Bike porn

ok, i'm not totally thick, and i can see much of what you said is word vomit.

P = W/T = F*V

so when measured at the crank, what velocity is being used to calculate power?

I ask because it will take much less force to move a bike at X miles an hour in the big cog than in the small cog. you just have to pedal faster.... in which case you use cadence as the velocity... which is rotational among other confusions... which seems very strange...

i'm not trying to be inflammatory, just wondering if the two points of measurement are truly interchangeable.

although now that i'm thinking about it, they have to be interchangeable. otherwise there's a hidden source/lose of power.

so final question... they must use cadence as the velocity?

Yes, cadence is the velocity, and not really confusing. Think of how they measure horsepower in cars

(lb/ft*RPM)/5252

Legs are pistons, pedals are conrods and a crankset like a crankshaft.