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Twist increases effective weight.

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1.4K views 9 replies 4 participants last post by  mr glo  
#1 · (Edited)
Percent increase = 3,948(k/T)^2, where k is the radius nof gyration and T is the twist.

Example:

Assuming a cylindrical projectile, 0.308 in

T= 12 in/rev

k = sqrt(I/m), where I is the moment of inertia

k = sqrt[(1/2)mr^2/m] = sqrt(1/2)r = 0.707r

k = (0.707)(0.308 in/2) = 0.109 inch


Percent increase = 3,948(0.109/12)^2 = 0.326%
 
#3 · (Edited)
I read the result in a book by Corner and then derived it myself. What if you are shooting 2 bore, 3,500 gr? :)

Btw, this only applies while in the barrel. Since this effect was present during load development, it is only valuable

to someone performing a mathematical analysis of the process.
 
#4 ·
If you are increasing reaction force due to the greater combined (linear and angular) inertia, there is going to be a corresponding friction increase as well.
 
#6 ·
Very likely. I recently ran into something old in which estimates of energy lost to barrel friction were on the order of 10% of ME. It strikes me as high, and I've seen estimates as low as about a third of that, but even if I adopt that number, in 64XP-100's example, were looking at 0.02% of the total ME, or about half a foot-lb out of 2500 due to the greater twist rate.
 
#8 ·
I have always wondered if the 1:7 twist rate I have on my .284" barrel was affecting muzzle velocity. After running the numbers the 175gr bullets are effectively 180gr bullets. The increase came out to be 3.24%. Seems to make sense to me if I'm understanding the equation.
 
#9 ·
I think you forgot to divide by 2 before squaring. In addition, you do not

have cylindrical bullets. You need to know the actual radius of gyration.