yes there is a relationship between power and seat angle, but the real question is, what in the heck
is the relationship?
there is a huge no. of physiological, biomechanical, and power variables affected by rider hip angle/frame seat angle. and these can variables can also be affected by sliding the seat fore/aft in the rails; by using rear, zero, or forward setback seatposts; or by a rider just sliding on the saddle during riding. there are likely a few optimal seat angles for various body types and for different types riding and different levels of effort and duration.
however,
nobody knows what such "optimal angles" really are, as they have been studied pitifully little.
nobody seems to want to do such studies, as doing a series of good studies on this question with a decent no. of subjects would quite expensive and not easy. a few tiny and extremely limited studies have been done, but the weak conclusions one can really draw from them only hint that there
may be
some advantages to a somewhat more forward seat postion in
some situations for
some people in
some types of riding. but good luck at quantifying that angle for yourself based on any of these studies.
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but an interesting question is why are so many road bikes at 73 deg.'? i have asked this question to numerous bicycle science experts and have yet to get a satisfactory response that is backed up by data or historical records.
my guess is that there is no real reason for the 73 deg. seat angle, other than it is an approximate selection that puts most riders with 170 mm cranks in the ballpark of a passably comfortable and stable road position and it is
aesthetically pleasing (a surprisingly powerful draw in bicycle design) as it matches the 73 deg. head tube angle used by most modern bikes. beyond that, to my knowledge, there is absolutely no hard science behind the selection of the 73 deg. seat tube angle.
there is also a very powerful copy-cat culture and basic "historical inertia" within many industries, including the bike business. many companies and builders do something (like pick a particular seat tube angle) just because that is what they were taught, and because that is what everybody else is doing.
Where would you want to swim ?