Pete Biggs said:bobv said:You are confusing the diameter of the tire with the circumference.
The effective circumference is calculated from the radius from axle to ground of the loaded wheel
and tyre.
I don't think so, as the same area of the tire touches the ground for the full rotation in both
cases. More thoughts below however.
Quoted message said:
Quoted message said:PI doesn't apply to elliptical objects.
The loaded tyre isn't an ellipse. It's a circle with a flat spot.
Good point, but PI still doesn't apply to a circle with a flat spot🙂
Quoted message said:You don't need to measure the circumference of the full stationary circle. The relevant circle is
formed from the point nearest to the axle that contacts the ground. So with a totally flat tyre,
that's virtually the rim; top of tyre for a solid one, and somewhere in between for a normal loaded
inflated pnuematic tyre.
A totally flat tire is a whole different thing. The tire is not even relevant in this case only the
rim of the wheel.
So let us say that we have tire that is inflated only to the point where it is just above the rim
when it contacts the ground. Then what you say makes sense, but we still have the same outer edge of
the tire (which is a constant length for our argument) contacting the ground for a full revolution.
Unless we have major slippage here I guess I have a problem with this.
Quoted message said:
The rest of the tyre is irrelevant because it will bulge out of the way sideways as it contacts the
ground as the wheel turns.
Quoted message said:A partially flat tire still has the same circumference as a fully inflated one.
The effective circumference is the only thing that is relevant. As far as the calculation is
concerned, the wheel is still a perfect circle, just a smaller one.
I don't think this is true unless there is slippage of the tread on the ground which has to be
negligible.
Quoted message said:
Quoted message said:(disclaimer below), where a totally flat tire is riding on the rim
Exactly.
Quoted message said:which is whole different ball game not to mention diameter AND circumference.
Why is it a different ball game? Assuming tyre stays on rim, you are still using the whole of the
tyre's circumference. What about when it's almost flat but not quite so rider is suspended just a
couple of milimeters above the rim? Where is the threshold?
The threshold is where the tire sinks below the rim, and the rim becomes the new circumference.
Quoted message said:
Quoted message said:Now inflation pressures could possibly change the circumference of the tire due to stretching of
the tread, but adding weight to the bike would have minimal effect on the circumference in mho.
Think of the tread (outer circumference) of the tire being a tape of a constant length and even
if you now change the shape of it, it still contacts the ground for the same distance for each
revolution.
You don't ride on the whole length of the "tape" at once so that distance is not being travelled
once per revolution. You ride on the constant point where the outside edge of the tyre ends up when
its at the bottom of the wheel. The radius of the rest of the tyre is irrelevant because it will
squash in when at bottom. It's excess and doesn't exist as far as the distance travelled is
concerned.
As I mentioned above, unless we have slippage of the "tape" then I still have a problem with this.
Think of a hoop ( not a perfect analogy, but not all that bad), while pressing on top of the hoop
you rotate it on the ground. It will still take exactly the same linear distance to rotate once.
Quoted message said:
You ride on a circle that is smaller than the unloaded inflated tyre. Forget the bigger circle
exists. Thats out in mid air doing nothing!
I now have two distinct pictures of this. One is yours with the smaller circle, and I still have the
one of the tread circumference being a constant and touching the ground for the full rotation with
no slippage. How do we explain the second picture.
Bob