• The Shot You’ll Never Forget Giveaway - Enter To Win A Barrel From Rifle Barrel Blanks!

    Tell us about the best or most memorable shot you’ve ever taken. Contest ends June 13th and remember: subscribe for a better chance of winning!

    Join contest Subscribe

Who uses a concentricity gauge?

slm9s

Sergeant
Full Member
Minuteman
Aug 18, 2008
780
72
WA
I understand what they do, but how does one go about improving the concentricity of the ammo I load? I just see myself shaking my head thinking 'this batch is worse than the last.' When you first started using it, what steps did you take to improve your results?
Thanks.
 
Re: Who uses a concentricity gauge?

My concentricity measures less than .0005 ( that's less than a 1/2 of one thousandth) as measured on the case, neck, and ogive using the Sinclair gauge. How I get there is by using Redding Type S Fullsize bushing match dies, neck turned Lapua Brass, and Berger Bullets.
 
Re: Who uses a concentricity gauge?

<div class="ubbcode-block"><div class="ubbcode-header">Originally Posted By: slm9s</div><div class="ubbcode-body">I understand what they do, but how does one go about improving the concentricity of the ammo I load? I just see myself shaking my head thinking 'this batch is worse than the last.' When you first started using it, what steps did you take to improve your results?
Thanks. </div></div>

I've got a Bersin concentricity gage/fixer for 30/06 and 7RM cases.

It has a Swiss made dial gage which measures <4/10,000ths of an inch.

Your reloading equipment can be a cause of runout, but if you ascribe to M.L. McPherson's theory, most runout is simply caused by cases being fired in a gun.

Since the wall thicknesses vary in any case and from case to case in a batch, the constant expansion/contraction via firing will cause the cases to take on a 'banana' shape, because the thinner areas don't expand/contract to the same degree that thicker spots do.

For these examples, you can nudged the bullet back the other way and get it started down the bore's axis as true as humanly possible.

I've measured 7RM ammo that I loaded years back with basic RCBS dies and then some I loaded up with a Redding body die and a neck bushing die and there was a noticeable, but diminished amount of runout in the Redding loaded stuff. Press is a Dillon 550b, so that stayed the same.

I hope to pick their 223/308 family gage body in a couple of weeks.

Chris
 
Re: Who uses a concentricity gauge?

Yes I use a concentricity gauge every time that I reload. You can't improve what you don't measure. In my humble opinion reloading is all about attention to detail, exact measurements and consistency.

When I go to the field to shoot I want to focus on one thing and that is the fundamentals of marksmanship. I don’t want to wonder in the back of my mind if I am going to have issues with my kit or my reloads.

But that is just me & I tend to be anal retentive.
 
Re: Who uses a concentricity gauge?

I use a Sinclair, and I trust what it says, I had a Hornady and I did not trust it at all, it could have been my technique using it

Chris where are you getting a Bersin Gauge from, I googled it and found no retailers, just forum posts, Thanx.
 
Re: Who uses a concentricity gauge?

I use one and have learned a couple of tricks to reduce runout. 1. stop using an expander ball on the decapper stem after the first firing. 2. size and seat more slowly. Seems to allow things to center up better.

I saw a youtube vid once of a guy that would attempt to fix runout in loaded cartridges by bending them back straight. I tried it. It did reduce runout in those rounds but created some of the largest groups I've ever experienced. I wont be doing that any more.
 
Re: Who uses a concentricity gauge?

<div class="ubbcode-block"><div class="ubbcode-header">Originally Posted By: 427Cobra</div><div class="ubbcode-body">I use a Sinclair, and I trust what it says, I had a Hornady and I did not trust it at all, it could have been my technique using it

Chris where are you getting a Bersin Gauge from, I googled it and found no retailers, just forum posts, Thanx. </div></div>

From the manufacturer: Island Machine in New York:

This was a 4/2/11 email, so prices might have gone up. I plan to order either a single 223/308 Small Rifle body, since I have a gage already, or order their 2 pack: 2 bodies, one gage.

"Chris you are looking for a Small body cost is $170.00 plus $12.00 shipping. You can order at this e-mail with a Master Card or Visa or call 518 561-0307 9am to 4pm eastern time Mon. thur Fri. or 518 562-1232 other times.

Marvin Benton"


<span style="font-size: 11pt">[email protected]</span>

The two body set is $279 + $14 shipping w/fitted 'gun case' IIRC.


BersinTool1.jpg



The big issue with this, or any pusher tool, is that it can upset neck tension via nudging the bullet back and forth, within the neck, however, most of my measurements were only a couple/few thous off and honestly, unless you're just 'bending' the necks back and forth more than a few times, repeatedly, it's not stretching anything more than very minute amount.

Now, when I first started using it, I did go back and forth and probably loosened things up a tad, but I don't turn my necks, so even using bushing dies and annealing, it's not a uniform tension anyhow.

Each end of the body will do a family of cases, so you can have 30'06 types on one end and the 7RM on the other.

Their Varmint 22-250 body comes which a Swiss made gage that reads to 2/10,000ths with plenty of room between hash marks, so think about that for a moment. It's quite easy for me to get zero TIR.

Chris



 
Re: Who uses a concentricity gauge?

<div class="ubbcode-block"><div class="ubbcode-header">Originally Posted By: ChrisGarrett</div><div class="ubbcode-body"><div class="ubbcode-block"><div class="ubbcode-header">Originally Posted By: 427Cobra</div><div class="ubbcode-body">I use a Sinclair, and I trust what it says, I had a Hornady and I did not trust it at all, it could have been my technique using it

Chris where are you getting a Bersin Gauge from, I googled it and found no retailers, just forum posts, Thanx. </div></div>

From the manufacturer: Island Machine in New York:

This was a 4/2/11 email, so prices might have gone up. I plan to order either a single 223/308 Small Rifle body, since I have a gage already, or order their 2 pack: 2 bodies, one gage.

"Chris you are looking for a Small body cost is $170.00 plus $12.00 shipping. You can order at this e-mail with a Master Card or Visa or call 518 561-0307 9am to 4pm eastern time Mon. thur Fri. or 518 562-1232 other times.

Marvin Benton"


<span style="font-size: 11pt">[email protected]</span>

The two body set is $279 + $14 shipping w/fitted 'gun case' IIRC.


BersinTool1.jpg



The big issue with this, or any pusher tool, is that it can upset neck tension via nudging the bullet back and forth, within the neck, however, most of my measurements were only a couple/few thous off and honestly, unless you're just 'bending' the necks back and forth more than a few times, repeatedly, it's not stretching anything more than very minute amount.

Now, when I first started using it, I did go back and forth and probably loosened things up a tad, but I don't turn my necks, so even using bushing dies and annealing, it's not a uniform tension anyhow.

Each end of the body will do a family of cases, so you can have 30'06 types on one end and the 7RM on the other.

Their Varmint 22-250 body comes which a Swiss made gage that reads to 2/10,000ths with plenty of room between hash marks, so think about that for a moment. It's quite easy for me to get zero TIR.

Chris



</div></div>

yup that is the tool i use, its great , costs allot. I dont understand other runout tools because they measure but do not adjust it. Whats the point in that ?

if your not already meplat trimming and all that other stuff this is not something i would get. One of these days i'll get around to testing it out.
 
Re: Who uses a concentricity gauge?

I have one. Seldom use it. All it tells me is which equipment is subpar and I tend to avoid that stuff. For accuracy, I have gravitated to chamber type seating dies.

I have heard suggestions; mark the high side and always chamber the round with the cartridge in the same orientation. Never tried it, but it seems a bit inconvenient, in some applications? BB

edit: regarding the above advice: I use Glazer ammo in my Bauer 25ACP. I hope I never have to use it because it makes a fearsome owie. (sp)
 
Re: Who uses a concentricity gauge?

+3 for Tbass - you can't fix what you don't measure. I use the Forster concentricity gauge. Measure the brass before and after sizing and after bullet seating as a minimum. You will be surprised where the gauge will lead you for process improvement to minimize or eliminate runout.
 
Re: Who uses a concentricity gauge?

Exactly. Use the gauge to detect excessive runout and fix runout by isolating what process in case prep, sizing, or bullet seating is causing the runout. Shoving the bullet or case around once the bullet is seated won't work.
 
Re: Who uses a concentricity gauge?

<div class="ubbcode-block"><div class="ubbcode-header">Originally Posted By: KIMO</div><div class="ubbcode-body">Exactly. Use the gauge to detect excessive runout and fix runout by isolating what process in case prep, sizing, or bullet seating is causing the runout. <span style="color: #3366FF">Shoving the bullet or case around once the bullet is seated won't work.</span> </div></div>

It will work and you assume that runout is solely caused by the mechanical sizing of a case, or by the seating of a bullet and it's not.

Chris
 
Re: Who uses a concentricity gauge?

<div class="ubbcode-block"><div class="ubbcode-header">Originally Posted By: ChrisGarrett</div><div class="ubbcode-body"><div class="ubbcode-block"><div class="ubbcode-header">Originally Posted By: KIMO</div><div class="ubbcode-body">Exactly. Use the gauge to detect excessive runout and fix runout by isolating what process in case prep, sizing, or bullet seating is causing the runout. <span style="color: #3366FF">Shoving the bullet or case around once the bullet is seated won't work.</span> </div></div>

It will work and you assume that runout is solely caused by the mechanical sizing of a case, or by the seating of a bullet and it's not.

Chris</div></div>

I don't assume anything although my comment might lead you to believe that. My bad.

When I handload on perfected loads in .260 and 300wm and check runout, I'm getting 1 to 1.5 thou or less. That is using quality components on quality equipment. There have been occasions when I have had excessive runout and gone through the machinations to determine what was causing it. Eliminating the excessive error in this way works too.

The Bersin .pdf is a good read. http://www.centuryarms.com/bersin.pdf I'm glad that it is working for you. If you could send it to me for a bit, I'd like to try it out on some intentionally poor runout ammunition (commercial).
 
Re: Who uses a concentricity gauge?

<div class="ubbcode-block"><div class="ubbcode-header">Originally Posted By: KIMO</div><div class="ubbcode-body"><div class="ubbcode-block"><div class="ubbcode-header">Originally Posted By: ChrisGarrett</div><div class="ubbcode-body"><div class="ubbcode-block"><div class="ubbcode-header">Originally Posted By: KIMO</div><div class="ubbcode-body">Exactly. Use the gauge to detect excessive runout and fix runout by isolating what process in case prep, sizing, or bullet seating is causing the runout. <span style="color: #3366FF">Shoving the bullet or case around once the bullet is seated won't work.</span> </div></div>

It will work and you assume that runout is solely caused by the mechanical sizing of a case, or by the seating of a bullet and it's not.

Chris</div></div>

I don't assume anything although my comment might lead you to believe that. My bad.

When I handload on perfected loads in .260 and 300wm and check runout, I'm getting 1 to 1.5 thou or less. That is using quality components on quality equipment. There have been occasions when I have had excessive runout and gone through the machinations to determine what was causing it. Eliminating the excessive error in this way works too.

The Bersin .pdf is a good read. http://www.centuryarms.com/bersin.pdf I'm glad that it is working for you. If you could send it to me for a bit, I'd like to try it out on some intentionally poor runout ammunition (commercial).

</div></div>

Well, if you accept the 'fact' that the reloading process isn't 'always guilty' of causing runout, then you have only few ways to 'fix' runout and that's either bending the necks ah-la the Neco 'straigtener' (or something along that line, or you can get the H&H runout fixer, which is a different way of going about solving the problem, or I guess you can buy the traditional 'nudgers' like the Hornady, or Bersin tools.

I may scan the articles by M.L. McPherson (copyright violations?) and let you read his thoughts, but if you Google his name, you might come up with them.

He wrote the manual for the Neco concentricity gage and feels that this type of tool is just not repeatable enough for his tastes. He did a couple of reviews on the Bersin tool for AccurateShooter, or PrecisionShooter, so those might be places to look.

I'd have no problem sending off my unit, but my tool only does 30'06 types cases on one end and and 7RM on the other.

It would be easier for somebody to send me a few loaded rounds for me to check, after they're measured for runout on whatever tool they're using.

I may be getting the 223/308 and the Nordic 338LM bodies in the next month, so that would accomodate more of the typical rounds we're loading here.

Chris

 
Re: Who uses a concentricity gauge?

Quality components, quality dies, quality press, are key.....that said....

IMO, properly annealed necks/shoulders lends to better concentricity vs. necks/shoulders with too high a degree of hardness.

Expanding necks in a second step by pushing the neck up over the expander instead of pulling it down over, with my standard run of the mill Redding FL dies, also lends to better concentricity.

Of course, it's a physical impossiblity to achieve good concentricity with necks that are not turned to as uniform a thickness as possible.

As mentioned already, sizing and seating slowly also helps reduce bad runout.

Regarding seating, I always turn my case three to four times until the bullet is fully seated, even in my Redding Comp Seaters.

All the above produces very straight ammo for me. I too fall into the catagory that I need to prove to myself that each round is straight. Nothing on the market satisfied me though so I built the gauge pictured below that has a straightener for the occasional round that needs a tweak.

The case rides on four roller bearings, and it can be set up to roll on the necks or the shoulders, and it can measure anywhere on the case that I want. It can be set up to measure/fix anything from .223 to 300 Ultra.

I'm not a benchrester, but my stuff usually shoots from 1/4 MOA to 1/2 MOA, which is all I need for hunting, and for plate shooting out to 1K. I don't get too anal about it, just reload 'em, measure 'em, and tweak 'em if they are not +/- .001" coming out of the press.

Is measuring worth it, and in my case, fixing them help?

I believe so.......

0217112252a95205173.jpg
 
Re: Who uses a concentricity gauge?

<div class="ubbcode-block"><div class="ubbcode-header">Originally Posted By: slm9s</div><div class="ubbcode-body">how does one go about improving the concentricity of the ammo I load? Thanks.</div></div>Concentricity issues have almost everything to do with the thickness of the case walls (read: neck walls). Therefore, the quality of the case itself is probably the biggest factor in improving overall concentricity at the neck (and in the case body as well).

You can segregate cases by weight, turn necks, use mandrels, and measure until the cows come home, but if it's not done correctly, and together, then one or two operations in isolation are as likely to increase runout as it is to reduce it. Therefore, if a better seating die is the only thing you do to 'improve' your runout numbers it will fail to improve case neck concentricity.

Case body concentricity is another matter, and that's what you see (mostly) when measuring at the bullet end of the loaded round. Cases warp when they are fired in a chamber at pressure, and there's not much that can be done about that. This is one of the reasons why target shooters soft-seat their bullets. Of course we don't (can't) do that, so we just FL size and call it good. Why? because we don't (can't) run tight chambers.

That's one reason why I give the advice not to manually anneal practical precision rifle ammo, but to simply assess the wear on the brass, then throw them out when they need annealing - because they're probably also warped enough by then to require replacement with new brass.

I've seen people straighten aluminum arrows in archery, so know that is possible, but I've never seen it done or known it to be done with brass cases. If anyone can tell me how it's possible to salvage an out-of-round case by straightening it please let me know, because that's news to me.

So, the short answer as to the best thing you can do: Buy Lapua brass if they make it in your caliber.
 
Re: Who uses a concentricity gauge?

<div class="ubbcode-block"><div class="ubbcode-header">Originally Posted By: Rookie</div><div class="ubbcode-body">I use one and have learned a couple of tricks to reduce runout. 1. stop using an expander ball on the decapper stem after the first firing. 2. size and seat more slowly. Seems to allow things to center up better.

</div></div>

Very well put. This is the primary reason I use a concentricity gauge. It's more of a quality check. If something is awry, I can stop and re-evaluate, for example, doing what Rookie suggests above. I sort my bulk brass by concentricity. I have found this to be more effective than weight sorting. I've tried sorting Lapua brass by concentricity but this proved a waste of time.

Merry Christmas everyone!

Jason
 
Re: Who uses a concentricity gauge?

I use a concentricity gauge as a final QC check.

I find that the "straightest" rounds are produced when I use my Lee Collet die to neck size. With new (to me) brass I body size with a Redding Body die and then neck size separately with the Lee collet. Extra work but only the first time and I sure get some nice concentric loads.
 
Re: Who uses a concentricity gauge?

i noticed using my sinclair tool that my .510 750 amax projectiles produce about .001 runout , most of them. I would say its the tool but i have plenty of stuff lying around that produces less. This makes me think its impossible to produce less then .001 runout with those rounds.
 
Re: Who uses a concentricity gauge?

I use a Bersin tool, and a gauge that I made. The one I made has "V" blocks out of a delrin like plastic, and a micrometer feeler gauge to check case necks, and runout on loaded rounds.

A couple of things that have helped me get less runout:
1. Make sure that the inside of the case neck is adequately lubricated. Simple step, but sometimes missed.
2. Allow the expander ball to be a bit loose in the die so it can float as the case is withdrawn from the sizer die.
3. Put the bullet onto the case as straight as possible. Just touch the bullet to the bullet seater plug to just barely get it started into the case mouth. Then while pushing the bullet into it's final seating depth, rotate the 45-90 degrees a few times rather than seating with one big push. This way, if the bullet is off center a bit, by rotating the bullet, it has a chance to re-align.
4. Insure that the dies are clean. Often just a wee bit of junk or grease can get into the die and push things off center. A long Q-tip with alcohol on the swab end cleans things out nicely.
5. Also insure that the case holder is clean as junk in the groove where the extractor rim sits can push the case off center. Insure that where groove where the case holder seats into the ram is clean for the same reason.
6. When setting up the dies, use a flat machine washer between the shell holder and the bottom of the die to push the die up a bit prior to tightening down the die lock ring. While the die is thusly pushed up, tighten down the lock ring. This helps insure that the lock ring doesn't kick the die off center a little bit.

If each of these little things eliminates .0005 runout, it will result in considerably better concentricity of the reloads. Anyhow, they all seem to work well for me.

For what it is worth, most of my problems with runout used to be caused during the case sizing operation, not during bullet seating.
 
Re: Who uses a concentricity gauge?

<div class="ubbcode-block"><div class="ubbcode-header">Originally Posted By: Leaddog</div><div class="ubbcode-body">My concentricity measures less than .0005 ( that's less than a 1/2 of one thousandth) as measured on the case, neck, and ogive using the Sinclair gauge. How I get there is by using Redding Type S Fullsize bushing match dies, neck turned Lapua Brass, and Berger Bullets. </div></div>

Use this method... problem solved. Why complicate things?
 
Re: Who uses a concentricity gauge?

Sinclair concentricity guage. If you measure throughout your process you may discover when you induce runout. We use a Wilson Bullet seater which is quite nice to be beat runout as well.
 
Re: Who uses a concentricity gauge?

<div class="ubbcode-block"><div class="ubbcode-header">Originally Posted By: PappaSniper</div><div class="ubbcode-body">Sinclair concentricity guage. If you measure throughout your process you may discover when you induce runout. We use a Wilson Bullet seater which is quite nice to be beat runout as well. </div></div>

+1 I was able to refine my bullet seating technique by checking runout with a Sinclair gauge. Also found expander plugs on Redding bushing neck sizing dies were causing runout so I removed them.
 
Re: Who uses a concentricity gauge?

I was going to post something in this thread about my Sinclair concentricity gauge, but wound up modifying it, and then making a one minute video about the mod.

<object width="425" height="350"> <param name="movie" value="http://www.youtube.com/v/zWHE3ArWpN0"></param> <param name="wmode" value="transparent"></param> <embed src="http://www.youtube.com/v/zWHE3ArWpN0" type="application/x-shockwave-flash" wmode="transparent" width="425" height="350"> </embed></object>
 
Re: Who uses a concentricity gauge?

I just started using a Sinclair concentricity gauge. I am pursuing this runout issue all out. What I have been unable to find is someone who has a definitive test on loads that are concentric verses loads that are .003-.005 out. What does it do at the 600 yd. target with "straight" verses "crooked" ammo? All I could find on the internet was a guy that won the 1000yd. nationals, who said it really didn't matter. Has any one here tested loads like this or found any research on it?
 
Re: Who uses a concentricity gauge?

Bullettilt.jpg

"The NRA Handloader's Guide" 1969 enlarged and revised from "The
American Rifleman" with article copyrights from 1950 - 1968


"Gauging Bullet Tilt"

THE MOST PRECISE AMMUNITION
FROM A LOT CAN BE SELECTED
WITH A BULLET ALIGNMENT GAUGE.

By A. A. ABBATIELLO

Other factors being normal, bullet
tilt with respect to the case center-
line affects group size. If the barrel
length and twist are known, it has been
found possible to predict the direction
from the group center in which the tilted
bullet will strike. If the amount of tilt
is known, the distance from the group
center can be predicted.
Significant score improvement has
been noted by those who have tried
such gauged ammunition.
In cal. .30 long-range shooting, the
best match-grade ammunition will group
in one to 2 minutes of angle under test
conditions. Part of this spread is due
to the bullet tilt with respect to the
case centerline, imposed by the bullet-
seating tool. This tilt displaces the bul-
let’s center of gravity slightly to one
side; in bullets such as the cal. .30 Ml,
the amount is about 1/8 the displace-
ment of the bullet point. It enlarges
groups by amounts up to one minute.
These deviations become proportion-
ately less as the tilt is reduced. Tilts
over .O04" do not seem to increase the
dispersion of the group beyond the ex-
pected one minute. Perhaps this is
because a well-fitting chamber has a
tendency to straighten any rounds
which are excessively tilted. Other ex-
planations are possible.
The gauge consists of a V-block
which permits rotating the round about
the bullet point and 2 tangent spots
near the case head. A dial indicator
which reads in tenths of thousandths of
an inch (.0OO1") bears on the bullet
near the case neck. Half the total indica-
tor reading is used as the displacement
for determining the classes into which
the rounds are separated. The high point
is also marked at this time for orienta-
tion of the round in the rifle chamber.
Rounds with .0O2" tilt or less can
be considered good enough for long-
range use, while those with .O03" and
.OO4" tilt are best used only at short
ranges. In general, it was concluded
from target results that each .0Ol" of
tilt will increase the group spread about
1/4 minute of angle, up to a maximum
of .OO4" as mentioned above.
Under test conditions, it was found
that when the rounds were chambered
with the high point always in the same
orientation, the groups were smaller
than when it was randomly oriented.
Gauging and orienting the rounds can
produce the smallest groups of which
that ammunition is capable.
These ammunition refinements are
becoming important, particularly in
long-range matches.
The essentials of the tilted bullet were
discussed in detail no less than 50 years
ago by Dr. F. W. Mann in his book
"The Bullets In Flight". He pointed out that
the balance of the bullet and the spiral
path of the center of gravity are of
high importance in accuracy.

Following a discussion between
George L. Jacobsen of Frankford Arse-
al and the writer at the 1959 National
matches, a trial of the effect of neck
concentricity was carried out by Jacob-
sen. He described his results in ".30-’O6
Cartridge Cases And Accuracy", which
appeared in THE AMERICAN RIFLEMAN,
January 1960, page 20.

SEATING TOOL A FACTOR

The effects which Jacobsen found,
though small, are essentially in agree-
ment with the work reported here.
However, he did not separate the effects
of neck eccentricity and the bullet cen-
ter-of-gravity location with respect to
the bore. The angular direction of the
bullet seating tool is a controlling factor
in the initial position given to the bullet,
rather than merely case neck eccen-
tricity. Case necks can be centered or
eccentric, and the bullet can be inclined
in completely random directions. The
tilted bullet is believed to be the main
cause for center—of-gravity side shift.
The cal. .30 boattail bullet of 173 grs.
weight was selected for these tests be-
cause it is in common use and is of
sufficiently high quality for use in the
National Matches.
Using the gauge shown, 42 ammuni-
tion lots were sampled and the high
point was marked on each round gauged.
These rounds were grouped in steps of
.OO1" bullet tilt, and the data tabu-
lated. The results gave a bell—shaped
curve for 829 rounds of match ammu-
nition, peaking at about .0O2" (see
illustration). Measurements on Service
ball ammunition produced a curve of
similar shape, but peaking at about
.0025" tilt.
This graphically illustrates that even
match-grade ammunition has appreci-
able variations. There is a large spread
among particular lots and boxes. In
general, 10% to 20% of each lot, de-
pending on ammunition quality, falls
into .0O3", .0O4" or even up to .O10"
tilt. Run-of-the-mill ammunition can
thereby enlarge groups to about twice
the size which the same ammunition
can show when it is gauged before firing.
Since the tilt angle of the bullet is
so small (about 1/4 °) it is difficult to
perceive visually. The gauge, however,
makes the sorting a fast, routine step.
A mathematical solution of this prob-
lem was also tried (see box) and is in
good agreement with the results ob-
tained. It is gratifying to find the math-
ematical solution and the experimental
results in agreement.



MATHEMATICAL SOLUTION

A laterally displaced center of
gravity moves through the rifle bore
in a helical (screw) path. The pitch
of this helix is the pitch of rifling,
and its radius is the lateral displace-
ment of the center of gravity. On
leaving the muzzle, the center of
gravity continues in the direction it
had at that point. For example, if it
leaves at top of the bore and rifling
is to the right, the departure will be
to the right. The bullet travels ap-
proximately 2l.5" in a 24" barrel,
making 2.15 turns in the 10" twist
of rifling. The number of turns
shows the orientation on emergence
compared with that in the chamber
before firing. The angle of emer-
gence is that angle whose tangent is
2 pi times the lateral displacement
divided by the rifling pitch. For
.004" point displacement and I0"
rifling pitch, the tangent is 1/8(2·pi)
(.004)/l0 and the corresponding
angle is 1.1 minutes.
The displacement on target from
this cause is proportional to the
range and can be obtained without
noting the angle. For example, ,004"
point displacement gives in l0"
rifling pitch, so far as this mecha-
nism goes, a target displacement at
100 yds. (3600") indicated by the
proportion .00l· pi /10=X/3600, from
which x =1.1".