Doing the Math
James -
all of those symbols are things you already know! it is just the way the engineers quantify it. this got longer than i wanted...concept might be enough to explain why higher cadence may help.
the concept...
you asked about watts - which is power at a given time - just like looking at a thermometer is the measure of temp at a given time. the 345w is the average necessary to maintain that speed.
this is important, because producing power over an amount of time is energy (like your electric bill - 60w bulb, on for 5 hours consumes as much as 100w on for 3)
why is this important - well using the light bulb, consider your headlamp - on high it consumes the battery much faster than low - but the difference in the amount of light isn't much - to go just a bit faster requires much more power over nearly the same amount of time...hence consuming more energy.
You are the battery - if not fully drained, there must be a way to produce more watts (ie, as suggested - dropping a gear and spinning faster higher average watts, more energy consumed) - this works up to the maximum throughput or breaking point of the system or an empty tank.
there may even be a combo that uses more energy - like downshifting mid-segment....standing means less aero, but the ability to produce more power.....
-----kinda boring below here, but to understand the equation---
now to the math -
the first part is the energy required to move the bike, the person, and the resistance of the bike - with respect to speed and grade.
the resistance of the bike (K1) - it is like hanging your bike in the trainer and not engaging the resistance wheel - very easy, but does require pedaling to keep it going. again an average number, since not all bikes are created equal
then the weight (mass) of the bike and person. Utah's example simplified it to flat ground, but consider you vs Jake going up zion at 10mph - jake will require a higher power level to climb at 10mph. the really interesting part here, is how fast this goes negative on a downhill grade, and having a higher mass becomes an advantage - see you knew this.
the second part of the equation is wind resistance - the K2 is the average wind resistance of person and bike - well we know this is different for each person/bike - hence skin suits, tt bikes, aero stuff, frontal area of rider in some position - you knew this...
the formula has a wind factor - this adjusts the outcome for headwind/tailwind component - tail wind makes it easier (it would be a negative number) headwind harder. You already knew this!
now the tricky part - that Va^2 factor -
you ride your bike with ease at 15mph, but it is all you can do to go 30mph - well the wind resistance at 30mph is 4 times that at 15, it doesn't matter if you are on a light or heavy bike, what you weigh, or how aero you are....damn sure you knew that overcoming the wind resistance was a major factor...
in numbers, the difference between maintaining 26.3mph and 27mph is 27watts - the difference between 25.6 and 26.3 is 22watts - same small increment (.7mph) , but the first one required 25% more power....
-----now, to the real question ----
how do i take my street back???
ride without a helmet
