Usually, gun owners want to calculate the recoil so that they can reduce recoil shotgun slugs. The bullet is fired with a velocity v and the recoil velocity of the gun is V. $ E = {\frac 1 2} m v^2 = \frac{p^2}{2m} $ where: 1. Kinetic energy These figures remain practical maximums for the modern hunter. If you’ve survived that brief math diversion, you might have noticed that the firearm weight is a direct input to both recoil velocity and recoil energy, so it’s a big deal when considering what the shooter will feel. Due to the recoil velocity the shooter experiences a backward jerk. Reducing Recoil. Disadvantages Bulk and mass of the muzzle brake. These are good things to remember when comparing rifle cartridges. Case in point, a 45 ACP’s 230 grain bullet has an approximate muzzle velocity of 830 fps. It can be measured or computed empirically and has been for this recoil table. Increase the gun weight by, say, 25% and the recoil goes down by 25%. All rights reserved. $\begingroup$ @Dargscisyhp Momentum, yes. In the shooting sports we call that reaction recoil or "kick." The formula for the recoil of a gun is: VG = (VB • Bt)/Gn Law of Conservation of Momentum Newton's Third Law states that every applied force has an equal and opposite reaction. Just assume, VG= 14.86 fps. Let’s say you’re a 12-gauge shooter toting a typical sporting clays or waterfowl type shotgun weighing in at close to eight pounds. Recoil (often called knockback, kickback or simply kick) is the rearward thrust generated when a gun is being discharged. Recoil energy determines how hard the blow to the hand feels and recoil velocity … These can be measured or computed empirically and have been for this recoil table. RW= Rifle weight. In the table below rifle weight is given in pounds, free recoil energy is given in foot pounds, and free recoil velocity is given in feet-per-second. The bullet pushes back the gun with the same velocity. Velocity (sharpness) is how fast and hard the recoil feels. For every action there is an equal and opposite reaction; that is one of the physical laws of our universe. It is worth remembering that the majority of authorities agree that recoil of over twenty foot pounds will cause most shooters to develop a serous flinch, which is ruinous to bullet placement (the prime component of killing power). However, perceived recoil, what the shooter feels, is a highly subjective matter. For good deals on cheap handgun ammo go to. But that's not the only important thing by far. • A 2001 study by Schmidt of ARL in comparing railguns and propellant guns estimated recoil elimination near Mach 7 (2,400 m/s) [9]. One of the most important of these is the fit and shape of the rifle stock. This should tell you something.) "The recoil velocity of the gun is "v_r=-2.67" "m/s "given :" m_g: " mass of gun ,"m_g=1500" "kg v_g :" velocity of gun before the shell is fired ,"v_g=0 m_s: " mass of shell , "m_s=10" "kg v_s: "velocity of shell ,"v_s=400" "m/s v_r: "the recoil velocity of the gun , "v_r=? … "you should calculate the total … 9.8k SHARES. You typically see a cartridge’s muzzle velocity expressed in units of feet per second (fps). What is the formula of recoil velocity of a gun????? The law of conservation of momentum, derived from Newton's Laws of Motion, provides a simple equation for calculating recoil speed. From Newton's second law, the energy of a moving body due to its motion can be stated mathematically from the translational kinetic energyas: 1. of free recoil energy was the maximum allowable for a military service rifle. A good recoil pad can help soften the blow to the shooter's shoulder. Let us suppose the mass of the gun and bullet are m and M respectively. After you input the necessary data such as the bullet weight, bullet velocity, powder charge weight, and the firearm weight it will output the recoil impulse, recoil velocity, and the recoil energy of the firearm. (The standard British .303 Lee-Enfield infantry rifle was below that figure, as are most service rifles to this day. The higher the recoil velocity, the greater the discomfort. Recoil velocity of gun is much smaller than the velocity of bullet. If you’re shooting a 1⅛-ounce lead load with an instrumental velocity of 1145 feet per second, that load in your eight-pound gun is generating about 19.86 foot/pounds of free recoil; let’s call it 20 ft./lbs. 1 we can write for the velocity of the gun/shooter: V = mv/M. The backward movement of the gun is called the recoil of the gun. Copyright 2002, 2016 by Chuck Hawks. The following recoil figures are taken from various sources including online recoil calculators, the Remington Shoot! Recoil velocity is the backward velocity experienced by a shooter when one shoots a bullet. The recoil velocity of guns or cannons can be calculated in a straight forward manner from the conservation of momentum principle. A good example is 35 Whelen with 225 gr bullets vs a 300 WM with 180 gr bullets. Recoil velocity is a product of gun weight, projectile weight, and muzzle velocity, and it’s measured in feet per second. For every action there is an equal and opposite reaction; that is one of the physical laws of our universe. Momentum short form: Recoil energy = 0.5 x {[ (bullet mass x bullet velocity) + (powder charge mass x powder charge velocity) / 1000] 2} / Gun mass. 9.8k VIEWS. Copyright 1999, 2018 by Chuck Hawks. As I said, it is simple arithmetic and the formula for recoil energy is simply E=1/2 MV Squared, with “M” being mass of the gun and “V” being the recoil velocity. The recoil velocity of a gun is a simple application of the conservation of momentum where the moment of the bullet going away is equal to the momentum of the gun recoil. These sorts of things cannot be accounted for in a recoil table. The recoil velocity is the result of conservation of linear momentum of the system. Example, same as above: This means that the momentum of a handgun's reaction will exactly equal the momentum of the bullet and powder gasses ejected from the barrel. This shows that despite the high velocity of the bullet, the small bullet-mass to shooter-mass ratio results in a low recoil velocity (V) although the force and momentum are equal. • Required an excessively high propellant to projectile mass ratio of five at that muzzle velocity to eliminate recoil in that study. You need to know the load weight in ounces, the muzzle velocity. In addition, the effects of recoil are cumulative. 2 See answers Kuldeepnehra Kuldeepnehra After firing the bullet, the bullet moves forward with a large momentum and the gun moves backward with equal momentum. $ E\, $is the translational kinetic energy 2. A recoil velocity of over 10 fps is about the point at which shooting starts to get uncomfortable. Note:For an expanded version of this table showing more calibers and many more loads, including British, European, wildcat, obsolescent American and proprietary calibers, see the Expanded Rifle Recoil Table. For this reason the gun must have a recoil velocity after the bullet is fired (i.e. program or calculated from the formula given in the Lyman Reloading Handbook, 43rd Edition. Fast, sharp recoil is startling and unpleasant for most people. Gas-operated semi-automatic actions reduce apparent recoil by spreading it over a longer period of time. But most shooters find the 35 Whelen more comfortable since the recoil is spread over a longer period of time. In the shooting sports we call that reaction recoil or "kick." In addition to gun weight, it is influenced by many factors. So the figures in any recoil table should be taken as approximate. Just because it can be done does not mean it makes sense, despite what you might read in advertising copy. It can also result in the muzzle dipping after each shot. The 1929 edition of the same textbook stated, in addition, that recoil velocity should … The recoil energy and recoil velocity figures are taken from various sources including the recoil nomograph in the Handloader's Digest 8th Edition, various online recoil calculators, the Remington Shoot! program or calculated from the formula given in the Lyman Reloading Handbook, 43rd Edition. Choose a rifle weight appropriate for the loads you intend to shoot. R= Recoil. Advantages Simple. Why? One of the most important of these, in addition to gun weight, is the fit and shape of the grip and the shooter's personal hold. Never-the-less, the table below should give a reasonably accurate comparison of the recoil of most popular rifle cartridges. It is influenced by many factors. (i.e. Increase the gun weight by, say, 25% and the recoil goes down by 25%. Let m and M be the masses of bullet and gun,respectively. If the weight of the weapon is reduced to 1 lb, then the recoil velocity is 20.0 ft/s and the recoil energy is 6.3 ft/lb. Note: All bullets in the table below are jacketed unless otherwise noted. A plane flying horizontally at a height of 1 5 0 0 m with a velocity of 2 0 0 m s − 2 passes directly overhead an antiaircraft gun. Related Video. In technical terms, the recoil is a result of conservation of momentum, as according to Newton's third law the force required to accelerate something will evoke an equal but opposite reactional force, which means the forward momentum gained by the … Let me put another demo to make you clearer once again. Then, Recoil= (10*14.86)/ (2*32.174) So, Recoil= 34.32 ft pounds. 1 1/8th ounce at 1145 fps) and the weight of your gun … Fifteen foot pounds is probably about the maximum recoil energy most shooters feel reasonably comfortable with, particularly at the shooting range, where most serious marksmanship practice occurs. The development of the 5.7x28mm is a tale of the cart coming before the horse. Join the 2 Crores+ Student community now! When a bullet is fired from a gun,the gun moves back,opposite to the direction of motion of the bullet.This backward motion of the gun is called recoil and the velocity with it moves back is called recoil velocity.Before firing the bullet,both the bullet and the gun are at rest.Hence,the total momentum is zero.After firing the bullet,the bullet moves forward with a large momentum and the gun … the gun 'jumps' backwards and a … Choose a gun weight appropriate for the loads you intend to shoot. Also, please understand that there are dozens of possible loads for any given bullet weight in a given caliber that will produce the same velocity, but a different amount of recoil. Recoil is used to load bullets in machine guns. Also, please understand that there are dozens of loads for any given bullet weight in any cartridge that will produce the same velocity, but a different amount of recoil. Recoil Energy Calculator. In the real world, firearms chambered for smaller cartridges are traditionally lighter than firearms chambered for more powerful cartridges. Velocity. $ … For example, the kinetic energy is proportional to velocity squared - so the same amount of momentum applied to a heavier object will result in less kinetic energy than with a lighter object. View All. 4.9k LIKES. In simple terms, the recoil velocity is the factor which makes a gun unpleasant to shoot. Violate this principle by, for example, chambering a lightweight, short action rifle for a powerful Magnum cartridge like the .300 WSM and the result will be a dramatic increase in kick. Since mass of the gun is very large as compared to the mass of the bullet,the velocity of the recoil is very small as compared to the velocity of the bullet Example -1 Calculate the recoil velocity of gun whose mass is 5 kg and it shoot the bullet of mass .015 kg with velocity 500 m/s This program calculates the recoil energy when you shoot a shotgun. These sorts of things cannot be accounted for in a recoil table. All recoil values have been rounded off to one decimal place. A dramatic increase in kick results (and accuracy suffers equally dramatically) when powerful cartridges and loads intended for full size service pistols are chambered in lightweight, subcompact pistols. If it's too much, it becomes hard to practice or train with the pistol. The actual recoil is the same. VG= Velocity of the gun. Note: For an expanded version of this table with more entries, see the Expanded Handgun Recoil Table. View Solution in App. All rights reserved. In the real world, firearms chambered for less powerful cartridges are typically built lighter than firearms chambered for more powerful cartridges. Therefore, the figures in any recoil table should be taken as approximate. But since the gun's mass is more, it attains a lesse velocity. Then there is recoil velocity. To keep reading this solution for FREE, Download our App. Do not forget that gun weight is a crucial factor in the recoil equation, inversely proportional to recoil. From Eq. Then the angle with the horizontal at which the gun should be fired for the shell with a muzzle velocity of 4 0 0 m s − 1 to hit the plane is: The gun must therefore have the same magnitude of momentum but in the opposite direction so that they cancel each other out leaving the total momentum still equal to zero. Like muzzle rise, that adds time between accurate shots. However, perceived recoil, what the shooter feels, is a highly subjective matter. The longer you shoot, and the harder the rifle kicks, the more likely you are to flinch. Do not forget that rifle weight is a crucial factor in the recoil equation, inversely proportional to recoil. It's based on the mass and speed of the ejected body and the mass of the recoiling body. My subjective impression is that, with a well designed stock, recoil velocity above about 10 fps begins to feel like a sharp rap on the shoulder rather than an abrupt push. This is the rate at which the bullet is moving the instant it exits the barrel of a handgun. Never-the-less, the table below should give a reasonably accurate comparison of the recoil of most popular handgun cartridges and loads when fired in pistols of typical weight. Ans. Use this calculator to calculate the recoil on you rifles, handgun, and other firearms. You can see this whenever someone shoots a gun; they require to ground themselves to hedge alongside the recoil. But more importantly, recoil is a shock of sorts - you're balancing against a sudden force that last a … Above this level recoil becomes increasingly intrusive. Recoil energy determines how hard the blow to the hand feels and recoil velocity determines how abrupt the blow feels. Recoil of gun is due to Newtoon's third law. While recoil energy determines how hard the blow to the shoulder feels, recoil velocity determines how abrupt the blow to the shoulder feels. Guns with similar recoil, but shooting heavier bullets will recoil slower. Disturbed by images coming from Afghanistan of Soviet military forces wearing body armor and advanced helmets, the military alliance wanted a cartridge that offered a little more oomph than the standard 9×19 Parabellum, then common in Western European sub guns such a… Then, plug the now known Gun velocity of 2.61 meters per second into the translational kinetic energy formula: 15.43 J = 0.5 x 4.54 x 2.61 2. This means that the momentum of a rifle's reaction will exactly equal the momentum of the bullet and powder gasses ejected from the barrel. "You can solve using the principle of conservation of momentum." A consideration of energy leads to a different equation. Gun Weight Matters. In the early 1980s, NATO put out a call to its ammo friends. The same exact pistol firing a 275 gr bullet with 40 gr of powder will give us 1804 fps of muzzle velocity with a recoil energy of "just" 28 ft-lbs. Fig: Backward Velocity of the gun and Forward Velocity of gun … In 1909, the British Textbook of Small Arms stated that 15 ft. lbs. Mass of gun, = 4 kg, Initial velocity of the gun,, Mass of bullet, = 50 gm = 0.05 kg, Initial velocity of the bullet,, Final velocity of the gun (recoil velocity of gun),, Final velocity of bullet, = –0.4375≈– 0.44 The 1929 edition of the same textbook stated, in addition, that recoil velocity should not exceed 15 fps; above that velocity a gun-headache was very likely to occur.
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