Tour de France Tour de France 2023, stage 16: Passy - Combloux, 22.4k (ITT)

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I'm really curious about the bike calculations. Riders who stay on their TT bikes will benefit from decreased wind resistance even on the hill, but riders who change to their road bike will benefit from a lighter weight bike. Which saves more time?

On a 6-minute steep climb, assuming road bike is 2 kilo lighter, one could gain around a dozen or so seconds (so not much more than a time loss due to a bike change). This is a simplified assumption cause:
1) Gravity isn't the only resistive force to overcome - on a steep climb it's a large majority but not all (the remaining force will be smaller with a TT bike)
2) Power output may vary on TT bike (vs road bike) with possible advantage of the latter.
Those two factors have opposite influence which makes things more difficult plus there's a shallower section also (which alone can actually make very little difference due to moderate gradient ).
 
On a 6-minute steep climb, assuming road bike is 2 kilo lighter, one could gain around a dozen or so seconds (so similar to a possible time loss due to a bike change). This is a simplified assumption cause:
1) Gravity isn't the only resistive force to overcome - on a steep climb it's a large majority but not all (the other forces will be smaller with a TT bike)
2) Power output may vary on TT bike (vs road bike) with possible advantage of the latter.
Those two factors have opposite influence which makes things more difficult plus there's a shallower section also (which alone can actually make no net difference).
They are rolling at 26mph/41.8kph up the hill. Yes, lots of factors.
 
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Pushing IS allowed, because on a TT bike you are riding such big gears, that it is very difficult to get going without a little "start help". It's the same reason TT's always start on a ramp.

Removing the possibility would maximise the effects of technical issues, like a crash, flat or a lost chain.
you have small enough gear on TT bike to be able to start with 0 problems - they don't have it shifted to purely because the push is allowed ;)

but let's agree to disagree about the pushing and leave it already... don't wanna spam the thread with this any more. nor it is necessary.
 
I'm really curious about the bike calculations. Riders who stay on their TT bikes will benefit from decreased wind resistance even on the hill, but riders who change to their road bike will benefit from a lighter weight bike. Which saves more time?
surely these guys have done real world tests where they ride up a 5% or so climb for 5k at 400w or whatever and see their actual PERSONAL time difference.
I dont think you can generalize too much - riders who dont concentrate on their TT setup will probably always be better off on a road bike and TT specialists may have very narrow margins