Thanks for reading my article and for the comments guys.
britz,
Thank you for your critical analysis. It's good to challenge ideas that don't mesh with observations. Let's put your comparison of the .30 cal 190 and the 7mm 168 under the microscope.
I agree that the .30 cal has 18% more (base) surface area and only 13% more weight than the 7mm, which means the 190 can be expected to have a little higher muzzle velocity. As you point out for two magnum cartridges, the difference is about +50 fps in favor of the .30 cal for these bullets.
The 'disconnect' between the above math and my position in the article is that the 7mm 168 and the .30 cal 190 are not equally proportional for their weights. In other words, the 7mm 168 is quite heavy for 7mm, whereas the 190 is a middleweight for .30 cal. If you scale all the dimensions of a 7mm 168 grain bullet to .30 cal, the bullet would weigh 214 grains. The 190 grain .30 cal bullet scales to a 149 grain 7mm bullet.
In order to do this scaling exercise, multiply the bullet weight by the cube of the caliber ratio. In equation form: 168 * (.308/.284)^3 = 214. You have to cube the caliber ratio because weight is proportional to volume, which is proportional to the cube (lengthXwidthXheight).
This is similar to the principle you used to scale the base area of the bullets. Area is proportional to the square of the caliber ratio. (.308/.284)^2 = 1.18, or 18% difference.
So in your example with the 30 cal 190 and the 7mm 168, the reason why the 30 cal can achieve higher velocity is because the 190 is proportionally lighter for the caliber than the 168 is for the 7mm.
Another thing to put under the microscope is the advertised BC's for these two bullets. I've measured BC's for many bullets using the same method that's repeatable within +/- 1%. The measured BC of the .30 cal 190 MK is 0.527 (average from 3000 fps to 1500 fps). This is practically identical to what Sierra advertises for this bullet. The curve ball is the 7mm 168 MK. Using the same measurement technique, I measured a BC of 0.565 (average from 3000 fps to 1500 fps), which is about 13% higher than advertised! It's not hard to believe if you consider the sectional densities of the bullets (0.298 for the 7mm vs 0.286 for the .30 cal). BC is mostly dictated by sectional density, with a correction based on form factor. If both bullets had the same form factor, you could expect the 7mm to have a 0.298/0.286 = 1.04 times higher BC than the .30 cal. In fact, the 7mm has a measured BC that's 0.565/0.527 = 1.07 times higher than the .30 cal, which means the form factor is about 3% better for the 7mm. Looking at these bullets side by side, it's believable.
When I visited the Sierra plant in Missouri this past fall, I pointed out that they were underselling the BC's on their 7mm bullets. They said "we know". I asked why they don't correct the advertised number. A shrug is all I got.
I hope this helps to answer your concerns about the apparent contradiction between my article and your observations with the 30 cal 190 and 7mm 168 bullets.
threethreeeight,
You make a very good point about kinetic energy favoring larger calibers. I wrote that article for the context of target competition where (as you pointed out) KE is a non issue.
There is something to say for the smaller calibers though...
Consider a 150 grain and a 200 grain bullet impacting a target at the same speed. The 200 grain bullet will hit with 200/150 = 1.33 times more KE. Now consider the effects of velocity. If the 200 grain bullet hits at 1800 fps, it will deliver 1437 ft-lb of KE. The 150 grain bullet would need to hit at 2078 fps to deliver the same energy, which is only 2078/1800 = 1.15 times the velocity of the 200 grain bullet. The point is that KE is more dependent on velocity than weight. If a lighter, but higher BC bullet can strike with more velocity, it helps to make up for the fact that it's not as heavy as a larger caliber bullet.
Just some more food for thought.
Buffalo Bob,
There are 230 grain .30 cal's on the drawing board (Hunting VLD and BT Target) right now. They'll need to be made on the same press as the .338's, so it's gonna be a while but the need has been identified and they're coming.
I'd be happy to talk about Palma shooting with you, but I can't guarantee you'll beat your daughter! Statistically, girls are hands down better shooters than guys!
Take care guys, and thanks again for your comments,
-Bryan