>Quoting Nick Maclaren <
nm...@cam.ac.uk>:
>>It can. However, to exceed the 100 nm at the hub, I would have to
>>push 65 Kg on the pedal - which, even at a cadence of 40 RPM, would
>>be 260 watts.
>
>Surely to temporarily push 65kg on the pedal you just have to stand on it?
>I don't know your exact mass, of course. I suppose you can simply refrain
>from doing so in low range.
Thinking about wattage is not really useful when trying to estimate
the peak force a rider can impose on the system. The maximum
available power output depends far too much on the time period over
which it is measured.
The answer will be quite different when the limiting factors are (from
longest to shortest duration) (i) glycogen reserves (ie, the bonk)
(ii) oxygen transport (iii) anaerobic energy stores (iv) mechanical
travel of the joints during a single power stroke (v) available peak
force from the muscles in use.
The answers in cases (iv) and (v) depend massively on the speed as
well. When asking about `maximum power' one is implicitly specifying
that the action takes place at the speed where maximum power is
available. But of course if what one really wants is an estimate of
maximum force, that is not right. Maximum peak force is available at
roughly zero speed (ie negligible output power).
Here we are indeed interested in peak force, even if it is only
exerted for a few tens of milliseconds. I'm not sure how to estimate
peak force, but let me have a go:
An obvious lower bound for someone who can climb stairs is the ability
to accelerate their own body weight upwards with the muscles of both
legs, giving a minimum force per leg of half their body weight. In
practice I think this is a very loose bound; for example, the
mechanics of stair climbing strongly favour doing most of the work
with one leg.
I guess one could look at weightlifting. Wikipedia tells me that a
"squat" is a weightlifting exercise involving starting with legs bent
and straightening the legs, while a weight is held at the shoulders.
The world record is 575kg. IDK how much the lifter (Jonas Rantanen)
weighed but let's say they lifted 75kg of their own mass too giving
650kg. But that's for both legs, so that gives us 325kg per leg.
Incidentally, the lift part of a squat is presumably completed in much
less than a second. 6500N / 1s = 6500W, but probably peak power is
much more because up to a point it'll be easier to do it faster rather
than slower. That just goes to show how useless power figures are
over very short durations.
Of course that 325kg per leg is a world record. Random internet
search suggest that the average man can do a squat of about 65kg but
presumably they are lifting most of their weight too, so let us say
140kg. So maybe 70kg per leg ?
Overall that seems to suggest that 65kg from one leg would be within
many people's capacity, but perhaps not most. As for Nick personally,
I don't think it can be answered on paper. This analysis has
certainly failed to rule out that he could exceed the hub's spec. I
would advise Nick to be gentle with it :-).
--
Ian Jackson <
ijac...@chiark.greenend.org.uk> These opinions are my own.
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