For a given bike speed, the rate of wheel rotation changes linearly with radius but the inertia changes with the square of radius. And for a given price/stiffness/strength the larger wheel gets heavier too.
Yep, but wheel rotation is linearly proportional with size too. So a 29er rim is rotating 10% slower, weighs 10% more.
'rim counts double' as the rotational velocity of the rim is equal to the overall foreward velocity.
v is constant between the two bikes riding side by side
e is therefore proportional only to m. An 1800g 29er wheels accelerates just easily as an 1800g 26" wheel. The difference is the 26" wheel is probably only 1600g.
Differentiate it you get q=2ma, which shows the same thing, acceleration of the rim is proportional to power/weight, radius is irelavent.