On 31 Mar 2009, Ben C <> wrote:
> On 2009-03-31, Neredbojias <> wrote:
>> On 31 Mar 2009, Ben C <> wrote:
>>
>>> On 2009-03-30, asdf <> wrote:
>>
>>>> A bicycle with square wheels is uncommon, but I bet I could catch
>>>> it on my round-wheeled version.
>>>
>>> Depends on the shape of the road.
>>>
>>> http://pages.usiouxfalls.edu/maa/new...r.squarewheels
>>> .S W.editedcropped.S04.jpg
>>
>> Yeahbut a similar wheel with concave sides would provide a much
>> smoother ride.
>
> That bicycle in the picture was said to have a perfectly smooth ride
> on its track. You could even ride it no-hands.
>
> With concave sides it would have wobbled up and down in some fashion
> calculating the exact math of which I leave as an exercise to the
> reader.
Perfectly smooth? Uh, no. Relatively smooth, perhaps; the distance
from the axle to the center of the earth might even have been the same
when the wheel was exactly in a trough (-with a corner) or exactly on a
crest (-at the middle of a side) but in order to be "perfectly smooth"
the aforementioned distance would have to be either constant or
maintain a constant delta and this could only happen if the wheel
possessed a shape which was quite reciprocal to that of the road,
making it rather like a blurry gear with concave sides and effecting a
constant level (or variance) from the gravitational center.
--
Neredbojias
People who live in glass houses must feel funny peeing.
http://www.neredbojias.org/
http://www.neredbojias.net/