Woodely,
i have cut and pasted this from some info i am starting to collate for our website.
its very disjointed, and in point form...kinds!
but there may be some info in there that you can use.
also here is a link to a page that does some very technical analysis of back tapered shafts.
for the longest time , i have always attributed the improvement in performance to the increase in FOC, but it goes a lot deeper than that.
this link was posted on this forum a little while ago, i found it fascinating and highly informative, so we made contact with the original author, and acquired his permission to publish it on our site.
http://www.trueshaftarchery.com/technical-information-1.htmland heres the "cut n' paste"
FOC
Low is 0-7%
Normal 7-12%
High 12-19%
Efoc 20-30 % - (extreme FOC)
UEFOC 30% + (ultra extreme FOC)
The greater the foc, the stiffer the spine required
The greater the foc, the longer the control arm, the smaller the fletches required
Higher foc will effect long range trajectory- closer to 0% foc will improve long distance trajectory- this has to do with the angle of attitude of the projectile changing as the velocity reduces in flight.
EXAMPLE
50# longbow @28 = 50-55 shafts
Cut to 30.25 to give a length of 29to BOP
With 125gr pt
With 11 gpi shafts (380gr@34)
Will produce a 500 gr finished arrow or 10gr per pound of draw.
Will give FOC of 13%
HOWEVER
taper back 9 to 5/16 will give FOC of 14.3%
Taper back and add 200 gr pt =FOC of 20%
Weights on arrows.
3 x 4 fletches -10gr
3 x 5.5 fletches -13gr
Glue 3gr
Snap on 11/32 17gr
Snap on 5/16 12gr
Urethane finish - 6gr per coat
Cap wrap 10gr
Cresting 5gr
Remember: adding weight to the back of the arrow, will make the arrow behave stiffer
Tail taper reduces weight of shaft by 8-10gr ( 11/32 to 5/16 over 9)
reducing weight on the back- improves FOC, but also makes the arrow behave weaker
Lightest scenario-
fletches 10gr
Glue - 3gr
5/16 nock -12 gr
tail taper (subtract 10 gr)
total rear mass of 15 gr
Heaviest scenario
Fletches - 13 gr
Glue - 3gr
11/32 nock -17gr
Cap wrap - 10gr
Cresting 5gr
Total rear mass of 38gr thats 2.5 times heavier!!!!
thats a 23gr difference.