For this reason the gun must have a recoil velocity after the bullet is fired (i.e. Recoil energy is 1/2 Mg*Vg^2. Find the recoil velocity (in m/s) of the gun. chiliflimore chiliflimore 24.03.2021 Physics Secondary School answered expert verified of recoil. Velocity. close. It was created as a more comfortable competitive answer to the high recoil of the .308 Win and 30-06 without a sacrifice of power or accuracy. Adding a rubber pad can change the length of pull on your shotgun or rifle, so stock shortening may be required. Yes -. is recoiling at. asked Jun 8, 2019 in Physics by Divinan (66.0k points) class-9; forces-and-laws-of-motion; 0 votes. Gun "experts" inform me that that is also the case with rifles and other such guns, though lack of a solid recoil support can affect aiming accuracy. Interactive Solution 12.29 presents a model for solving problems of this type. 0. A bullet of mass 10gm is fired with a velocity of 40 m/s from a gun of mass 8 kg. A gun of mass 3 kg fires a bullet of mass 30 g. The bullet takes 0.003s to move through the barrel of the gun and acquires a velocity of 100 m/s. Staff Duties. This has made it an optimal choice for long-distance hunting and m 1 and v 1 are the mass and velocity of the bullet. Calculate the initial velocity of the steel ball v 0 = m p + m b m b v R. Express this quantity as a value plus or minus its uncertainty, thus: v0 v0. Hope that helps Calculate the horizontal recoil velocity of A railway gun whose mass is 70 000kg fires a 500kg artillery shell at an angle of 45 degrees and with a muzzle velocity of 200m/sec. 5. Rate of fire: r = 6000 round per minute. Muzzle energy is also the same energy as kinetic energy (Ek), recoil energy, down range energy or impact energy. By law of conservative of momentum. A cannon is rigidly attached to a carriage which can move horizontally without friction. Propellant is not quite half the story. 1 we can write for the velocity of the gun/shooter: V = mv/M. Calculate :(i) the velocity with which the gun recoils. King of Battle: The Cannon David C. Arney, Charles Clark Introduction In this section, we discuss some of the basic considerations in firing artillery rounds: the motion of the projectile and the recoil effects on the weapon system. Varies according to muzzle velocity. VProj = Muzzle velocity of projectile in m/sec. The initial velocity of the gun mass of the gun + Initial velocity of bullet mass of bullet = Final velocity of the gun mass of the gun + Final velocity of the bullet mass of the bullet. With this data you can estimate the felt recoil of a specific firearm and cartridge. The basketball players recoil velocity is 0.048 m/s opposite to the direction at which the ball was shot. Once the velocity of the rifle is calculated, we can calculate the rifle's recoil energy, \(E_{recoil}\) , which is just the kinetic energy of the rifle: $$E_{recoil} = {\frac 12}M_{rifle}V_{rifle}^2$$ This seems pretty rough. The recoil at muzzle exit is simpler to estimate correctly. The recoil momentum of a cannon that kicks is (more than) (less than) (the same as) the momentum of the cannonball it res. A simple formula for determining recoil. One thing is for certain, nobody gets a kick out of excessive recoil. This energy is the figure most often given in books and magazines. The .500 Cyrus is a serious big-bore cartridge with serious kick. Total momentum after firing equals to the total momentum before firing. Calculate the recoil velocity of the gun. As the bullet is propelled through the barrel, it gains momentum. a. cannon has far more mass than the cannonball. Let us Alternatively, a thin strap-on shoulder pad will increase comfort without any changes to your firearm. I will assume a 6000 rounds per minute for the maximum rate of fire, which will generate the maximum recoil. Heres the recoil formula Hodgdon uses: Recoil Energy in foot pounds = (Bw Mv + 4700 Pw) / 64.348 Gw where Gw = weight of gun in pounds. Horizontal range Which means Using conservation of momentum, we can find the guns recoil velocity as = -40/100 m/s = -0.4 m/s, which is the inverse of the [] Open in App. If you don't mind some math, this formula can help you get a numerical representation of recoil for different rounds in different guns: Weight of gun * recoil velocity = bullet weight * bullet velocity. Remember that the vertical velocity is zero when the projectile is at its highest point. Calculate the velocity of the cannon immediately after firing. Physics. Medium game rifles have between 4 and 10 ft/lbs. In this case the projectile velocity without recoil restraint isn't very significantly different from that with restraint. A gun fires a bullet with a speed of `400m//s`. Suppose that, after the cannonball strikes the far wall of the carriage, both the cannonball and the carriage move with common velocity . 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. This works because momentum is mass x velocity and the relatively low mass gas is moving at a relatively high velocity compared to the projectile. Because momentum depends on mass and velocity, label all mass and velocity information. Let the mass of the gun and pellet be 2 kg and 10 g respectively, the muzzle velocity being 300 m/s, calculate R.V. The velocity with which the cannon is pushed backwards after firing is called the recoil velocity.. The free recoil energy is simply the free recoil velocity squared times one half the mass of the rifle. When a ball is fired with a velocity its momentum remains conserved.The recoil velocity of the cannon is 5m/s.. What is recoil velocity? Calculate the recoil velocity of the gun. I used m1v1 = m2v2 to solve. Due to recoil, shooters often have to take additional measures to avoid getting hurt by the sudden knock back of the guns. Note that felt recoil is not the same as the recoil impulse we quantify here. The final velocity of the gun = Recoil velocity of the gun. It's really that simple! therefore V = - mv/M. What is recoil velocity of the gun if m 2 and v 2 are the mass and velocity of the gun. the mass of the nucleus). 4 m / s. D. None of these. Thus, recoil velocity of gun is equal to 2.5 m s 1. b) if a700N man holds the rifle firmly against his shoulder, find the recoil speed of man and rifle. (b) What is the kinetic energy of the cannon? (Assume the positive direction is to. Projectile velocity: vMuzzle = 3400 feet per second (fps) Projectile mass: mGAU8 = 395 grams. Let the recoil speed of the gun be . Small game rifles have between 0.2 and 4 ft/lbs. Let m and M be the masses of bullet and gun,respectively. When a bullet is fired from the gun, due to reaction force , the gun recoils in the direction opposite to the motion of bullet. For 9mm, the most popular bullet weights are 115 grain, 124 grain, and 147 grain. The recoil momentum of a cannon that kicks is (more than) (less than) (the same as) the momentum of the cannonball it res. The last example is comparable to the Cenco ballistic pendulum apparatus. The minus sign indicates that the recoil velocity of the carriage is in the opposite direction to the direction of motion of the cannonball. Now we will calculate the recoil velocity of a gun. This information lets you determine the recoil velocity of the cannon \({v_ C}\). C. Recoil is proportional to momentum, which is proportional to mass times velocity. A thin spherical shell of silver has an inner radius of 5.64 x 10-2 m when the temperature is 24.1 C. Kinetic energy asked Jun 8, 2019 in Physics by Divinan (66.0k points) class-9; forces-and-laws-of-motion; 0 votes. Such as the weight of the firearm vs the weight and velocity of its fired projectile. 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. Momentum of bullet = 100kgm/s = momentum of gun = 20*v v = recoil velocity = 100/20 = 5m/s Therefore, the recoil velocity of the gun is 5m/s. ii) the force exerted on gunman due to recoil of the gun. This energy is the figure most often given in books and magazines. The velocity with which the gun or the cannon recoils backward is known as recoil velocity. study resourcesexpand_more. of recoil. 1 answer. 4 m / s. B. Calculate:
(i) the velocity with which the gun recoils
(ii) the force exerted on gunman due to recoil of the gun. Hard-kicking guns have been a source of pain and amusement for as long as hard-kicking guns have been around. Question 5 Recoil (often called knockback, kickback or simply kick) is the rearward thrust generated when a gun is being discharged. Any time you understand the motion of a system for which F extermal t0, you begin with the Conservation of Momentum equation. Read More. 4 m / s and correct option is C. Was this answer helpful? In other words, the recoil velocity of the gun equals the bullet velocity times the bullet weight divided by the weight of the gun. Find the recoil velocity of a gun having mass equal to 5 kg, if a bullet of 25gm acquires the velocity of 500m/s after firing from the gun. 2 m / s. C. 0. Ignoring friction between the child and the ice, find the recoil velocity of the child. Recoil Energy in Foot-pounds: [ (Ew x V) + (4700 x Pw)] squared ; divided by (64.348 x Gw) Ew is weight of "ejecta" - shot, wad, and buffer) V = velocity in fps PW = powder weight in POUNDS GW = Gun weight in pounds If you have weights in grains, divide by 7,000 to convert to pounds. Mv = muzzle velocity in feet per second. s-1 due west. The cannon fires a 88 kg projectile at a velocity of 161 m/s directed 40.2 deg. Recoil Velocity When Firing a Gun Recoil velocity on a raft Recoil Velocity of Polonium Nucleus after Alpha Decay Calculating Recoil Velocity Speed and Momentum Calculations why the cannon not recoil at the same velocity as the ball Analysis of a bullet undergoing constant acceleration Mechanics: Force, Collision and Conservation of Momentum This is the expression for recoil velocity of the gun.The negative sign indicates that the gun moves in a direction to that of the bullet. The two cancel out, and there is no recoil. (a) Calculate its recoil velocity when it fires a 15.0-kg shell at 480 m/s at an angle of above the horizontal. Some take it as a sign of manhood others of unnecessary punishment. What is the expression A rifle of mass M is initially at rest but free to recoil It fires a bullet of from PHY 302K at University o Energy is proportional to mass times velocity squared. 0= mv+ MV. The picture below shows how a long rifle should be held to avoid getting hurt due to recoil. the gun 'jumps' backwards and a 'kick' is felt). Staff Duties. A rifle with a mass of 1.2 kg fires a bullet with a mass of 6.0 (0.006kg). Accurate #7 required 74% more weight than N320 and produced 20% more recoil for the same velocity Compute the recoil velocity of the gun. A gun of mass 1000kg fires a shell of mass 2 kg with a velocity of 200 m/s Calculate velocity of recoll of the gun. 4. So the projectile will go 1343.7656 meters if there was no drag or friction present. tutor. The negative sign indicates that the gun moves in a direction to that of the bullet. The negative sign of velocity shows that the gun moves in the opposite direction of the bullet. Momentum short form: Recoil energy = {[ (bullet mass x bullet velocity) + (powder charge mass x powder charge velocity) / 7000] 2} / Gun mass x 2 x dimensional constant. If v and V are the velocities of the bullet and gun, respectively after the firing then:-. 1 answer. applied to give the bullet it's velocity leaving the muzzle is directly proportional and opposite to the force propelling the rifle backward from the firing direction. The last example is comparable to the Cenco ballistic pendulum apparatus. 3. Greater the bulk of the gun, less the recoil force being transmitted into the shooter. The model development for these two considerations is done through a historical context. The picture below shows how a long rifle should be held to avoid getting hurt due to recoil. A gun of mass 3 kg fires a bullet of mass 30 g. The bullet takes 0.003s to move through the barrel of the gun and acquires a velocity of 100 m/s. The balls horizontal speed is = u m/s. To account for this, w use a factor, /(f/), and apply it to the projectile's velocity to get the propellant gas velocity. PHYSICS. Due to recoil, shooters often have to take additional measures to avoid getting hurt by the sudden knock back of the guns. Finding the Recoil Energy. The vertical component is equal to zero. Muzzle energy is the measured energy in translational kinetic energy (Et) imparted to a projectile or bullet at the muzzle. The 7mm Remington Mag generates significant recoil of Here, the negative(- ve) sign shows that gun moves in the opposite direction of bullet. A tank gun is the main armament of a tank.Modern tank guns are high-velocity, large-caliber artilleries capable of firing kinetic energy penetrators, high-explosive anti-tank, and cannon-launched guided projectiles. Similar questions. Free Recoil Energy is simply kinetic energy and so can be expressed mathematically as - FRE = MV2. The GAU-8 can be programmed for different rates of fire. Known coefficients according to the Rheinmetall Handbook of Weaponry are: 400 m/sec = 3 800 m/sec = 1.5 1,400 m/sec = 1.0 0. Here is how to calculate recoil using the following givens. cannon has far more mass than the cannonball. The projectiles mass and shape has a lot to say about energy, recoil, and range: B. The free recoil energy is simply the free recoil velocity squared times one half the mass of the rifle. To find out the exact result, you have to go through two steps-Calculate the velocity of the gun and; Then calculate the Recoil Energy; Velocity of the Shotgun. To calculate the velocity of the shotgun, you have to put the initial measurements on the formula right below. Defining the 6.5 Creedmoor Cartridge. A cannon recoils while firing a cannonball. Therefore, following is the recoil velocity of the gun: v 2 = ( f r a c m 1 m 2) v 1. x=0+85.4617 * 15.7236 = 1343.7656 meters. A bullet having a mass of 0.015 kg is fired off a 2 kg gun. Gun "experts" inform me that that is also the case with rifles and other such guns, though lack of a solid recoil support can affect aiming accuracy. Lets talk recoil. Where: M = Mass (or the weight of the firearm, including all attachments such as scopes and suppressors, divided by 32.17) and . = Coeffi cient. What is recoil velocity of the gun if This is the velocity of recoil of the weapon. The momentum of the gun and that of the bullet are equal and opposite. Considering the balls vertical downward motion We obtain by substituting the values. November 19, 2020. Pw = powder weight in pounds. Vg= Velosity of gun. This conservation of momentum is why gun recoil occurs in the opposite direction of bullet projection -- the mass times velocity of the projectile in the positive direction equals the mass times velocity of the gun in the negative direction. 1,.33 mls 0376 ns 0,666 ns 0,942 nVs 88 ns A 20 gm bullet is fired into a stationary 5 kg block of wood at 150 m/s. (ii) the force exerted on gunman due to recoil of the gun Let us assume a gun of 20 kg shoots a bullet of 1 kg in a velocity of 100m/s. Bullet Weight x Muzzle Velocity = Power Factor. Hence u1 and u2 =0. The pressure affecting muzzle velocity is a factor of the pressure that developes between the fired cartridge (captured in the chamber) and the projectile leaving the cartridge and passing through the bore and out of the muzzle. A 3000-kg cannon is mounted so that it can recoil only in the horizontal direction. Let m and M be the masses of the bullet and gun respectively.If v and V are the velocities of the bullet and gun respectively after the firing,then. Medium. 1. Now remove the pendulum and fire the ball horizontally. V = -mv/M. 6. Calculate 4.1 The magnitude and direction of the momentum of the missile when it leaves the cannon 4.2 The velocity of the recoil of the cannon. Consider the following example, to understand the effect of muzzle velocity. We will assume the bullet travels in the positive direction. Such as the weight of the firearm vs the weight and velocity of its fired projectile. The 7mm-08 Remingtons recoil produces 14.88 ft-lbs of energy at a velocity of 10.68 fps. > A particle of mass m, initially at rest . A cannon ball of mass 4.0 kg is fired from a stationary 96 kg cannon at 120 m/s. 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 projectile and Table 1 shows the calculated charge weight and recoil energy for a velocity of 1275 fps. Calculate the recoil velocity v R = 2gh cm being sure to use three significant figures for g; g=981 cm/s2. The mass of the cannon is1500 kg. Mp= Mass of powder charge. 0=76.95-9.8*t solve for t, t=7.8520 seconds. Every system that projects experiences a recoil velocity if it is a gun, arrow, bow, crossbow or rocket launcher. A. learn. A gun of mass 3 kg fires a bullet of mass 30 g.The bullet takes 0.003 s to move through the barrel of the gun and acquires a velocity of 100 m/s.Calculate: i) the velocity with which the gun recoils. A gun fires a bullet with a speed of `400m//s`. Also, you have to convert ounces to pounds too. Computing Charge Velocity (Experimental) VCharge = VProj / Where VCharge = Average velocity of propellant gases in m/sec. The velocity of the bullet when it leaves the barrel of the cannon is 800 m / s. calculate the recoil velocity of the cannon. Using the diagram above, we can write the equation for conservation of linear momentum for the launcher: Where mc = Mass of cannon = weight of launcher divided by earth's gravity acceleration mp = Mass of projectile =weight of projectile divided by earth's gravity acceleration vc 2 = Velocity of cannon/launcher Find the recoil speed of the gun, assuming the gun was stationary before firing the bullet. A 37.0 kg child standing on a frozen pond throws a 0.500 kg stone to the east with a speed of 6.00 m/s. Because of its mild recoil, it is often recommended as a good hunting cartridge for youth and small-framed shooters. Find the recoil velocity of the cannon across the levcl ground. The total momentum before is zero so by the law of conservation of Start your trial now! 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. VG=WTB*VB+WTP*VPWTR*7000. So the projectile was in the air for 15.7236 seconds. Immediately after firing, the bullet is travelling at a speed of 300 m s-1. This energy is dissipated as heat transfer in shock absorbers that stop its recoil. P r e c o i l = E c, which can be written in terms of the recoil velocity according to, v r e c o i l = E ( m e + m p) c. In the last expression, m p is the mass of a proton (i.e. arrow_forward. The velocity with which it recoils is called as Recoil Velocity. Then, plug the now known Gun velocity of 8.557 feet per second into the translational kinetic energy formula: 11.38 ft-lb f = 10 x 8.557 2 / 2 x 32.163. A. Then we get a recoil velocity of 2.77 m/s and the average weight W registered by the scale would be 1.17 10 6 N, which is 17 times greater than the actual weight of the canon. of actual recoil. Calculate:
(i) the velocity with which the gun recoils
(ii) the force exerted on gunman due to recoil of the gun. A) 2 B) 0.1 C) 4 D) 0.05. arrow_forward. Bw = weight of the ejecta (shot and wad) in pounds. Solution for Find the recoil velocity of a gun having mass equal to 5 kg, if a bullet of 25gm acquires the velocity of 500m/s after firing from the gun. No. Find recoil velocity of a gun having mass equal to 10 kg ,if a bullet of 50 gm acquires the velocity of 600 m/ Get the answers you need, now! Let's start with some numbers. Report ; Posted by Shubham Khanna 9 months, 2 weeks ago. Hence, the recoil speed of the carriage is . The expression would get uglier if you used P = m v 1 v 2 c 2 instead of P = m v. The momentum remains conserved .So, according to the momentum conservation principle, initial momentum is equal to the final Gun Recoil Momentum = lbs*fps = BulletMomentum + GasMomentum + JetEffectMomentum, also equal to GunWeight * GunVelocity Gun Recoil Impulse = lbs-sec = GunMomentum / g [Note: g = 32.17405] Gun Recoil Velocity = fps = GunMomentum / GunWeight Loss of Muzzle Velocity to Gun Weight = fps % = BulletWeight / (BulletWeight + GunWeight) The higher the recoil velocity, the greater the discomfort. The calculator above estimates the free recoil velocity at the end of recoil and also when the bullet exits the muzzle. 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. 0. Most gunpowders required different charge weights to achieve the same velocity, and higher charge weights produced more recoil. above the horizontal. Therefore V=-mv/M. a) Find the recoil speed of the rifle. Most hunting rifles have between 7 and 27 ft/lbs. A gun of mass 3 kg fires a bullet of mass 30 g. The bullet takes 0.003 s to move through the barrel of the gun and acquires a velocity of 100 m/s. If M is the mass of the gun m that of the bullet and V the velocity of the gun v that of the bullet. The disadvantage is this limits the amount of pressure which can be built up in the gun, which limits the velocity of the projectile. We have to find the recoil velocity of the gun. The bullet moves with a muzzle velocity of 600 m/s after the rifle is fired. write. Mg= Mass of gun. 0 = mv + MV. Vp= Velosity of powder charge or gasses. The velocity with which the gun or the cannon recoils backward is known as recoil velocity. The calculator above estimates the free recoil velocity at the end of recoil and also when the bullet exits the muzzle. Here, the negative(- ve) sign shows that gun moves in the opposite direction of bullet. Mb= Mass of bullet. We know that recoil velocity is the velocity of a body after the ejection of the object from the body. As a plus, strap-on shoulder pads work with every single gun you own without modification. If, for example, we have a gun weighing 2 lb firing a 158 gr bullet at 860 ft/s and as there are 7000 gr in a pound, we have the following formula: 860 158. Well, maybe not nuts. Example, same as above: arrow_forward. A cannon of mass 300 kg fires 13.6-kg shell with a velocity of 180 m/s at an angle of 45" above the horizontal. The 6.5 CM is a modified .30 caliber round designed to provide incredible energy potential over long-range distances. The recoil of the gun is actually a result of conservation of linear momentum. In this case the projectile velocity without recoil restraint isn't very significantly different from that with restraint. Q. Vb= Velosity of bullett. Momentum of the gun is equal to the momentum of the bullet and the. Popular large game hunting rifles have a range of recoil between 11 and 26 ft/lbs. From Eq. If the mass of the cannon and carriage is 4371.25 kg, find the recoil velocity of the cannon. Derivation For recoil velocity of Gun: Initial velocity of gun and bullet are at rest.
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