[uk.transport dropped]
On Thu, 07 Apr 2005 13:42:16 GMT,
Mark Thompson <
[email protected]> wrote:
>> Not in this manor squire. (Apologises to Monty Python.) Too hilly.
>
> Cycling is allegedly 5 times more efficient than walking, but what about
> going up hills? Do wheels that roll backwards make it less efficient?
> Back of envelope calculations suggest I should have paid more attention in
> physics lessons - I don't have a clue, but am guessing it still has the
> edge on walking up 'em.
>
Doesn't look like anyone answered this.
Yes it is more efficient[1]
The problem is power, not energy.
If, for example, the slowest you could safely cycle was 3mph, on a steep
hill you might have to average about 4mph so that the speedups/slowdowns
as you got more/less power into the pedals as they rotated didn't drop
you below your minimum speed.
But, even if you assume 100% efficiency for the bike, you are still
gaining gravitational potential energy as you climb, and the faster you
climb the faster you need to supply that energy.
Lets say you can sustain 200W power output and you plus bike weigh 80kg
Therefore you can climb (vertically) 200/80/10 = 0.25m/s (E=mgh)
On a 1 in 10 hill you will travel 2.5m when climbing 0.25m much - i.e.
doing about 5mph will require you to sustain 200W assuming there are no
other losses in the system.
A walker can (obviously) go much slower and so needs a much lower
sustained power output even if they actually end up using more energy in
the long run.
Tim.
[1] qualify this because I've never measured it and I don't know
how to measure efficiency of human driven vehicles and walking ;-)
> You aren't going to tell me walking isn't a viable way of getting up a hill
> are you? ;-)
--
God said, "div D = rho, div B = 0, curl E = - @B/@t, curl H = J + @D/@t,"
and there was light.
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