From your post #55:
Originally Posted by
cyccommute
The pulse braker.
From you post just now, your answer has changed to:
Originally Posted by
cyccommute
Dragging the brakes could only end up with a rim as cool as pulse braking if you use the 0.5mph argument above.
You're starting to understand. Well done. FYI it's not "as cool as", it's "cooler". If you're not comfortable with emotionally accepting dragging being able to win the heat competition with 0.5 mph slower, feel free to change that to 0.1 mph, or 0.0001 mph slower. The point is, as the braking force reduces to approaching zero, the heat being put into the rims also approaches zero. At that point the rim temperature approaches zero degrees above ambient, even though the brakes are still being "constantly dragged". This is clearly visualized in the graph in the book. If you need a reminder go back and have a look at it again.
Your next rebuttal will likely be "you're using an infinitesimally small force now? Can't the pulse braker also use an infinitesimally small force to win the temperature competition?" Why of course. That's exactly my point. Whichever rider uses less braking force will be cooler. Less braking force, less heat. Either rider could win the temperature competition depending on how hard they use the brakes. That's what I've been trying to explain to you this entire time.
You keep mistakenly coming back to sentences such as "but why would a rider brake in x way, it's ridiculous." "Why would the pulse braker have to slow from x speed to y speed?" "This isn't realistic." Etc... All these questions are missing the entire point. Nobody is saying that these examples being used in a physics discussion are trying to imitate real life braking. The point of these examples is to demonstrate to you that your dogma of "dragging always hotter than pulsing NO MATTER WHAT" is wrong. Yes, drag braking CAN be cooler than pulse braking. It depends on HOW you use the brakes. We're are not locked in to a result of pulsing ALWAYS being cooler, as you believe.
If you go back to the prior discussion, we WERE using more realistic hypotheticals, but you didn't get it, so now we are forced to illustrate using extreme values to make things clear and help you understand. After you understand, then we can go back and start exploring real life discussions. If you don't understand the foundation there is no point.