On Thu, 08 Jun 2006 15:52:47 GMT, Bill S <[email hidden]>
Quoted message said:
One of the problems in determining tire rolling resistance
is eliminating uncontrolled variables and producing
repeatable results.
How about using an inclined plane? Picture a ramp with
adjustable angle. You set a weighted bike on the ramp
(starting at a very low ramp angle) and you give it a little
push. If the ramp angle is very low it will stop rolling.
You increase the ramp angle in small increments and repeat.
At some point the bike keeps rolling. At this point, the
rolling resistance coefficient (drag force/weight)is equal
to the tangent of the ramp angle. This technique has been
used in the past to determine coefficient of sliding friction.
One problem is keeping the bike upright while it's moving
without increasing friction. Using 3 wheels would solve it
but there may be an easier way.
Another consideration is that this is done at low speed.
Does anyone have data on variation of rolling resistance
with speed?
Dear Bill,
If I follow you, the idea is to put a weighted bicycle that somehow
stays upright on a tiltable surface, give it enough of a push to get
it going, and then adjust the downward tilt of the table until the
tire resistance stops the gently rolling bike:
"At this point, the rolling resistance coefficient (drag
force/weight)is equal to the tangent of the ramp angle."
I'm assuming that your trigonometry is correct, but this distance
amounts to less than a single spin on a spin-down drum test, so the
margin of error would be much larger, wouldn't it?
Here's a table of measured RR values for tires:
http://www.legslarry.beerdrinkers.co.uk/tech/JL.htm
Here are the tangents for some ramp angles in the 0.0040 to 0.0100
region that you'd be trying to measure:
(tilt) (rr)
degrees tangent
0.20 0.0035 good tire
0.25 0.0044
0.30 0.0052
0.35 0.0061
0.40 0.0069
0.45 0.0079
0.50 0.0087
0.55 0.0096
0.60 0.0105 bad tire
http://www.online-calculators.co.uk/functions/mathsfunctions.php
You'll have trouble getting a polished bicycle-sized tilt-table whose
slope is adjustable in 0.05 degree increments. A spin-down drum is
simpler, cheaper, and more likely to provide reliable results.
Cheers,
Carl Fogel