Quoted message said:Ben C said:On 2007-07-09, [email hidden] <[email hidden]> wrote:
[...]
Quoted message said:Quoted message said:Quoted message said:Actually, discussion on whether helmets reduce "force" or "impact" ARE
technical. Those terms have precise meanings, and they can be used
correctly or wrongly.
What's the technical meaning of "impact"?
Dear Ben,
Technically, impact is the impulse of force. Even your fussiest carbon-
based life-forms tend to use the shorter phrase, even when being as
technical as possible:
"The product of average force and the time it is exerted is called the
impulse of force. . . . The main utility of the concept is in the
study of the average impact force during collisions. For collisions,
the mass and change in velocity are often readily measured, but the
force during the collision is not. If the time of collision can be
measured, then the average force of impact can be calculated."
http://hyperphysics.phy-astr.gsu.edu/hbase/impulse.html#c3
It seems they're basically using "impact" to mean "force" in that
document.
Protecting a table with a foam pad while striking it with a hammer might
be expected to reduce maximum force by spreading the impact experienced
by the table over a slightly longer period of time.
In the basic calculations the impulse is the same in both cases since we
assume the same amount of momentum is transferred from the hammer to the
table.
The foam pad further might reduce the maximum pressure on the table by
spreading the impact (force) out over a larger area.
If you can keep the pressure low enough you can prevent things breaking.
That's presumably roughly how the cardboard boxes eggs are supplied in
are supposed to work.
If you fall off your bike sideways knocking your head on the sharp edge
of the kerb it's possible the helmet could help prevent a skull fracture
in a similar way.
But head injuries are more complex than egg injuries where all we care
about is that the eggs shouldn't break.
Quoted message said:Browse down that page for an example of a duck (not wearing a helmet)
hitting a jet head on.
The detailed calculator requires the grisly detail of the length of
the duck because the part that goes over the fence last strikes the
600 mph jet slightly later than the beak.
There's even another calculator for glancing rather than head-on
impacts.
(But there's nothing about rotational effect, since the duck is
expected to go splat! in a fashion quite different from a typical bike
crash.)
The assumption is that, since the jet is so massive and the duck's
speed so trivial, we can make a reasonable estimate of impact using
only the jet speed and the duck's mass and length.
Alas, for helmets containing heads, such assumptions don't work well.
While the pavement doesn't dent noticeably and can be ignored, we
can't use the length of the head and helmet, since few bicycle crashes
spread the rider's brains as thinly as impromptu duck paté à la
jetliner.
Yes. It's quite easy to estimate the impulse applied to the head, much
harder to estimate the duration of the impact and how the force varies.
But reasonable to say that the impact might be spread out over space and
time a bit by a layer of styrofoam. How much and how much that helps you
is another matter.
People also sometimes talk about energy absorbed in such collisions,
which is a slightly different metric.
Quoted message said:There's also that pesky rotational business, which more and more
medical studies suggest causes many bicycling brain injuries.
Yes exactly. Medical studies or not, boxers know that the way to concuss
your opponent is with a blow to the chin causing maximum pesky rotation
of the head.
But I think it's difficult to estimate how much more or less torque you
can expect to receive with or without a helmet. It increases the radius
of your effective head obviously, but it's not that simple.