It would be quite obvious that you can get an arrow so heavy it barely shoots (2500 gr? 5000gr?) the speed would kill the KE to a none lethal level but the momentum would be great!
The opposite is also obvious as well with too light. What one needs to find is the optimal performance window for their particular bow for maximizing penetration ability.
KE does take mass into consideration so as you increase arrow weight the KE will still increase to a point. The momentum will also increase and then plateau. After that point the KE will drop while the momentum gains little.
so going to an overly heavy arrow say 1000g in a 70# compound will suffer huge losses of KE while gaining very little in momentum.
the intersection at the highest KE with sufficient momentum is the “ideal” arrow weight for that bow. And remember highest KE is not a light arrow- usually in this senario 70# bow it’s usually 500-600 gr arrow
I now see momentum as maintaining KE through the animal. At max KE the momentum carries it farther. With a too heavy arrow slightly more momentum has less KE to carry through possible getting less penetration.
this is the anecdotal eveidence I have seen optimized arrows penetrated very well. Heavy (past max KE) arrows did ok, but did not consistently. get more penetration, sometimes less than optimized .
So make a chart, get a chrono. Shoot many weight arrows through and chart the KE and momentum and see what your bow likes
I appreciate your detailed reply, and I agree with the majority of what you have said..
You had me scratching my head a bit when you said that sometimes
heavier is not always better.
By putting that statement in context citing that a 2500gr. or even 5000gr. arrow shot from a 70lb. bow would be impractical, I would agree. However, an arrow up to 950gr. shot from a 70lb. bow is not.. I have personally done it with considerable success on both Cape buffalo and Asian water buffalo along with several of my friends and customers who I have worked with to build their arrows for maximum performance. But, I would also agree that this is a special circumstance and a 950gr. arrow is not practical or necessary for the average bowhunter pursuing North American or African plainsgame.
I would also push back on this a bit..
Perfect flight and a super sharp broad are more important.
As an example, If a hunter is shooting a 50lb. bow with a 2' Rage broadhead screwed into an arrow with a total weight of 380gr., I would argue that with this kind of set-up, prefect flight and a super sharp broadhead would not be the most important factors in an attempt to optimize penetration.. I guarantee this hunter would have poor penetration 9 out of 10 times due to a combination of inadequate total arrow weight & FOC, and poor broadhead choice. Whereas an arrow built with 20% FOC and a total arrow weight of 475-550gr. topped with a compact, sharp, fixed-blade broadhead will significantly outperform and out-penetrate any lighter arrow with the sharpest broadhead. Near perfect arrow flight is a default requirement for any scenario regardless of total arrow weight and broadhead choice.
I agree with you that for most hunters, there is a optimal point for each individual that maximizes their penetrating capability depending on all of the variables discussed, and that optimal balance lies somewhere in that 500-650gr. range. However, where I would push back somewhat is that I believe that optimal threshold, especially for hunters shooting lower poundages and shorter draw lengths, is actually higher than you might have indicated. Heavier arrow builds benefit them exponentially more than those capable of shooting higher poundage bows at longer draw lengths.
I have been a bow hunter for nearly 40 years. I have owned a bow shop for the last 15. We have seen tremendous advances in technology over the last 20 years. We also have a much better understanding of the physics that affect arrow & broadhead performance, momentum, and penetration. I came from that traditional school of thought by which the manufacturers of the equipment dictated (incorrectly in most regards) the industry standards. Bow, arrow, and broadhead designs where based on marketing appeal rather than practical field results, and still are in many regards. For decades these manufacturers marketed arrow speed as the paramount factor, while actual field performance was basically being ignored. I bought into it myself early on and got away with less than optimal results because I generated enough KE from my own set-up to compensate for the lighter arrows I was shooting.. It was actually the poor results I was seeing from those hunters who could not generate enough KE that were significantly struggling with penetration issues shooting lighter albeit faster arrows.
Then I discovered Dr. Ashby's research which led me to do a great deal of my own experimentation on his findings and recommendations. Suffice to say, I have seen incredible results in my own hunting experiences by building my set-ups based the physical principles of his findings. And, I have since tried to encourage my hunting buddies and customers to build their set-ups with combinations that will deliver that optimal balance of penetration and practicality. In my experiences, I would offer that heavier is better up to a point, but that point is likely a lot higher than most would expect for the vast majority of practical hunting applications.