In article <qCIXh.8477$oo5.2446@trndny06>,
Tony S. said:"Robert Grumbine" <[email hidden]> wrote in message
news:[email hidden]...
Quoted message said:In article <[email hidden]>,
Elflord said:On 2007-04-24, Robert Grumbine <[email hidden]> wrote:
> The last two would lead towards your results. For the pace control,
> find someone who can predictably jog on the road the same pace
> that you do on the treadmill, and run with him. For the proper running
> on the treadmill, do not let the belt carry your foot back; be
> running such that your foot is never being pushed or pulled by
> the belt.
This is just the equivalent of "braking" when running on the road (the
road
abruptly "grabs" the runners foot and "carries" it back). But why would
anyone
brake any more on the treadmill ? And why would doing that make a
treadmill run
any faster ?
No, it isn't. But to see what I'm talking about, you need either the
experience or a lengthy physics-oriented description. Since you don't
have the former (and I do, plus the physics) ... here goes ...
From your followups, you're considering a person who is either running
perfectly, or is doing overstride braking. Neither is involved here.
'Perfectly' in this case means that the runner's leg is moving backwards
(relative to his center of mass) at exactly his running speed. If he
does this on a treadmill -- and continues the follow-through correctly
as well -- then the situation is identical to if he's doing the same
thing on the road. The road may as well be a treadmill, and vice versa,
and either could be made a rolling log floating in water, with no effect
on the energetics.
But that's not what is involved in the distinction I'm talking about,
or that others have described.
Consider first the runner landing his foot on ground (v. treadmill)
with the foot moving back (relative to center of mass) more slowly than
his center of mass is moving forward, and doesn't apply extra force
to accelerate its motion relative to his center of mass back to running
speed. He slows down. The earth isn't supplying any forces to accelerate
him horizontally.
Do this on a treadmill, however, and the belt certainly does supply
some force to accelerate your planted foot back to running speed
(relative,
again, to your center of mass). It won't succeed if your foot is heading
back much too slowly, but it can do so if it's not a great deal off.
That input saves you some work. Not the entire workload. But there's
a fair amount work in a steady jog that is just getting the leg to
swing back and forth at the right speed, and the 'mill can supply a
portion
of the energy for the backswing.
Hmm. I want to believe you but I was already convinced that the physics of
running on a treadmill was the same as running on the road, but for the wind
resistance. Wait a minute, once your body is in motion over the earth, it
stays in motion, according to Newton's first law, and is slowed only by 2
kinds of friction: air resistance and contacting the earth. Why isn't the
weight-bearing friction of the foot on the treadmill the same as the
weight-bearing friction of the foot on the road? The foot is also 'pulled
backwards' by the friction of contacting the earth while in motion running
on the road.
Let's look again at your phrase 'pulled backwards'. _Is_ the foot
'pulled backwards' in either situation?
Run along the earth. When you put your foot down, it stays exactly
where it was, in the earth-coordinate frame. Any 'pulled backwards'
is an illusion from thinking of your center of mass as a stationary
reference point (thence giving the notion of the foot being 'pulled back'😉.
The work done by the earth against your foot is F*d -- but d is exactly
zero, so the work is also exactly zero. This is true regardless of
the speed your foot is moving at touchdown relative to your center of
mass -- once down, it stays put.
Now run on a treadmill. (Better, watch someone else run on a
treadmill.) Your foot lands squarely under your hip (center of mass).
When you lift it off the treadmill surface, however, it is somewhere
behind your hip (same relative position as on land). So d is distinctly
_not_ zero.
_If_ you're running with the foot speed equal to the treadmill speed,
then the treadmill applies no force to your foot (no need to accelerate
it to running speed, F = ma, but a is zero). So, again, the work is
zero.
_But_ if your foot is moving too slowly, the treadmill accelerates
it to running speed. F is not zero, now. d is never zero on treadmill
running. So, in this case, the treadmill does F*d work on your leg.
This is work that you don't have to do yourself, so the treadmill is
saving you a bit.
If you're running properly, the treadmill belt never accelerates
your foot, so does no work and we're back to the ideal situation of
having minimal difference between treadmill and road. (Wind resistence,
surface flexibility, etc. still differ, but can be compensated for
and/or are small effects.) But if you're running improperly, it is
indeed the case that the treadmill does work for you that you otherwise
do on the road, making the road slower running.
--
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