons would have to be the SCCA World Challenge; they have used street tires, semi-slicks (DOT-R, or “R-compound” tires), and currently full racing slicks.

2002 was the last year that they ran the standard “performance” road tires, Toyo’s T1-S model.  It was not a semi-slick or other racing-intended design; it was just a road tire.  After speaking to the drivers in the paddock, they mentioned that the tire would overheat in every session, causing the oils to come out of the tire, leaving a bluish colour on the surface of the tread and leaving the tire compound rock hard and virtually unusable.  Now I am not sure this would happen 10 years later with a P-Zero on an F1 car, but it might give a few clues.  David Farmer turned a fastest lap of 1:28.375 in the race at Mosport that year.

The next year, 2003, SCCA switched to the T1-R, which was a semi-slick, or “R-compound” tire.  This means it had a softer compound designed for higher operating temperatures, and it also had larger tread blocks for greater stability.  The tires worked much better, and allowed the cars to perform as they were engineered to, without frying the tires.  The fastest time at Mosport was by Bill Auberlen, at a 1:25.319.  That is a full three-second drop over an 88 second lap, which means if you were to fit a shaved street tire to Auberlen’s BMW, it would see a laptime increase of 3.6% (assuming the cars and driving are roughly equivalent from year to year).  David Farmer turned a 1:26.835, but finished much lower in the order, and therefore likely never got a clean lap during the race.

These tires were used from 2003 to 2010, after which Pirelli became the sponsor and wanted to use their slick tires.  From, it was noted that there was a 3-4 second improvement from the semi-slick to the full slick by Pirelli: …  This test was done at High Plains Raceway, in Colorado, which would provide a roughly 2-minute laptime for GT cars.  At Mosport, this should equate to a 2-3 second laptime difference, or a 3.2% increase if you were to switch from slicks to semi-slicks.

Combining the two jumps yields a difference of roughly 6.8%.  This is comparing spec slicks from 2011 to road tires from 2002, and I assume that tire technology has improved since then.  For argument’s sake, lets assume that a road tire from today would be a little better, so the jump may only be 6%.  Shaving a street tire usually results in a 1-second advantage over a 90 second lap, which would be a 1.1% difference.  If the tire was as-delivered from the factory, that would bring our estimate up to 7.1%

Applying that to an F1 laptime, say around Silverstone (it was a British fan that asked, so I think it’s appropriate), Alonso’s pole time of 1:51.746 would have jumped up to a 1:59.780, a difference of 8.034 seconds.

My off-the-top-of-my-head assumption on Twitter was 10-12 seconds, and this calculation shows 8 seconds, assuming the tire does not degrade heavily or chunk during that single lap.  If the tire did degrade and chunk, the last sector of the lap could definitely see a decrease in performance, where a few tenths per corner could be lost.  A little over three tenths in six corners could definitely bump that up to a 10 second difference.

There are a lot of assumptions flying around here, relating different cars during different years, at a race that was moved from May to August, and then using those differences to apply to an F1 car with probably ten times the downforce, 20% more power, and easily half the weight.

So, what is the difference?  Probably 8-10 seconds at Silverstone, but until someone bolts a set of road tires on an F1 car, we won’t know for sure.

Hamilton’s Data…

Well, that was an interesting thing for Hamilton to tweet…

Things that I found interesting:

(I’ll refer to everything by the distance around the lap, which is noted at the bottom.  For example, Eau Rough is at 1200m or so)

1) Hamilton gains mostly under braking, rather than in the corners (300m, 2200m, 3000m, 6700m).  I would have expected the cornering speeds to be noticeably different, but they are actually quite similar.  Hamilton can just go that little bit deeper, and brake that much harder before the wheels lock, due to the extra downforce he was running.  With each steep drop in the speed trace (second trace from the top), you can see that Hamilton is just a little later on the brakes.

2) Hamilton messed up the third corner in the “Les Combes” section (corner 9, 2600m).  He has more downforce, so should be as fast or faster, but he must have had a moment there, as his speed drops mid-corner.  Unfortunately, the data is obscured by what seems to be the steering trace.  The slight correction of the steering seems to indicate that he understeered, as he only let up on the steering rather than going into opposite lock (either that, or he has superhuman reactions that corrected a slide so quickly that he didn’t need to get to opposite lock to save it… but I doubt it!).  You can see that in that short downhill run to Bruxelles (2500-2900m), the speed traces are parallel, so he isn’t losing time because of the wing – it was just his poor exit from the corner that lost him at least a tenth or so, where he should have gained at least one or two tenths.

3) Hamilton destroys Button under braking for the final chicane… only to lose most of that advantage by killing his corner exit (6900m).  While he was able to brake much harder (note the higher brake pressure he can apply without locking up, thanks to the added downforce – bottom trace, brake pressure overlaid with throttle position – 6600m), he probably ran wide mid-chicane, ruining his line on the exit.  Because of that, Button go the better exit and clawed back much of what he lost in the braking zone.

4) Through the easy-flat corners (Eau Rouge – 1200m; Blanchimont – 6200m), they both lose the same amount of speed.  Had this been a few years ago where Eau Rouge was almost flat, the data would have been much more interesting.  While Hamilton would have had more drag, he may have had as much as a 10-15 km/h advantage exiting Radillion or Blanchimont.  At some point, Button’s speed would eclipse Hamilton’s, but Hamilton could retain an advantage.  It’s counter-intuitive, but sometimes adding downforce increases your top speed down a straight, simply because you exited the previous corner that much faster – what you lose from drag is more than outweighed by what you gain from increased exit speed.  That’s why Le Mans cars are closer to medium downforce spec now, especially with the chicanes on the Mulsanne – the corner exits are very important.

5) Neither driver can trail-brake as hard into Bruxelles (2900m), due to the downhill nature of the corner shifting the balance forward, making the rear of the car “light” and twitchy.  The braking trace shows that as they turn in, they are braking with about half as much brake pressure as the entry to Pouhon (3800m); this could be partly due to the lower speeds and therefore lower downforce, but by watching the cars through that corner, some of it has to be because they are all quite twitchy on corner entry.

6) It is worth noting that at near top speeds, there is little-to-no brake modulation, as the car has so much downforce, giving the tires so much grip that arguably the best brakes in the world still can’t lock the wheels.  Note the braking into La Source (200m) – they are mashing the brakes, and then gradually easing off the brake all the way to the apex of the corner, mostly because they are losing downforce (and therefore grip) as they slow down. To avoid locking up, they must ease off the brakes as the limit of the tires gets lower and lower with the decreasing speed.

7) Both drivers seem to be quite smooth – a testament to the McLaren.  If you look at the whole lap, looking specifically at the steering trace (third trace from the top), there are very few corrections that were made.  Each steering input, Hamilton’s correction in Les Combes aside, it’s all very deliberate and consistent – no massive opposite lock moments chasing the car through the corner.  Then looking at the throttle trace, I can’t see anywhere where they had to lift to correct for any wheelspin – clearly the McLarens are putting the power down quite well.  It would be really interesting to compare to De La Rosa’s throttle trace, where I bet his steering and throttle inputs are far more erratic, for the simple reason that the HRT has less downforce, is probably twitchy in each corner, and is not able to put the power down nearly as well – therefore poor Pedro has to wrestle the car at the limit, rather than Jenson being able to finesse the car through each of Spa’s lovely sweeping corners.

Hamilton posted the photo because he was blown away by the differences between a high downforce wing and a skinny wing, likely magnified by his disappointment of being so far off the pace.  That was obvious to me (and probably anyone that understands the trade-off between downforce and drag), but it was the few other details that I found much more interesting.

F1 passing strategy with Pirelli tires

It was clearly evident in the Spanish GP this weekend that following another car would destroy your pace after only a few laps.  Why?  The lack of downforce caused the tires to overheat.  If there was a distinct pace advantage for the trailing driver, he could tail the leading driver for more laps, as the cornering speeds would be a little lower or the drop off in pace would be less than difference in potential lap time between the leading and trailing drivers.

Losing that aerodynamic grip just makes the car slide a little bit more, and the tires end up overheating and the driver losing major lap time.  Alonso was trying hard for a few laps to get close to Maldonado, but then he would lose grip and fall back. He would then take a few laps, cool his tires off, and try again really hard, finally killing his tires and almost falling back into Kimi’s grasp.  A similar thing happened with Hamilton, as he couldn’t get past Rosberg and ultimately could not defend against Kobayashi or Vettel.  On the contrary, Kobayashi divebombed whoever he came across in a matter of a few corners (or no more than a lap), thus never quite letting his tires degrade like Alonso or Hamilton did.

This new phenomenon will definitely make passing quickly a top priority, rather than taking the classic, measured approach of taking a few laps to assess the situation, find a weakness and exploit it in the most advantageous section of the circuit.  Now it’s a case of attacking while the tires still have grip to ensure that the wings get clean air, thus producing more downforce and maintaining tire performance.  If the trailing driver takes too long to pass, the tires will fall off massively due to overheating, and the leading driver will start pulling away.

This can also potentially bring about an interesting situation that could provide a stunning finish.  Theoretically, a driver could be held at bay just long enough that the tires are starting to overheat.  At just the moment when his tires fall off, he manages to pull off the pass; however, now he doesn’t have the advantage he did two laps ago, so the driver he just passed is equally poised to re-pass not just in the next corner, but perhaps even later in the lap, setting up a duel where the two cars could pass each other multiple times in a few laps.  I can only hope that we would see another Villeneuve vs. Arnoux type of battle, even if chances are slim.

Centre flap on Lotus’ beam wing

I noticed something about Lotus’ beam wing on Racecar Engineering’s excellent testing summary:

Note the flow under the beam wing, and how it converges to the middle:


Basically, it seems as if the centre flap, despite only being 20 cm wide, affects the entire span of the beam wing, even if only by a small amount. The low pressure region behind/below the flap pulls in, and therefore accelerates, the air under the entire beam wing, thus increasing downforce by itself, and also allowing the beam wing to have more camber while keeping the flow attached underneath.

Of course, like many details on an F1 car, it’s not *the* optimum approach, but the best approach they can take given the restrictive rules in place. A typical twin-element wing would be more efficient, but that’s not allowed; instead, they have to take advantage of the curious 20 cm free zone in the middle of the wing, since outside that zone there are no slots or flaps allowed. Just like the double-diffuser, high-noses, barge-boards and pre-2009 curvy wings, the little flap isn’t the best idea where there are no limits in that region, but it’s a brilliant work-around to a typically restrictive F1 rule.