@marzjennings to save you looking, I'll even repost it here for you.
From here
In fact, I'll give it a quick go as an example.
Using information from Stage 18 of the 2013 tdf available here
http://velonews.competitor.com/2013...sis-stages-18-19-at-the-tour-de-france_296653 with over 4km of climbing on the stage.
Using Normalised power as the power
Power = 314W
Cadence = 82rpm
Crank Length = 172.5mm (No crank length data so we will just use this)
So Power = work/time
314W = work/time
To find the time we know the crank has radius 172.5 so has diameter 345mm Which has circumference pi*d which comes out to 1083.84mm, since this crank length is already an assumption, I'm quite happy to call this 1.1m for simplicity of calculation.
With a cadence of 82rpm it takes 0.73seconds per revolution
Rearrange power = work/time to work = Power*time
work = 314*0.73
= 229.22 Nm of torque
Which is 23.4 kg m Since 1m is quite close to our full revolution, half of that is what is put through 1 pedal.
So the best cyclists in the world, on a stage that involved much climbing were only putting 11.7 Kg through each pedal stroke.
The amount is tiny, in fact, the weight they put on the pedal is less than some bicycles weigh.
As you can clearly see, strength won't be a limiting factor, and squatting really won't help to get up those hills
From here
http://www.pezcyclingnews.com/toolbox/power-output-and-cadence-learning-from-the-pros/#.VazZn9xViko
That source suggests during large climbs, cadence drops to 71rpm and power stays at 311. So I'd expect the "strength" on this to be higher due to same power and lower cadence.
71rpm is 0.84s per revolution
work = 311*0.84 = 261.24 Nm or 13.31 Kg per leg
So it the pros are only using a little extra power to get up the hills, the difference isn't a massive amount.
Find the power and cadence from a track sprinter, and I'll quite happily do the math.