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Old 10-06-2023, 10:53 AM   #31 (permalink)
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So, my calculus is rather simple, if wider tires stop me say 8'? quicker, that is a potential huge amount damage/injury/time/aggravation/liability/etc savings in an accident that no mileage gains can ever offset.
I think I just got convinced I need a Mustang.



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Old 10-06-2023, 02:54 PM   #32 (permalink)
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I calculated my rolling resistance curve in the graph so start rolling is 0.0065 like it is with A label tires in eu.

From history better rolling resistance tire is same amount better in rougher road than it is on the rolls.

It would make sense that is true also for pressure increase? At least to a point.
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Old 10-06-2023, 07:41 PM   #33 (permalink)
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So, if I'm reading this chart correctly, rolling coefficient at 44psi increases nearly 4 times as speed changes from 62 to 87mph?
That surprises me.
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Old 10-06-2023, 09:01 PM   #34 (permalink)
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Originally Posted by j-c-c View Post
So, if I'm reading this chart correctly, rolling coefficient at 44psi increases nearly 4 times as speed changes from 62 to 87mph?
That surprises me.
It doesn't sound like what I've always understood.

Why would the coefficient change as you drive? From what I've always understood it stays about the same.

UNLESS we are talking about power to overcome rolling resistance. That does increase with the square of the velocity.

But the force to overcome rolling resistance should be about the same. The amount of energy per measure of distance will be about the same.

The power increases because the faster you go the more energy per measure of distance gets eaten up quicker as you travel more distance per measure of time.
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Old 10-06-2023, 09:51 PM   #35 (permalink)
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The chart still surprises me, so what is the truth here?
Can anybody at least verify I'm reading this chart correctly?
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Old 10-07-2023, 12:45 AM   #36 (permalink)
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One mechanism is energy loss from mechanical flex. At higher speeds, the tires suffer increased flexing that steals energy and increases the energy loss.
Heinz Heisler MSc., BSc., F.I.M.I., M.S.O.E., M.I.R.T.E., M.C.I.T., M.I.L.T., in Advanced Vehicle Technology (Second Edition), 2002
8.1.5 Rolling resistance (Figs 8.10 and 8.11)

When a loaded wheel and tyre is compelled to roll in a given direction, the tyre carcass at the ground interface will be deflected due to a combination of the vertical load and the forward rolling effect on the tyre carcass (Fig. 8.10). The vertical load tends to flatten the tyre's circular profile at ground level, whereas the forward rolling movement of the wheel will compress and spread the leading contact edge and wall in the region of the tread. At the same time, the trailing edge will tend to reduce its contact pressure and expand as it is progressively freed from the ground reaction.

The consequences of the continuous distortion and recovery of the tyre carcass at ground level means that energy is being used in rolling the tyre over the ground and it is not all returned as strain energy as the tyre takes up its original shape. (Note that this has nothing to do with a tractive force being applied to the wheel to propel it forward.) Unfortunately when the carcass is stressed, the strain produced is a function of the stress. On releasing the stress, because the tyre material is not perfectly elastic, the strain lags behind so that the strain for a given value of stress is greater when the stress is decreasing than when it is increasing. Therefore, on removing the stress completely, a residual strain remains. This is known as hysteresis and it is the primary cause of the rolling resistance of the tyre.

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Fig. 8.10. Illustration of side wall distortion at ground level

The secondary causes of rolling resistance are air circulation inside the tyre, fan effect of the rotating tyre by the air on the outside and the friction between the tyre and road caused by tread slippage. A typical analysis of tyre rolling resistance losses at high speed can be taken as 90–95% due to internal hysteresis, 2–10% due to friction between the tread and ground, and 1.5–3.5% due to air resistance.

Rolling resistance is influenced by a number of factors as follows:
a) cross-ply tyres have higher rolling resistance than radial ply (Fig. 8.11),

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Fig. 8.11. Effect of tyre construction on rolling resistance

b) the number of carcass plies and tread thickness increase the rolling resistance due to increased hysteresis,
c) natural rubber tyres tend to have lower rolling resistance than those made from synthetic rubber,
d) hard smooth dry surfaces have lower rolling resistances than rough or worn out surfaces,
e) the inflation pressure decreases the rolling resistance on hard surfaces,
f) higher driving speed increases the rolling resistance due to the increase in work being done in deforming the tyre over a given time (Fig. 8.11),
g) increasing the wheel and tyre diameter reduces the rolling resistance only slightly on hard surfaces but it has a pronounced effect on soft ground,
h) increasing the tractive effort also raises the rolling resistance due to the increased deformation of the tyre carcass and the extra work needed to be done.
Not identified in this source, another paper pointed out that tires can have a circumferential vibration mode, a circular resonance. When tires "sing", they are also losing energy by flexing the tire tread.

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Old 10-07-2023, 01:19 AM   #37 (permalink)
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Makes sense.


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Old 10-07-2023, 02:39 AM   #38 (permalink)
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So this all centers over time or the distance traveled? I don't see here where rolling friction, which the quoted above basically states the obvious, is not linear based on speed. If chart is accurate, it must not be. Wasn't that the whole point in question here?

The mention/concern with internal "circulation" losses for a steady state rolling tire is pretty insignificant IMO unless the tire is grossly underinflated and hardly even worth mentioning.

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Old 10-07-2023, 02:57 AM   #39 (permalink)
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Quote:
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The chart still surprises me, so what is the truth here?
Can anybody at least verify I'm reading this chart correctly?
100km/h at 3 bar =~0.012
140km/h at 3 bar =~0.0145
Thats about 17% difference
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Old 10-07-2023, 12:39 PM   #40 (permalink)
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Quote:
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100km/h at 3 bar =~0.012
140km/h at 3 bar =~0.0145
Thats about 17% difference
I stand corrected, my earlier reference to the coefficients was wrong, I was misreading significant figures I suppose.

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