Determining "Recoil Efficiency"

solarshooter

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I have shown some calcs in the past where I've done point assessments of certain cartridges/bullets/rifles to try and determine what is the lowest recoil way to get a certain wind number. Today I decided to elaborate on this a bit and assess recoil and wind number as a function of MV and caliber.

First, I created a reference bullet for each caliber which has a weight and BC representative of the highest performing bullets in that caliber.
1736628403826.png

I then estimated powder charges needed to get that bullet to the given MV in a roughly 20" barrel. This is cartridge agnostic, and may not be perfect. I use this in conjunction with bullet momentum to calculate total recoil.
1736628455741.png

I then calculate recoil in a 9lb rifle, run the bullet at the given speed to determine the wind number, and finally calculate wind# per recoil.
1736628543106.png

The way I would use this chart is to narrow in on what bullet at what speed gives you your desired performance and what the "recoil efficiency" of that combination would be. You could then pick your barrel length and cartridge to get you that performance target. For instance, if you ask what is the minimum recoil way to get an 8mph wind number gun, the answer is a 6mm bullet at 3200fps or so, aka a 6UM. It also shows you the recoil INefficiency of larger calibers - moving up in weight is almost always less recoil efficient than going faster.
 

KyleR1985

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For the ballistically challenged, a wind number is:

Bullet X moving at Y speed gives you ______________ performance in Z mph wind.

Can you fill in the blank, or correct the back of class guy?
 

wind gypsy

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For the ballistically challenged, a wind number is:

Bullet X moving at Y speed gives you ______________ performance in Z mph wind.

Can you fill in the blank, or correct the back of class guy?

Its the wind speed at which a wind hold correlates 0.1 mil per 100 yards.

EX: 5 MPH gun or 5 MPH wind # with a 90 degree 5 MPH wind would have the following wind holds

300 yds - 0.3 mil
400 yds - 0.4 mil
500 yds - 0.5 mil
600 yds - 0.6 mil

Doesn't typically go to infinity but is a good quick way to figure wind corrections at reasonable distances.
 

KyleR1985

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Jul 28, 2019
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Its the wind speed at which a wind hold correlates 0.1 mil per 100 yards.

EX: 5 MPH gun or 5 MPH wind # with a 90 degree 5 MPH wind would have the following wind holds

300 yds - 0.3 mil
400 yds - 0.4 mil
500 yds - 0.5 mil
600 yds - 0.6 mil

Doesn't typically go to infinity but is a good quick way to figure wind corrections at reasonable distances.

Awesome thanks.
 
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excellent, what about another look (and it maybe it overlays this efficiency?) of 'most bc per gr of bullet weight' efficiency, and what diameter that generally lands on?

we might be able to finally find the end of this lrh road to the perfect most efficient choice lol (of what is most efficient blend of copper/lead bullets currently available, maybe it will help drive future development paths?)
 
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solarshooter

solarshooter

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excellent, what about another look (and it maybe it overlays this efficiency?) of 'most bc per gr of bullet weight' efficiency, and what diameter that generally lands on?

we might be able to finally find the end of this lrh road to the perfect most efficient choice lol (of what is most efficient blend of copper/lead bullets currently available, maybe it will help drive future development paths?)
The parameter you're looking for is called Form Factor.

Ballistic Coefficient is a measure of how resistant a projectile is to aerodynamic drag. The formula is:

g7 BC = SD/i7

SD = Sectional Density, mass of bullet/frontal area
i7 = Form Factor (g7), ratio of projectile measured drag coefficient/g7 reference projectile drag coefficient. Lower is better. Picking the correct reference is a whole different discussion, suffice it to say we should all be using g7 for the bullets we are interested in.

So there are two components to it. Heavier bullets with the same caliber get an increase in BC. However, you pay for it with lower MV/higher recoil for same MV. Form Factor is a measure of how aerodynamically efficient the shape is. This is "free" performance from a recoil perspective - a higher form factor bullet will give you a better trajectory for no additional recoil. If a lighter bullet has a higher form factor but lower BC than a heavier bullet, you might be able to drive it fast enough to make up the difference in BC and get a better trajectory for the same recoil.

I've compiled a list of top performing (both external and terminal ballistics) bullets from 22cal to 7mm. This is using BC values from AB app. Here it is sorted by i7:
1736963227600.png
1736963257789.png
 

AZ_Hunter

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The market really needs a factory 25PRC/SAUM/Westerner with the 130+ gr bullets. That really does look like the sweet spot.
 
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solarshooter

solarshooter

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A 25cal at 3k is high on my list of next cartridges. I have a standard bolt face and I love the 284 case, so I'm eyeing a 25-284, or maybe a 25-284 Shehane to get 3k in a 20" tube. It has similar recoil to a 6UM but better barrel life. Kind of a goofy "special snowflake" wildcat but I'm a reloader so why not.
 
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Love my 25 creedmoor with 130 class at 2800-2900.

However I have been unable to shoot the difference at 600-1000 yards between it, a 6mm creedmoor with 109s, and 22 creedmoor with 88s. There is a noticable (to me) recoil difference stepping down from 25cal to 6mm with exactly the same gun weight and nearly the same powder charge. The 22 creedmoor is 10oz lighter and feels a little different..current preference is a 9.5lb 6mm creedmoor.
 
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solarshooter

solarshooter

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How long is the barrel on that 25CM?

I have a 9.75lb suppressed 6CM that is an absolute joy to shoot. If I could hunt with 22cal in my state I would build a 22CM in a heartbeat.
 
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