As "pigheaded Dutch selfdeared Tirepressure specialist, I think I can add to the discusion here.
In opening post you come to 59%, but calculate pressure using 49%, a miswriting I think.
But the lineair calculation you use is not that bad, gives slightly higher pressures then the official european calculation from ETRTO, wich I got hold of end 2007, and went running with.
Now use my own determined formula ( better ofcource) closer to linear calculation.
Have an old list of Michelin with pressure/loadcapacity lists for different speeds on normal roads and for on track and in mud/sand.
Rule is about, so I figured out:
Mud/sand 50% of pressure for 20kmph( 12.5mph) on road, wich then is max speed to use.
On track,( must be that on gravel), 80% of pressure for 65kmph(35mph) on road.
TMPS sensors are not that good in giving temperature, especialy external sensors, because give pretty acurate the temperature on end of valve, and not of gascompound in the tire.
Beter then is to calculate it back from the pressure change.
For that I made a simple to use list.
Look in that the cold filled pressure at 70degrF( but also can make a list for Celcius and bar or psi), and look behind that for degrF/psi.
Then you can calculate by head acurate enaugh the temp in tire. Or reverse.
If you use it for cold filled at 65 degrF, it wont give dramatic differences.
70degrF./degrF/psi
20 psi/ 15,5F/psi
21 psi/ 15F/psi
22 psi/ 14,5F/psi
23 psi/ 14 F/psi
24 psi/ 13,5F/psi
25 psi/ 13,5F/psi
26 psi/ 13 F/psi
27 psi/ 12,5 F/psi
28 psi/ 12,5 F/psi
29 psi/ 12 F/psi
30 psi/ 12 F/psi
31 psi/ 11,5 F/psi
32 psi/ 11,5 F/psi
33 psi/ 11 F/psi
34 psi/ 11 F/psi
35 psi/ 10,5 F/psi
36 psi/ 10,5 F/psi
37 psi/ 10 F/psi
39 psi/ 10 F/ps
40 psi/ 9,5 F/psi
42 psi/ 9,5 F/psi
43 psi/ 9 F/psi
45 psi/ 9 F/psi
46 psi/ 8,5 F/psi
49 psi/ 8,5 F/psi
50 psi/ 8 F/psi
53 psi/ 8 F/psi
54 psi/ 7,5 F/psi
58 psi/ 7,5 F/psi
59 psi/ 7 F/psi
63 psi/ 7 F/psi
64 psi/ 6,5 F/psi
70 psi/ 6,5 F/psi
71 psi/ 6 F/psi
77 psi/ 6 F/psi
78 psi/ 5,5 F/psi
86 psi/ 5,5 F/psi
87 psi/ 5 F/psi
96 psi/ 5 F/psi
97 psi/ 4,5 F/psi
109 psi/ 4,5 F/psi
110 psi/ 4 F/psi
126 psi/ 4 F/psi
127 psi/ 3,5 F/psi
148 psi/ 3,5 F/psi
149 psi/ 3 F/psi
177 psi/ 3 F/psi



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