How to compute FPE?

I'm getting back into shooting & hunting with air rifles, & will be picking up a Winchester 1400CS tomorrow or Saturday. I've seen answers to this question of 18 to 23.51 FPE with different loads. What is the formula for computing the FPE of a particular rifle's FPS & given pellet in grains? I think this info will be helpful in the future with accuracy at given ranges?
 
At the muzzle it might be about that but most likely your not gonna be shooting at that fps its probly gonna be alittle bit lower plus the lower calibers have a faster energy drop off
​id input you info into chair gun after you find what speed your acutely shooting with the most accurate pellet and check your energy retention at specific yards if you wanna g by the box at 50 yards your fpe will roughly be 14fpe
​also if you are shooting pellets that fast that's about sonic and you could have some wobble I suck with springer's thank god for my pcps
​id also oped for a heavier grain pellet if I'm plan on pesting/hunting with it
 
"unionrdr"I'm getting back into shooting & hunting with air rifles, & will be picking up a Winchester 1400CS tomorrow or Saturday. I've seen answers to this question of 18 to 23.51 FPE with different loads. What is the formula for computing the FPE of a particular rifle's FPS & given pellet in grains? I think this info will be helpful in the future with accuracy at given ranges?
Nielsen specialty ammo site calculates the FPE. Top box put in the fps. Bottom box the weight of the pellet(grain) and hit enter on your keyboard. FPE appears below the bottom box.

https://nielsenspecialtyammo.com/pages/fpe-calculator
 
I hope you get this post before the police come pick you up because they think you're shooting a powderburner rifle...

One other thing: if that gun really WILL shoot 1250 fps with a lead pellet, then it is a 7.0 gr. lead pellet, which you would not want to use for hunting. 1250 fps is still supersonic, and a 7.0 gr. wadcutter will NOT be accurate at supersonic speeds. You will hear a high-pitched CRACK, just like you would if you were shooting a .22LR in a powderburner. You'll need to get pellets that shoot slower than 1100 fps, and probably slower than 1000 fps.

To have any hope of accuracy in that gun, you will want to try pellets on the heavier side. You won't be able to get them at Walmart. If it were my rifle, I would try a pellet variety pack from straightshooters.com, and also try some of the heavier round-nosed pellets:
  • JSB Monster (13.4 gr.)
  • JSB Exact Heavy (10.34 gr.)
  • Crosman Premier Heavy ("CPH") (10.2 gr.)
  • H&N Rabbit Magnum (15.74 gr.)
  • Eun Jin hunting (16.1 gr.)
  • H&N Baracuda (10.65 gr.)
  • Beeman Kodiak (10.65 gr.)

For pellets you can get locally, I can sometimes find Crosman Premier hollow points. Those are about 7.9 gr. I think, and they shoot better than the usual Daisy and Gamo pellets in my lower powered guns.
 
Amazon messed up my order. I order the Lethals in 5.56gr, & these other ones, a round nose I think, at 8.3gr.Going to 15-16 grains would slow it down to something no better than my old Crosman 760 @ 650FPS. Not enough. Got the gun yesterday & assembled it, adjusting the scope to fit right, Pellets won't get here till Tuesday, according to tracking. I'll have to go to a range, if I can find one (I live 3.5M from the shoreline of Lake Erie) & do some tests @ up to 40yds or maybe 50.
 
FWIW

The formula for kinetic energy:

fpe = mass/2 x velocity x velocity

mass is in slugs
velocity is in feet per second

A slug is a standard unit of mass in the imperial system. Since pellet mass is usually given in grains, you must convert it to slugs.

1 slug = 225218 grains

fpe = (grains/225218)/2 x velocity x velocity

fpe = grains/450436 x velocity x velocity

I know that some people still use 450240 in the conversion. And it will give an answer that is usually close enough, but it is still the wrong number to use. Someone used the wrong approach at one time and it stuck.
 
Slugs, Leave it to the English to turn a quaint slang expression into something official. The problem seems to be, that you have to know the current actual velocity​. I don't have that sensor/meter thing to measure that, so no matter what formula I'd be using, it'd be guess-work at best. But, for the sake of discussion, let's plug in that 7gr pellet & Winchester's number for FPS. (7gr/225218)/2X1250X1250= 24.282. Numbers rounded off, but this version makes it 24.282 FPE @ 7gr.
 
--- Quote from: rsterne on June 11, 2014, 01:46:48 PM ---First of all, let me state that using the current International Standard (2008) for the value of "g" (the acceleration due to gravity), which is 32.1740 ft/s^2, the correct divisor in the formula is 7000 x 2 x 32.174 = 450436.... However, the value of "g" varies from about 32.08 at the equator to 32.26 at the poles, due to the increase in circumference of the Earth at the equator due to centrifugal force.... Over the years, this has meant that the definition of one "g" has changed....

Physics texts when I attended University used g = 32.16 ft/sec ^2.... and that agrees exactly with the value of 450240.... It has been revised through more accurate measurement to 32.174.... Therefore, one could, tongue in cheek, say that the value of the divisor depends on your age.... and in fact the commonly used value was likely correct at the time.... The difference in the two is 0.04%, which for an airgun putting out 50 FPE is an error of only 0.02 FPE.... Since we can only measure the velocity within 1 fps (quoting it to 0.1 fps as is often done is ludicrous when the Chronys have a resolution of only about 1%), and using conventional attention to significant figures (three for the velocity means three for the energy).... at best we should never quote FPE to better than 1 decimal point.... The same applies to the pellet weight, measuring to less than 0.1 gr. is useless as the pellets vary more than that.... With a 25 gr. pellet, 0.1 gr is 0.4%, which is 10 times the error in the divisor.... Therefore, the difference between using 450240 and 450436 is about 1/5th of the accuracy we can attain when measuring the velocity to 1 fps and about 1/10th of the accuracy of the bullet weight to 0.1 gr....

While the correct value of the divisor in the equation is 450436, using the current, widely publicized 450240 produces errors an order of magnitude less than other errors in our measurements.... In other words, 450240 isn't correct, but it doesn't matter....
CK