Hey Kurt, to go back to your original question first, I am not aware of any rules that would deny you the ability to run a tire temp system. As long as the system is properly installed and secured to the bike, it should pass a tech inspection. I would have a concern with it though. I would not want it to be a distraction to you while on track. If you are looking to use it as a way to check your tire temps after a few laps, that would take your focus and attention off of the track. Again, don’t get me wrong, it’s good to feel confident that our tires are in their optimal operating temperature. I would just not want to be trying to check this while out on track. If the system had a very easy to read display where a quick glance would provide the info you need that would be better. Just remember, this is just a part of the equation and I would not want knowing your tires are up to temperature to give you a false sense of security and create overconfidence.
As for your other questions...
Question 1: We have to work the carcass of the tire hard to build heat. That means building brake pressure and acceleration while the bike is straight up and down. Let me clarify. Hard acceleration while bike is upright, hard braking while bike is upright. We are still trail-braking into the corner, and gradually adding throttle on exit, just not as aggressively and with less lean angle until we give the tires a chance to heat up. So the answer is “it depends.” If you are able to build this stress into the carcass properly, you can get more heat into the tire quicker. So a Q3 can heat up pretty quickly. A DOT race tire will take longer if you are not coming off warmers. So we can’t really say one lap, two laps...etc. It all depends.
Question 2: I just got back from Barber. A bit cold in the morning and the afternoon, and a bit of moisture on the track so conditions were not optimal. Which means the conditions were changing throughout the day. I conditions like this, you may be able to get your tires up to a decent temp in the morning but the track is still cold and could have moisture on it. So in these type of conditions, you may never get the tires up to their optimal operating temperature. What do we do then? Comes back to the idea of sneaking up on those limits. Again, tire temp is only a piece of the equation. Example: Let’s say optimal tire temp is 180 degrees. But let’s say I can never get the tires up to that temp. What do I do if the temp is only 160? What about only 120? Does this tell me how hard to push those limits? No. Again, it’s just a number. It doesn’t tell the whole story.
Bottom line, work the tires hard while the bike is straight up and down to build as much heat as you can before being more aggressive on entry and exits. Gradually add speed and lean angle so you are never jumping past that level of available grip. Linear, smooth inputs so that we can better feel as we approach those limits.