Originally Posted by
reppans
I completely agree WRT an overall loop ride on asphalt. No one is arguing that there is a more efficient mode of human-powered transport than a bicycle. However, the general point was made (and I am paraphrasing) that on a steep grade, at some point, a bicycle's mechanical advantage will be more than offset by it's own weight disadvantage. For some reason, this valid comment ensued into a one-sided dog pile as if the bicycle were always able to retain a net mechanical advantage up any hill.
So, while I might a agree with Doug's specific example - hike 35lbs vs bike ~65 up a 6% grade - and prefer the bicycle as well, I think the efficiency (i.e., effort/energy) analysis vs walking is going to be a whole lot closer than a layman's extrapolation of his uphill 2x pace.
For my personal case - hike 20 lbs vs bike 50, I have absolutely thought about how much easier it would be to hike up some grades. I can now guesstimate my cross-over point to prefer hiking 20 lbs might be a 7-8% grade. This is based the empirical finish times of the 5th place females - who are certainly fitter than I, and I'd bet most of us here - with their run 0 lbs vs bike ~20 lbs time equilibriums on an ~10% extrapolated grade (i.e., runner beats cyclist by ~10% on an 11% grade, so should be ~even on a 10% grade).
I agree with you. I pulled the 2x pace out of the air without anything to base it on except the assumption that if I was walking at 2 mph and riding at 4 mph I could do it twices as fast. I did get a perverse pleasure when I was younger (much younger) of passing cyclists while running up my favorite training hill
In the book Bicycle Science, David Wilson states that "15% gradient may be a critical one, and that at grades greater than 20% there is no really appreciable advantage in riding the bicycle, even in low gear." In this section he was comparing riding vs. pushing the bike up the grade.
In the same book there is a graph that shows the energy expenditure of a cyclist compared other modes of travel:
A cyclist expends 15 kcal/km at 10 mph and 8.4 kcal/ km at 4 mph; a walker expends 55.3 kcal/km at 4 mph, and a runner expends 68.3 kal/km at 10 mph.
While this looks god for the cyclist, I'm not sure if this relationship holds true on hills.