To heck with KE formulas and theories
#21
Giant Nontypical
Join Date: Feb 2003
Posts: 9,175
RE: To heck with KE formulas and theories
By definition from physics, momentum, and not kinetic energy, is the correct formula to measure the directional (in this case, forward) "impulse" of a body in motion. It is the force exerted over a period of time in one specific direction, ie: a unidirectional force vector.
Kinetic energy (K.E.) is scalar, or nondirectional,in nature, and includes all the types of energy of a body in motion. K.E. has no direct bearing on penetration. A tuning fork, once struck, has high kinetic energy (it can shatter a crystal wine glass), but has almost no momentum. It would makes a darn poor penetrator of tissue!
Kinetic energy (K.E.) is scalar, or nondirectional,in nature, and includes all the types of energy of a body in motion. K.E. has no direct bearing on penetration. A tuning fork, once struck, has high kinetic energy (it can shatter a crystal wine glass), but has almost no momentum. It would makes a darn poor penetrator of tissue!
#22
Nontypical Buck
Join Date: Jan 2005
Location: Upstate New York
Posts: 2,435
RE: To heck with KE formulas and theories
Thank you Arthur P. Well here the word direct is added and that makes a big difference from what was said earlier. Its a far cry from "...an arrow's Kinetic Energy tells one absolutely nothing about how well it will penertrate..." Although I think the statement that "KE has no direct bearing on penetration" is misleading it is not incorrect. Although it is true that KE is a scalar quantity while momentum is a vector quantity it is also true that as momentum increases so does KE and as momentum decreases so does KE so the implication here is misleading because he is also implying that momentum is THE indicator while KE plays almost no role. The tuning fork comparison is far from compairing 2 arrows shot from the same bow. I have yet to see an arrow carrying say 50 ft/lbs of KE simply stay in one position and vibrate! For all intent and purpose when refering to KE of an arrow it is a vector quantity.
Thanks for the link! I think you gave me this link once before but I was unable to open it. I don't have time right now but I will give it a try later. Thanks again!
Thanks for the link! I think you gave me this link once before but I was unable to open it. I don't have time right now but I will give it a try later. Thanks again!
#23
Nontypical Buck
Join Date: Jan 2005
Location: Upstate New York
Posts: 2,435
RE: To heck with KE formulas and theories
silentassassin wrote:
Actually 40 lbs of force acting on a 40 lb arrow will accelerate it horizontally at 32.16 ft/sec/sec and if by some miracle you could construct a bow that was capable of handeling both a 400 grain and a 40 lb arrow, all things being equal the 40 pound arrow would be propelled more efficiently than the 400 grain arrow. It would of course be moving much slower but it would carry more KE. Now insted of shooting the arrow horizontally you turned the bow vertical (this is what you are attempting to set up) you would still be accelerating the arrow at 32.16 ft/sec/sec but because gravity would oppose with an equal and opposite acceleration the net force on the arrow would be 0 so you are now doing what I said in a prior post. You have so exagerated the system that you are inadvertanly changing other factors and aren't compairing apples to apples. Your distorted scenario actually compares a 40 lb bow acting on a 400 grain arrow vs a 0 pound bow acting on a 40 pound arrow. When you stay in the realm of realistic conditions and only change the mass of the arrow, the more mass the more KE and the less mass the less KE. There is no getting around it!
Using your analogy a 40 lbs bow shotting a 40 lb arrow (that it can't even budge) would have more kinetic energy than the same bow would shooting a lighter projectile than it could a 400 grain aroow that it could propel at 180 fps.
#28
Nontypical Buck
Join Date: Jan 2005
Location: Upstate New York
Posts: 2,435
RE: To heck with KE formulas and theories
ArthurP, Just finished reading Dr. Ashby's paper. Thanks again! When reading the paper in its entirety it is clear that he points out that neither momentum or KE alone are direct indicators of potential penetration. Without considering the arrow/broadhead combination you don't have much indication. I agree completely. My only issue with the paper is a minor one but I will point it out anyway as it relates to KE in this thread and of course because I find it "fun" to discuss such things! I think you and I tend to bore people with our technical blathering but here goes anyway...
Ashby writes:
In the way we all refer to KE this is not correct. Like I said before when we talk about KE in an arrow it can be considered to be a vector quantity in that it is calculated from the forward motion of the arrow only. KE =1/2mv^2. The rotaional energy for example is not included but rather is "drained" from the forward KE as the arrow moves towards the target. The other "energies" that he talks about are the reason you have less KE as the arrow moves farther and farther down range. The total energy reamains a constant and is equal to what we normally call KE + these others. The "others" are not inlcluded in the KE number. They are of course all "present" and manifested in the arrow but are not included in the number we all call KE.
In the manner we talk of KE in an arrow a tuning fork KE would be 0 not a high value as Ashby says. A tuning fork has no forward motion so if you plug that in to KE = 1/2mv^2 you get 0.
I think a lot of the disagreement regarding these issues is a result of definition and context and of course sometimes people say things and they just don't know what they are talking about.
Ashby writes:
As applied to an arrow in motion, K.E. includes such things as: radial energy due to arrow flexion, rotational energy due to arrow spin, sonic energy due to vibration, heat energy due to friction, and potential energy (all other remaining energy).
In the manner we talk of KE in an arrow a tuning fork KE would be 0 not a high value as Ashby says. A tuning fork has no forward motion so if you plug that in to KE = 1/2mv^2 you get 0.
I think a lot of the disagreement regarding these issues is a result of definition and context and of course sometimes people say things and they just don't know what they are talking about.
#29
Nontypical Buck
Join Date: Feb 2003
Location: Memphis TN USA
Posts: 3,445
RE: To heck with KE formulas and theories
Actually 40 lbs of force acting on a 40 lb arrow will accelerate it horizontally at 32.16 ft/sec/sec and if by some miracle you could construct a bow that was capable of handeling both a 400 grain and a 40 lb arrow, all things being equal the 40 pound arrow would be propelled more efficiently than the 400 grain arrow.
PS I didn't say 40 lbs of force I said a 40 lb draw
You have so exagerated the system that you are inadvertanly changing other factors and aren't compairing apples to apples. Your distorted scenario actually compares a 40 lb bow acting on a 400 grain arrow vs a 0 pound bow acting on a 40 pound arrow. When you stay in the realm of realistic conditions and only change the mass of the arrow, the more mass the more KE and the less mass the less KE. There is no getting around it!
#30
RE: To heck with KE formulas and theories
I don't care how long he has been studying or what his degree is in I am merely pointing out that the sentence you quoted is not consistent with the principles of physics. To say that KE has nothing to do with potential penetration is simply incorect.