The following calculation, was posted on topica in 2004 and you did not challenge it at the time, I have modified it slightly so readers of this forum can follow more easily:
(the contributor) just got privileged information from a spectator on the
AdH TT who reads this forum (topica/wattage) but does not write.
Point 1 ( split time in l’Equipe newspaper) was really at km 1.7 ( as I thought), hence at
~725 m.a.s.l.
Point 2 was 50m after hairpin No 7, hence at ~ 1395m asl, km
9.15.
.....
Distance = 7 450m
Elevation 670m
time 21:03 = 1263 sec
slope =0.0899
v = 7450/1263 = 5.899m/s
Air density 28°C 1100m altitude -> 1.03
CdA 0.4 m^2
Crr = 0.0036
-----
70 kg cyclist + 8 kg equipment ( bike, shoes,... 1/2
bottle)
RESULT = 464 watts
+ 2.5% transmission losses -> 476 watts over 21 min
476/70 kg = 6.79 Watts/kg
There was no wind on that section of AdH that day.
(Higher up the last racers had to contend with a very noticeable wind)
Using only that lower part between 725 and 1395 m one does not need to take the physiological effects of altitude into consideration : effect on performance being almost imperceptible below 1500m (although Andy can find – no doubt – counterexamples).
Speed variations negligible.
Crr has been measured by extrapolation to V=0m/s on a similar French mountain road. Not very different from the 0.004 default figure in analyticcycling.com calculations.
With those parameters :
Gravity accounts for 405 watts, uncertainty under 1% (altitude gain) = 5.79 W/kg
Air resistance accounts for 42 watts = 0.6 W/kg
Rolling resistance for 16.5 watts = 0.23 W/kg
I consider changes in kinetic energy have a totally negligible effect until proven wrong.
Total 464 watts/kg = 6.63 W/kg
The uncertainty on gravity is about 0.5 to 1%, ie at most 0.06 W/kg
The uncertainty on Air resistance is at most about 10%, ie at most about 0.06 W/kg.
The uncertainty on rolling resistance at most 10%, ie at most 0.02 W/kg.
So the total uncertainty is about 0.09 watts/kg – 1.6%
Transmission losses, according to Ed Kyle are about 2.5%, although under ideal conditions they could be as low as 1.5%.
Therefore, on his time trial up AdH in 2004, LA developed 464 + 2.5 % = 476 watts (+/- 6 watts), or more precisely 6.8 W/kg (+/- 0.1 W/kg) during 1263 seconds in the section starting at 1700m and ending at 9150 m.
People seem to like to muddle the issue by introducing microscopic effects which play at a very low level of usually less than 1%, sinking to below 0.1% on a steady climb.
CONCLUSION
EVEN WHEN INCLUDING THE UNCERTAINTY ON TRANSMISSION LOSSES WE END UP WITH A TOTAL UNCERTAINTY ON THE CALCULATION OF THE ORDER OF 2%!
How are you going to do to bring that up to 11% Andy?