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Muzzle velocity

Muzzle velocity is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Muzzle velocity rather than just read about it. In short: Muzzle velocity is the speed of a projectile (bullet, pellet, slug, ball/shots or shell) at the moment it leaves the end of a gun's barrel (i.e. the muzzle). Firearm muzzle velocities range from approximately 120 m/s (390 ft/s) to 370 m/s (1,200 ft/s) in black powder muskets, to more than 1,200 m/s (3,900 ft/s) in modern rifles with high-velocity cartridges such as the .220 Swift and .204 Ruger, all the way to 1,700…

Muzzle velocity — main illustration
Muzzle velocity — illustration

Key takeaways

  • Muzzle velocity belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Muzzle velocity to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Muzzle velocity from memory before moving on to harder problems.

Reference excerpt

Muzzle velocity is the speed of a projectile (bullet, pellet, slug, ball/shots or shell) at the moment it leaves the end of a gun's barrel (i.e. the muzzle). Firearm muzzle velocities range from approximately 120 m/s (390 ft/s) to 370 m/s (1,200 ft/s) in black powder muskets, to more than 1,200 m/s (3,900 ft/s) in modern rifles with high-velocity cartridges such as the .220 Swift and .204 Ruger, all the way to 1,700 m/s (5,600 ft/s) for tank guns firing kinetic energy penetrator ammunition. To simulate orbital debris impacts on spacecraft, NASA launches projectiles through light-gas guns at speeds up to 8,500 m/s (28,000 ft/s). Several factors, including the type of firearm, the cartridge, and the barrel length, determine the bullet's muzzle velocity.

Projectile velocity For projectiles in unpowered flight, its velocity is highest at leaving the muzzle and drops off steadily because of air resistance. Projectiles traveling less than the speed of sound (about 340 m/s (1,100 ft/s) in dry air at sea level) are subsonic, while those traveling faster are supersonic and thus can travel a substantial distance and even hit a target before a nearby observer hears the sound of the weapon being fired. Projectile speed through air depends on a number of factors such as barometric pressure, humidity, air temperature and wind speed. A 1-gram (15-grain) projectile was accelerated to velocities exceeding 9,000 m/s (30,000 ft/s) at Sandia National Laboratories in 1994. The gun operated in two stages. First, burning gunpowder was used to drive a piston to pressurize hydrogen to 10,000 atm (1.0 GPa). The pressurized gas was then released to a secondary piston, which traveled forward into a shock-absorbing "pillow", transferring the energy from the piston to the projectile on the other side of the pillow.

Conventional guns In conventional guns, muzzle velocity is determined by the quantity of the propellant, its quality (in terms of chemical burn speed and expansion), the mass of the projectile, and the length of the barrel. A slower-burning propellant needs a longer barrel to finish its burn before leaving, but conversely can use a heavier projectile. This is a mathematical tradeoff. A faster-burning propellant may accelerate a lighter projectile to higher speeds if the same amount of propellant is used. Within a gun, the gaseous pressure created as a result of the combustion process is a limiting factor on projectile velocity. Consequently, propellant quality and quantity, projectile mass, and barrel length must all be balanced to achieve safety and to optimize performance. Longer barrels give the propellant force more time to work on propelling the bullet. For this reason longer barrels generally provide higher velocities, everything else being equal. As the bullet moves down the bore, however, the propellant's gas pressure behind it diminishes. Given a long enough barrel, there would eventually be a point at which friction between the bullet and the barrel, and air resistance, would equal the force of the gas pressure behind it, and from that point, the velocity of the bullet would decrease.

Rifles Rifled barrels have spiral twists carved inside them that spin the bullet so that it remains stable in flight. This mechanism is known as rifling. Longer barrels provide more opportunity to rotate the bullet before it leaves the gun. Provided there's enough rifling in the barrel to adequately stabilize a particular round, there is no appreciable increase in precision with increasing barrel length. Longer barrels make it easier to aim if using iron sights, because of the longer sight radius, and with the right propellant load they can increase muzzle velocity, which gives a flatter trajectory and reduces the need to adjust for range. A bullet, while moving through its barrel, is being pushed forward by the gas expanding behind it. This gas is created following the trigger being pulled, causing the firing pin to strike the primer, which in turn ignites the solid propellant packed inside the bullet cartridge, making it combust while situated in the chamber. Once it leaves the barrel, the force of the expanding gas ceases to propel the bullet forth. When a bullet is fired from a handgun with a 2-inch (51 mm) barrel, the bullet only has a 2-inch (51 mm) "runway" to be spun before it leaves the barrel. Likewise, it has only a 2-inch (51 mm) space in which to accelerate before it must fly without any additional force behind it. In some instances, the powder may not have even been fully burned in guns with short barrels. So, the muzzle velocity of a 2-inch (51 mm) barrel is less than that of a 4-inch (100 mm) barrel, which is less than that of a 6-inch (150 mm) barrel. Large naval guns will have high length-to-diameter ratios, ranging between 38:1 to 50:1. This length ratio maximizes the projectile velocity. There is much interest in modernizing naval weaponry by using electrically powered railguns, which shoot projectiles using an electromagnetic pulse. These overcome the limitations noted above. With these railguns, a constant acceleration is provided along the entire length of the device by means of the electromagnetic pulse. This greatly increases the muzzle velocity. Another significant advantage of railguns is not requiring explosive propellant. The result of this is that a ship will not need to transport propellant and that a land-station will not have to maintain an inventory of it either. Explosive propellant, stored in large quantities, is susceptible to explosion. While this can be mitigated with safety precautions, railguns eschew the need for such measures altogether. Even the projectile's internal charges may be eliminated due to the already high velocity. This means the projectile becomes a strictly kinetic weapon.

Categories of velocity The United States Army defines different categories of muzzle velocity for different classes of weapons:

See also Firearm Gun chronograph Internal ballistics Muzzle energy

References

Illustrations

Muzzle velocity: Women of the Auxiliary Territorial Service firing a 25 pounder shell at the Royal Artillery experimental station at Shoeburyness. The shells are fired through a velocity screen, which has a grid of copper wire. When the shell is fired through the wire, the circuit is broken, by which the speed of the shell can be checked.
Women of the Auxiliary Territorial Service firing a 25 pounder shell at the Royal Artillery experimental station at Shoeburyness. The shells are fired through a velocity screen, which has a grid of copper wire. When the shell is fired through the wire, the circuit is broken, by which the speed of the shell can be checked.
Muzzle velocity: The velocity screen being disassembled after use.
The velocity screen being disassembled after use.

Worked examples

Example 1 — a first encounter with Muzzle velocity

Start with the simplest possible case. Write down what Muzzle velocity claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Muzzle velocity before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Muzzle velocity ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Muzzle velocity

In research
Muzzle velocity appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Muzzle velocity in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Muzzle velocity is common in secondary-school and first-year university syllabi. It links to neighbouring topics Ammunition, Ballistics, so understanding it makes those chapters shorter.
In everyday life
Look for Muzzle velocity outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Muzzle velocity in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Muzzle velocity means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Muzzle velocity out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Muzzle velocity in simple terms?

Muzzle velocity is the speed of a projectile (bullet, pellet, slug, ball/shots or shell) at the moment it leaves the end of a gun's barrel (i.e. the muzzle). Firearm muzzle velocities range from approximately 120 m/s (390 ft/s) to 370 m/s (1,200 ft/s) in black powder muskets, to more than 1,200 m/s…

Why does Muzzle velocity matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Muzzle velocity?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Muzzle velocity.

Tags

  • Ammunition
  • Ballistics

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