I have a theoretical question for the mathematicians in BF land…

Is there an equation out there that normalizes weight, gearing and hill grade between two different riders?

For example: Say rider A weighs 135 lbs and is on a 20 lb bike climbing a 10% grade with gearing that gives him 42.7 gear inches is putting out X amount of effort (watts, HP, whatever). How much effort would rider B, who weighs 200 lbs, on the same bike with the same gearing have to put out? (or, how many gear inches would rider B need in order to equal the same amount of effort that rider A is exerting)

This is more of a personal curiosity than anything, because as we all know the 200 lb guy is too fat for this sport (had to get it out there ). My [non-mathematical] mind says there should be a way to do this, but I cannot think of how.

Thanks.

You could use this for most of what you are asking.

https://noping.net/english/

The gear-inches thing depends on cadence, which varies due to many things such as personal preference.

I guess the answer to my question is: Yes, there is!

That's a pretty slick website - thanks!