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#101
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casette shifting, again
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#102
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casette shifting, again
On Tue, 18 Dec 2018 09:11:06 +0700, John B. Slocomb
wrote: I'm not a ballistition (is that a word?) Nope. That's someone who operates a ballista: https://www.google.com/search?q=ballista&tbm=isch Perhaps ballisticist? but from what little I've read none of the multitude of formulas actually provides accurate results in all cases. See https://en.wikipedia.org/wiki/External_ballistics for probably more then you want to know :-) I agree, if what I was looking for is a mathemagical way to calculate the point of impact. That's quite difficult to do, considering the accumulated tolerances of all the numerous factors involved (powder load, temperature, humidity, altitude, wind, bullet weight, bullet type, barrel friction, etc). Even an over-simplified tolerance estimate of just the target width over the range is rather small. For example, a 1ft frying pan at 300 yards is: 1ft / 900ft = 0.1% accuracy Throw in all the other factors, and the % accuracy becomes much smaller. However, I'm not looking for the point of impact. I'm looking for the muzzle velocity (given the terminal velocity at some known range). I would guess(tm) that this could be calculated within to a reasonable accuracy, such as +/-10%, without much difficulty. -- Jeff Liebermann 150 Felker St #D http://www.LearnByDestroying.com Santa Cruz CA 95060 http://802.11junk.com Skype: JeffLiebermann AE6KS 831-336-2558 |
#103
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casette shifting, again
On 18/12/18 1:58 pm, Jeff Liebermann wrote:
However, I'm not looking for the point of impact. I'm looking for the muzzle velocity (given the terminal velocity at some known range). I would guess(tm) that this could be calculated within to a reasonable accuracy, such as +/-10%, without much difficulty. I have not read this entire thread, so I might be repeating what has already been suggested. *If* you know the ballistic coefficient of the projectile being used, and most projectiles on the market have this data, then with the help of an online ballistics calculator, and some careful target shooting under favourable conditions, I think you should be able to estimate the muzzle velocity reasonably accurately. For a rifle like a .222 remington, for example, I would sight it in at 100 yards, then shoot a group with the cross hairs on the centre of the target at 300 yards, & 500 yards if possible. Once the average (or median perhaps) point of impact at each range is measured, use the on line calculator to match the trajectory by iterating the muzzle velocity until there is a match. http://gundata.org/ballistic-calculator/ Mine are quite mild loads, and I estimate the muzzle velocity is 3100fps, for a 4" drop at 200 yards. -- JS |
#104
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casette shifting, again
On Mon, 17 Dec 2018 18:58:44 -0800, Jeff Liebermann
wrote: On Tue, 18 Dec 2018 09:11:06 +0700, John B. Slocomb wrote: I'm not a ballistition (is that a word?) Nope. That's someone who operates a ballista: https://www.google.com/search?q=ballista&tbm=isch Perhaps ballisticist? Actually the Wikki has it that: Balista or Ballista (died c. 261), also known in the sources with the name of "Callistus",[1] was one of the Thirty Tyrants of the controversial Historia Augusta, and supported the rebellion of the Macriani against Emperor Gallienus. https://en.wikipedia.org/wiki/Balista :-) but from what little I've read none of the multitude of formulas actually provides accurate results in all cases. See https://en.wikipedia.org/wiki/External_ballistics for probably more then you want to know :-) I agree, if what I was looking for is a mathemagical way to calculate the point of impact. That's quite difficult to do, considering the accumulated tolerances of all the numerous factors involved (powder load, temperature, humidity, altitude, wind, bullet weight, bullet type, barrel friction, etc). Even an over-simplified tolerance estimate of just the target width over the range is rather small. For example, a 1ft frying pan at 300 yards is: 1ft / 900ft = 0.1% accuracy Throw in all the other factors, and the % accuracy becomes much smaller. Accuracy is usually measured in "minute of angle" usually defined as 1" at 100 yards, 2" at 200, etc. With a rifle 1" or better at 100 yds is real good. However, I'm not looking for the point of impact. I'm looking for the muzzle velocity (given the terminal velocity at some known range). I would guess(tm) that this could be calculated within to a reasonable accuracy, such as +/-10%, without much difficulty. Probably. If you take into consideration air resistance (density, etc), gravity (is not a constant in real life), and probably other factors. cheers, John B. |
#105
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casette shifting, again
On 12/17/2018 9:11 PM, John B. Slocomb wrote:
On Mon, 17 Dec 2018 11:02:41 -0800, Jeff Liebermann wrote: On Mon, 17 Dec 2018 07:28:37 +0700, John B. Slocomb wrote: Acceleration of gravity = g = 32 ft/sec/sec Let's say the trajectory height is 100 ft and the range is 1000 ft. sqrt(height/0.5(g)) = time_of_flight sqrt(100/0.5(32)) = (10/4) = 2.5 sec At 1000ft, the muzzle velocity would be 1000/2.5 = 400ft/sec Or something like that. You are ignoring the effect of air resistance which means that the speed of the projectile decreases with time during it's flight. And, as the decrease in velocity results in an effective decrease in air resistance the velocity decrease is not linier from muzzle to target. For example, taken from a radar generated ballistics table a test projectile fired at an initial velocity of 2,723 ft/s drops to 2,332 at 300 m, 1981 at 600, 1663 at 900, and 1384 at 1200. The decrease in velocity and therefore the decrease in drag is 391 ft/s at 300 M, 351 from 300 to 600, 318 from 600 - 900 and 279 from 900 - 1200. :-) Ok, I yield. Air resistance is significant and can't be ignored. "Projectile Motion with Air Resistance" http://farside.ph.utexas.edu/teaching/336k/Newtonhtml/node29.html We thus conclude that if air resistance is significant then it causes the horizontal range of the projectile to scale linearly, rather than quadratically, with the launch velocity. Methinks I could use this to produce a tolerable balistic approximation, which could be used to calculate the muzzle velocity given the impact velocity at a known distance. However, my math sucks, I'm still doing battle with two kidney stones, and need to do some repairs after last nights rain. Thanks for the corrections. I'm not a ballistition (is that a word?) but from what little I've read none of the multitude of formulas actually provides accurate results in all cases. See https://en.wikipedia.org/wiki/External_ballistics for probably more then you want to know :-) One project I assigned in a sophomore dynamics class was using either a program or a spreadsheet to compute a sphere's ballistic trajectory stepwise. That is, starting with an initial speed and angle plus data on mass, diameter, air properties etc., compute the drag force (assumed constant for a chosen time interval), the X and Y accelerations, the velocity at the end of the time interval, and repeat. We assumed a constant drag coefficient, which was sort of OK for a sphere over a wide range of speeds, but I think wouldn't work for a bullet. Unfortunately we never had time to test that end-of-semester project, although we did test a one dimensional version (dropping balls of various sizes and densities) and got pretty good results. -- - Frank Krygowski |
#106
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casette shifting, again
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#107
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casette shifting, again
On Tue, 18 Dec 2018 14:16:59 +1100, James
wrote: On 18/12/18 1:58 pm, Jeff Liebermann wrote: However, I'm not looking for the point of impact. I'm looking for the muzzle velocity (given the terminal velocity at some known range). I would guess(tm) that this could be calculated within to a reasonable accuracy, such as +/-10%, without much difficulty. I have not read this entire thread, so I might be repeating what has already been suggested. *If* you know the ballistic coefficient of the projectile being used, and most projectiles on the market have this data, then with the help of an online ballistics calculator, and some careful target shooting under favourable conditions, I think you should be able to estimate the muzzle velocity reasonably accurately. Back when I was hand loading somebody published a M.V. chart for several different calibers with different powders and bullets. I was loading for the 22-250, which was a wildcat at the time, using necked down 250-3000 cases and the most accurate load I could work out listed on the chart at just a hair under 3,000 ft/sec. I had sold some to a bloke that had them chronographed and (surprise) they were almost exactly what the chart had said they would be. For a rifle like a .222 remington, for example, I would sight it in at 100 yards, then shoot a group with the cross hairs on the centre of the target at 300 yards, & 500 yards if possible. Once the average (or median perhaps) point of impact at each range is measured, use the on line calculator to match the trajectory by iterating the muzzle velocity until there is a match. http://gundata.org/ballistic-calculator/ Mine are quite mild loads, and I estimate the muzzle velocity is 3100fps, for a 4" drop at 200 yards. Out of curiosity what size 5 shot groups could you get in perfect conditions at 200 yards? I was building 22-250 varmint rifles back in the '60's and I found that as soon as I got much over 3,000 ft/sec (calculated) that accuracy dropped off. Probably due to bullets not being as well made as they are today. cheers, John B. |
#108
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casette shifting, again
On Mon, 17 Dec 2018 22:32:41 -0500, Frank Krygowski
wrote: On 12/17/2018 9:11 PM, John B. Slocomb wrote: On Mon, 17 Dec 2018 11:02:41 -0800, Jeff Liebermann wrote: On Mon, 17 Dec 2018 07:28:37 +0700, John B. Slocomb wrote: Acceleration of gravity = g = 32 ft/sec/sec Let's say the trajectory height is 100 ft and the range is 1000 ft. sqrt(height/0.5(g)) = time_of_flight sqrt(100/0.5(32)) = (10/4) = 2.5 sec At 1000ft, the muzzle velocity would be 1000/2.5 = 400ft/sec Or something like that. You are ignoring the effect of air resistance which means that the speed of the projectile decreases with time during it's flight. And, as the decrease in velocity results in an effective decrease in air resistance the velocity decrease is not linier from muzzle to target. For example, taken from a radar generated ballistics table a test projectile fired at an initial velocity of 2,723 ft/s drops to 2,332 at 300 m, 1981 at 600, 1663 at 900, and 1384 at 1200. The decrease in velocity and therefore the decrease in drag is 391 ft/s at 300 M, 351 from 300 to 600, 318 from 600 - 900 and 279 from 900 - 1200. :-) Ok, I yield. Air resistance is significant and can't be ignored. "Projectile Motion with Air Resistance" http://farside.ph.utexas.edu/teaching/336k/Newtonhtml/node29.html We thus conclude that if air resistance is significant then it causes the horizontal range of the projectile to scale linearly, rather than quadratically, with the launch velocity. Methinks I could use this to produce a tolerable balistic approximation, which could be used to calculate the muzzle velocity given the impact velocity at a known distance. However, my math sucks, I'm still doing battle with two kidney stones, and need to do some repairs after last nights rain. Thanks for the corrections. I'm not a ballistition (is that a word?) but from what little I've read none of the multitude of formulas actually provides accurate results in all cases. See https://en.wikipedia.org/wiki/External_ballistics for probably more then you want to know :-) One project I assigned in a sophomore dynamics class was using either a program or a spreadsheet to compute a sphere's ballistic trajectory stepwise. That is, starting with an initial speed and angle plus data on mass, diameter, air properties etc., compute the drag force (assumed constant for a chosen time interval), the X and Y accelerations, the velocity at the end of the time interval, and repeat. We assumed a constant drag coefficient, which was sort of OK for a sphere over a wide range of speeds, but I think wouldn't work for a bullet. Unfortunately we never had time to test that end-of-semester project, although we did test a one dimensional version (dropping balls of various sizes and densities) and got pretty good results. Somewhere on the Web there is a video of a group that dropped a feather and an equal weight ball off a tower (actually a platform in a tower). First under normal conditions a second trial after creating a vacuum in the tower. You see it happen but emotionally you can't believe it :-) (I don't remember what the tower was built for but quite obviously not solely for the test :-) cheers, John B. |
#109
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casette shifting, again
On 18/12/18 4:01 pm, John B. Slocomb wrote:
On Tue, 18 Dec 2018 14:16:59 +1100, James wrote: On 18/12/18 1:58 pm, Jeff Liebermann wrote: However, I'm not looking for the point of impact. I'm looking for the muzzle velocity (given the terminal velocity at some known range). I would guess(tm) that this could be calculated within to a reasonable accuracy, such as +/-10%, without much difficulty. I have not read this entire thread, so I might be repeating what has already been suggested. *If* you know the ballistic coefficient of the projectile being used, and most projectiles on the market have this data, then with the help of an online ballistics calculator, and some careful target shooting under favourable conditions, I think you should be able to estimate the muzzle velocity reasonably accurately. Back when I was hand loading somebody published a M.V. chart for several different calibers with different powders and bullets. I was loading for the 22-250, which was a wildcat at the time, using necked down 250-3000 cases and the most accurate load I could work out listed on the chart at just a hair under 3,000 ft/sec. I had sold some to a bloke that had them chronographed and (surprise) they were almost exactly what the chart had said they would be. That is an extremely mild load for a 22-250, I would say. What weight bullet? 70 grains or more? For a rifle like a .222 remington, for example, I would sight it in at 100 yards, then shoot a group with the cross hairs on the centre of the target at 300 yards, & 500 yards if possible. Once the average (or median perhaps) point of impact at each range is measured, use the on line calculator to match the trajectory by iterating the muzzle velocity until there is a match. http://gundata.org/ballistic-calculator/ Mine are quite mild loads, and I estimate the muzzle velocity is 3100fps, for a 4" drop at 200 yards. Out of curiosity what size 5 shot groups could you get in perfect conditions at 200 yards? I was building 22-250 varmint rifles back in the '60's and I found that as soon as I got much over 3,000 ft/sec (calculated) that accuracy dropped off. Probably due to bullets not being as well made as they are today. It has been a long time since I shot at paper targets, but I'm certain my groups were smaller than 1" at 100 yards, so better than 2" at 200 yards I guess. Possibly down to 1/2" at 100 yards if I was lucky. I used to shoot rabbits out to 200 yards quite frequently, and out to 100 yards with a .22 long rifle. My .222 Remington has a stainless barrel that was re-bored from .17, and the action is bedded in fibreglass and the barrel floated. A Remington Model 700. -- JS |
#110
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casette shifting, again
On Tue, 18 Dec 2018 16:14:27 +1100, James
wrote: On 18/12/18 4:01 pm, John B. Slocomb wrote: On Tue, 18 Dec 2018 14:16:59 +1100, James wrote: On 18/12/18 1:58 pm, Jeff Liebermann wrote: However, I'm not looking for the point of impact. I'm looking for the muzzle velocity (given the terminal velocity at some known range). I would guess(tm) that this could be calculated within to a reasonable accuracy, such as +/-10%, without much difficulty. I have not read this entire thread, so I might be repeating what has already been suggested. *If* you know the ballistic coefficient of the projectile being used, and most projectiles on the market have this data, then with the help of an online ballistics calculator, and some careful target shooting under favourable conditions, I think you should be able to estimate the muzzle velocity reasonably accurately. Back when I was hand loading somebody published a M.V. chart for several different calibers with different powders and bullets. I was loading for the 22-250, which was a wildcat at the time, using necked down 250-3000 cases and the most accurate load I could work out listed on the chart at just a hair under 3,000 ft/sec. I had sold some to a bloke that had them chronographed and (surprise) they were almost exactly what the chart had said they would be. That is an extremely mild load for a 22-250, I would say. What weight bullet? 70 grains or more? It probably is today as I read some very high velocity numbers for reloaded today which I have read is due to better made bullets today. Or it might be better to more progressive burning powders but I my experience with what was available then is that very slightly less then 3,000 gave the best accuracy. That was, of course, 50 years ago and I'm sure that things are more refined then we had then. I don't member the weight but they would have been speer bullets. standard flat base and not the lightest nor the heaviest. For a rifle like a .222 remington, for example, I would sight it in at 100 yards, then shoot a group with the cross hairs on the centre of the target at 300 yards, & 500 yards if possible. Once the average (or median perhaps) point of impact at each range is measured, use the on line calculator to match the trajectory by iterating the muzzle velocity until there is a match. http://gundata.org/ballistic-calculator/ Mine are quite mild loads, and I estimate the muzzle velocity is 3100fps, for a 4" drop at 200 yards. Out of curiosity what size 5 shot groups could you get in perfect conditions at 200 yards? I was building 22-250 varmint rifles back in the '60's and I found that as soon as I got much over 3,000 ft/sec (calculated) that accuracy dropped off. Probably due to bullets not being as well made as they are today. It has been a long time since I shot at paper targets, but I'm certain my groups were smaller than 1" at 100 yards, so better than 2" at 200 yards I guess. Possibly down to 1/2" at 100 yards if I was lucky. I used to shoot rabbits out to 200 yards quite frequently, and out to 100 yards with a .22 long rifle. A .22 is much more then the toy that a lot of people think it is :-) I had a great uncle that shot white tailed deer with one and told me that he rarely needed more then one shot. My .222 Remington has a stainless barrel that was re-bored from .17, and the action is bedded in fibreglass and the barrel floated. A Remington Model 700. The Remington 700 was probably one of the best actions ever made. But re-bored? Wouldn't it have been cheaper to just rebarrel? I had a .17 cal wildcat once. I built it on a small British made Martini action - a "cadet rifle I believe was the description. Anyway, it would shoot almost a one hole group at 100 yards for three shots and then scatter holes all over the target. I always assumed it was a matter of heat but never could get it to shoot a decent 5 shot group. I finally sold it to a guy that was a varmint shooter and he was quite happy with it as he might shoot 5 shots on a good day. cheers, John B. |
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