I've seen a lot written about conversions from CUP to PSI, but, as far as I know, there is no absolute method of converting one to the other. I'm curious as to what 35,000 PSI in the 357 would equate to in CUP, but, I seriously doubt it would be 46,000, and I've never seen an instance where, when both are listed, the CUP number is higher than the PSI number.
As a point of comparison, I have an Alliant manual from a few years ago, which lists a max load of 10.7 Blue Dot as producing 1,445 FPS with the 170 Sierra at 41,700 CUP; the latest manual shows 9.7 Blue Dot to be the max, producing 1,310 FPS with the 170 Sierra and 33,800 PSI.
It seems that we are REgressing instead of PROgressing.
R-WEST
MM
PSI = -17902 + 1.51 x CUP
Many people who should know better have written that you cannot convert from one to the other. That is rubbish. The alpha risk on this calculation is .000, and the R^2 is .927. That removes all doubt about whether they are correlated, and whether you can connect them with a formula. They are. You can. The math has been done, and leaves no doubt.
All that said, you do have to recognize the limits to accuracy. Both the PSI piezoelectric and crusher methods of measuring peak pressure have a considerable amount of random error. The random error in the crusher method has a standard deviation of around 1,300 CUP or 2,000 PSI. Average ten shots, and that random error will come down by a little more than a factor of 3. It's still not very precise.
The standard deviation of the total error in the formula I gave above is about 3,000 PSI. That means that 68% of the time the error in the formula will be less than 3,000 PSI, and 95% of the time it will be less than 6,000 PSI. The error is significant, and from many sources, including the random error in both pressure measuring methods mentioned. The good news is that most gun designs will handle some margin of error. The bad news is that the published pressure data is NOT terribly precise. The measurement systems used just "don't have it in them." That is part of the reason that maximum loads vary so much from manual to manual.
R-WEST
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