In article <[email hidden]>,
Charlie Pendejo <[email hidden]> wrote:
Charlie, please experiment some. It is supposed to be possible for google
to preserve attributions.
Quoted message said:Quoted message said:In other words, you don't get back on the downhill what you lose on
the uphill.
Logically, yeah; but wording affects emphasis e.g. "whatever you gain
on the downhill, you'll lose more on the uphill."
Whichever emphasis works for you.
[quote="Quoted message"]
Quoted message said:With it being difficult to run fast enough on the downs to
maintain even an even effort, much less to pick up the pace
relatve to that, the place to make your gains relative to
even effort is on the ups. Energetically speaking.
Whoa there! Don't think I quite follow or agree - if your thinking
runs beyond "ya just can't do it on the downs, so that leaves the ups"
(and I bet your thinking does), I wish you'd elaborate.
To the extent these
down: 1 - x/2
flat: 1
up: 1 + x
roughly model the cost of running at some range of paces, they must
also represent the cost of an additional unit of speed, no? Assuming
we're not already out on the asymptote at 99% effort.
Then my interpretation, energetically speaking, is that:
[a] An increment of speed is cheapest for the downs, and most
exorbitant on the ups; so for the gods' sake, don't skimp on the downs
and save yourself for the ups.
Or: run everything, including the downs, as close to even effort as
possible - which will probably be as fast as you're able and willing on
the downs.
Or: you may as well run the downs as fast as you're able and willing:
since the effort will be less than for flats/ups, you are in effect
still recovering, relatively.
[b] The ups being so expensive, if you're tempted to spend an extra
Effort Unit to pass the guy in front, you'd get more mileage
(literally) out of that same energy on the flats (or especially the
downs, if you foolishly weren't already maxed out there).
I've long - well, relative to either my brief running career or to the
duration I generally stick with an opinion or theory on running - held
this and raced accoringly, and believed that as you say:
Quoted message said:People who pull away on the ups are putting too much effort,
usually, into the uphill and they come back on the down.
I unintentionally reinforced this conviction by taking the ups a harder
in my last race - first-ever hill hard reps in preceding weeks had me
unusually confident and excited to unleash my new ascending prowess -
and really paid for it with a 4th mile (of 5) around 35 seconds slower
than the others.
Energetically speaking, that really sucked!
But I also agree, in racing all that psychological mumbo-jumbo :-)
comes into play as well. And probably moreso if you're racing specific
competitors or sticking with a pack, whom you don't want to lose on the
ups.[/quote]
As I mentioned, I did the calculation after the last go-round. I
was arguing that what I do, in hitting the downhills 'hard' was the
right thing to do energetically as well, with the same intuitive thoughts
as you give above. Intuition doesn't always work out. Since you're
not averse to a little algebra:
Let u = speed, E = energy (actually power) supplied, C = energy cost,
L = length of hill, T = time required.
Our goal is to put the biggest time lead over the person we're racing.
We can apply a little extra energy on a hill (some zone where C is
not the same as the reference area -- the math works out the same
regardless of whether it's a hill or a tall grass stretch or whatever).
So, where to we expend it?
T = L/U and u = E/C, so T = LC/E
We'll run that zone twice, once at our reference level E1, and once
at a different level E2, so the time gained/lost is
T2 - T1 = LC*(1/E2 - 1/E1)
Since we're racing, we want the above to be negative; we take less time
using our spiffy strategy than if running even effort. If E2 is greater
than E1, the RHS is negative and we do indeed gain time by expending more
energy. Since E2 and E1 are fixed (we only have so much extra energy
to supply), and L certainly is, the time differential sits with C, the
energy cost.
You will get the greatest time differential by expending your extra
energy wherever the cost is greatest. So it's the uphills, and on a
variable course, it is greatest on the steepest uphills. The thing is,
adding 1 mph makes much more difference to your time when you're going
1 mph than when you're going 10 mph.
Mindless application of the above will get you in to very bad straits
very fast, I'll warn. The thing is, while typically called 'energy',
what's actually involve is power -- rate of energy output (VO2 is a
power measurement, for instance). Your _energy_ bank will support
a certain continuous power output (aerobic generation) and a finite
amount above that (anaerobic generation). Once you've run through
your anaerobic stock, you're done and done for.
My take is that it is the 'psychological mumbo jumbo', keeping my
focus on a quick downhill and supressing the urge to chase people on
the uphill, that has me do what is energetically more correct -- bit
(but only a bit) of an increase in effort on the uphill and holding
even on the downhill. Different people will need different mantras
to obtain the right result; giving mine to some people will have them
not finish the race as they flame out on the downhills. And there are
some personal variations on the ability to run efficiently downhill
versus uphill that will argue for more of an emphasis on one than the
other.
Psychology and second order effects. Suppose there's a hill
that would take you 100 seconds to run on the flat, but it's 5% grade
(steep for track/road racer standards). Just by that, the time
would be 105 seconds at even effort. Lot of folks will be far from
the 105 as they try to kill it, or get psyched out by the hill. 5
seconds is not that much time, yet many people respond as if they're
dying or that their entire manhood depends on 'conquering' the hill.
Similarly, on the downhill, many are so trashed physically or mentally
by the up, they don't accept the speed tht nature is trying to give.
--
Robert Grumbine
http://www.radix.net/~bobg/ Science faqs and amateur activities notes and links.
Sagredo (Galileo Galilei) "You present these recondite matters with too much
evidence and ease; this great facility makes them less appreciated than they
would be had they been presented in a more abstruse manner." Two New Sciences