On Aug 3, 5:47 pm, Joe Riel <
j...@san.rr.com> wrote:
> Gary Kunstmann <
gkuns...@veawb.coop> writes:
> > DirtRoadie wrote:
>
> >> It's actually very easy to estimate the zigzag path from an estimate
> >> of the lateral deviation and minimal other assumptions.
>
> >> Looking a video head- on it looks like a rider may commonly "sweep
> >> out" a path .3m in width (~1 ft).
> >> This full lateral excursion takes place within a pedal cycle (two
> >> pedals strokes, R-L).
>
> >> A single pedal stroke accounts for the entire lateral movement in one
> >> direction. That same single pedal stroke accounts for 1/2 of the
> >> distance the bike travels in a pedal cycle - also known as "gear
> >> development."
>
> >> A 53x12 sprinter's gear is "119.25 inches" which gives a development
> >> of .08 x 119.25 = 9.54 meters, half of which is 4.77.
> >> (shortcut here:
http://en.wikipedia.org/wiki/Gear_inches#Calculating_metres_of_develo...
Thanks for fleshing that out. I thought you might.
There is a slight disparity which does not show up in the numbers.
I originally used the "development" as the straight line path (as you
did) until realizing that if we are assuming that the bike's wheels
are zigzagging then the rear wheel is traveling the longer ZZ path. No
matter. Whether solving for the hypotenuse or for the straight leg of
my right triangle the end result (ratio) is the same for the degree of
precision displayed here.
And if one really wants to split hairs, the rear wheel probably does
not deviate laterally as much as the front as we all should know from
tracks we leave after riding through a puddle.
So rather than worrying about the "ZZ factor" I suspect that it would
be more important to develop the general ability to avoid swerving or
veering - to get to the line quicker, to avoid collisions and to
avoid penalties or disqualifications.
DR