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Last lecture covered the end of internal ballistics, focusing on processes inside a firearm.
Understanding these processes can lead to various investigation avenues.
The pressure-time curve was discussed, explaining pressure changes within the chamber during the three phases of internal ballistics: lock time, ignition time, and barrel time.
To illustrate the significant forces and accelerations within a firearm:
Consider a 5.56 mm bullet with a mass of 3.6 grams.
The bullet is propelled from rest to 1,200 meters per second (high velocity) along a 0.5-meter barrel.
Ignition of propellants produces gas, creating pressure.
This pressure applies force to the projectile, causing acceleration down the barrel.
The bullet also spins for gyroscopic stability.
Using the SUVAT equation to calculate acceleration:
v^2 = u^2 + 2as can be rearranged to find acceleration:
a = \frac{v^2 - u^2}{2s}
Where:
v = final velocity (1,200 m/s)
u = initial velocity (0 m/s)
a = acceleration
s = distance (0.5 m)
Plugging in the values:
a = \frac{1200^2 - 0^2}{2 \times 0.5} = 1,440,000 \text{ m/s}^2
The acceleration inside the barrel is approximately 1,440,000 meters per second squared.
The acceleration is huge, approximately 140,000 times greater than the acceleration due to gravity (approximately 10 m/s²).
This highlights the immense forces at play.
Using Newton's second law to calculate force:
F = ma
Where:
F = force
m = mass (0.0036 kg)
a = acceleration (1,440,000 m/s²)
Plugging in the values:
F = 0.0036 \times 1440000 = 5,184 \text{ N}
The force is approximately 5,184 Newtons.
The force experienced by the bullet is thousands of Newtons, compared to fractions of a Newton in wind tunnel experiments.
Bullets withstand these forces due to their design.
Applying internal ballistics principles to air weapon systems.
Air weapons are common in the UK due to lower legal restrictions. Investigation and understanding are still important.
Key phases (lock, ignition, barrel time) can be related to air weapon operations, even without traditional ignition.
Spring-operated: Compressing a spring releases energy to compress air, launching the projectile.
Pre-charged pneumatic (PCP): Uses a pre-pressurized air source (like a diving bottle) to propel the pellet.
Trigger releases a compressed spring instead of activating a primer (no primer in air weapons).
Lock Time: The time from trigger pull to releasing the compressed spring (different definition than in live fire weapons).
The compressed spring pushes a piston, compressing air into the barrel, which drives the projectile.
Compression Time: Equivalent to ignition time. This is the time it takes to compress air to move the pellet.
Barrel Time: Remains the same (time from projectile movement to exiting the barrel).
General concepts of internal ballistics can be adapted to various weapon systems.
Understanding and adaptability are key to effective investigation.
Safety is crucial: Maintain air weapons to prevent air leaks or mechanical failures.
Compressed air can be dangerous; mechanical mechanisms can also cause injuries if not handled carefully.
Personal anecdote: A childhood injury with an airgun due to improper handling.
Uses gas from an external source (divers bottle, foot pump, or pre-charged CO2 cartridge).
Operating pressures are high (about 200 times atmospheric pressure).
A valve system regulates the release of air to launch the projectile.
Lock Time: Time from trigger pull to valve activation.
Valve Operation Time: Equivalent to ignition time; the time for the valve to open and air to propel the projectile. No ignition time, instead valve operation time applies.
Barrel Time: Remains the same (time projectile spends in the barrel while in motion).
Three phases of investigation:
Lock Time: Identify mechanical issues from trigger to activation.
Ignition/Valve Operation: Check for problems in air compression or valve systems.
Barrel Time: Look for barrel blockages, wear, or issues with projectile rotation.
This methodical approach helps manage and troubleshoot weapon system problems.
Kinetic energy of the projectile determines legal status:
Air rifles below 12 foot-pounds (approximately 16 joules) are generally unlicensed.
Remmber that air pistols have half this value.
Air pistols below 8 joules have a different value.
Above these limits:
Air rifles become Section 1 firearms (require a firearm certificate if over 16 joules).
Air pistols can become Section 5 prohibited weapons (if is in excess of eight joules), leading to potential jail time without proper certification.
Important to avoid modifying air weapons to increase energy output, which can lead to severe legal consequences.
The "Home Office test" involves firing air weapons through a chronograph to measure velocities and calculate energy output.
Kinetic energy is related to mass and velocity ($\frac{1}{2}mv^2), use a range of different airgun pellet designs or masses in particular.
Varying masses of pellets are used (heavy, medium, light) to see how energy output balances between mass and velocity.
Ten shots of each mass are fired, and velocities are recorded.
Individual kinetic energies are calculated for each shot, and the results are not averaged.
The important calculation being: KE = \frac{1}{2} m v^2
The highest single-shot energy determines the weapon's classification.
It can be difficult if a new projectile comes on the market, and the weapon is capable of going above that legal limit, so you should be aware of the classification of air weapons.
Ignorance can be argued in court in some cases, especially if new projectiles on the market exceed legal limits post-purchase, but legal arguments may be necessary if there are penalties.
Hand loaders are those who make their own ammunition, for example professional target shooters, who want their ammunition a specific way.
They tailor propellant loads and mixtures for specific ballistic outputs.
Skilled hand loaders can produce more consistent ammunition than factory loads.
Training courses are essential to understand the process and ensure safety.
Poorly considered loads can lead to:
Pressure chambers exceeding design limits, causing the weapon to explode.
Too low ignition pressure (squib loads), where the bullet jams in the barrel.
A second shot fired into a jammed barrel can cause the weapon to explode.
Specific training and practice are necessary.
Never use ammunition that someone else has hand-loaded.
You can't know the exact load or process used. Factory ammunition is generally consistent and safer.
The new topic is muzzle attachments.
It include accessories placed on the end of the barrel to modify ballistic output (sound, flash, etc.).
Knowledge and safe usage are crucial, as different attachments are designed for different purposes and ammunition types.
Accessories designed to diminish noise or flash are legally considered firearms in their own right and often classified in the same class as the weapon.
The end of the barrel (muzzle) must be in good condition.
Damage can cause serious issues with ammunition and accuracy.
Dropping or scraping the gun can damage the muzzle crown (the very end of the muzzle).
The muzzle crown is the surface at the end of the barrel.
Damage, even tiny scuffs, can cause particles of metal to stick into the bullet's path.
This can cause instability and tumbling, leading to dangerous and unpredictable trajectories.
Maintenance is essential; carefully remove any damage to ensure a clean bullet path.
The lecture covers sound suppressors, often incorrectly called silencers.
The key sounds from a firearm, listed from loudest to quietest, typically include:
Pressure waves (supersonic gases and bullets)
Mechanical action noises
Air friction
Impact sound
Caused by components going supersonic (similar to a sonic boom).
Supersonic Gases: Gases expanding rapidly create a loud crack.
Sound suppressors attempt to slow these gases to subsonic speeds.
Supersonic Bullets: Bullets exceeding the speed of sound also create a crack.
Sound suppressors can't eliminate this sound.
Supersonic Ammunition: Sound suppressors are not very effective because bullets create their own sonic boom.
Subsonic Ammunition: Designed to stay below approximately 340-350 m/s (the speed of sound).
When combined with a suppressor, significant sound reduction occurs because there are no supersonic cracks.
Mechanical Action Noises: Significant in machine guns but less relevant with suppressors.
Air Friction: Relatively quiet.
Impact Sound: Depends on the target material (can vary from quiet to very loud).
Subsonic bullets have shorter ranges and altered trajectories.
Best suited for close-range combat.
The speed of sound in air varies with environmental conditions, especially temperature.
The speed of sound can be determined by this equation: 331.3 + 0.606*T, with T being the temperature in Celsius.
A suppressor can only reduce the supersonic pressure wave caused by rapidly expanding gases.
Integral Sound Suppressors: Built into or permanently attached to the barrel.
Interchangeable Sound Suppressors: Can be added or removed.
Attachments: Screw-on, bayonet fitting, or grub screw.
Relatively ineffective with supersonic ammo.
Highly effective with subsonic ammo.
Gases expand rapidly when the bullet exits the barrel, producing the supersonic crack.
The suppressor's purpose is to reduce the energy and velocity of these gases before they exit.
Turbulence: Increase air turbulence using controlled chambers.
Gases bounce around inside the barrel. Extra chambers cause the gases to hit surfaces.
Energy Transfer: Each impact transfers energy to the surface, reducing the velocity of the gases.
The goal is to reduce the gas velocity below the speed of sound. Expansion chambers allow more expansion and turbulence.
Expansion chambers and baffles: Expansion chambers provides more space. Baffles interact with the propulsion gas behind the projectile.
Can: A hollow extension on the muzzle.
Baffle: A can with horizontal partitions (baffles) inside.
Reflex: More complex baffles creating expansion chambers.
Active: Baffles are spring-loaded. Reflex suppressors have fixed baffles, while these baffles have a more elastic movement that gives an added effect.
A Can: Hollow with no internal structures.
A Baffle: Horizontal partitions cause gases to bounce around.
A Reflex: Complex expansion chambers for more interactions.
An Active: Spring-loaded baffles absorb energy from gases.
Engaging with teams is crucial for effective presentations.
Presentations are imminent, so thorough preparation and consistent practice are vital for success.
The previous lecture concluded the discussion on internal ballistics, emphasizing processes within a firearm from trigger pull to projectile exit.
A comprehensive grasp of these processes is essential for forensic investigations, accident reconstructions, and firearm performance analysis.
The pressure-time curve illustrates pressure dynamics within the chamber during three key phases: lock time, ignition time, and barrel time. Understanding these phases helps diagnose firearm malfunctions and assess ammunition performance.
Detailed analysis of forces and accelerations within a firearm using a specific example:
Consider a 5.56 mm bullet weighing 3.6 grams.
The bullet accelerates from rest to 1,200 meters per second within a 0.5-meter barrel.
Ignition of propellant generates high-pressure gas.
This pressure exerts force on the projectile, accelerating it down the barrel.
The bullet also experiences spin, enhancing gyroscopic stability, which is critical for accuracy.
Using the SUVAT equation to determine acceleration:
v^2 = u^2 + 2as can be rearranged to solve for acceleration:
a = Rac{v^2 - u^2}{2s}
Where:
v = final velocity (1,200 m/s)
u = initial velocity (0 m/s)
a = acceleration
s = distance (0.5 m)
Substituting values into the equation:
a = Rac{1200^2 - 0^2}{2 Imes 0.5} = 1,440,000 Ext{ m/s}^2
The calculated acceleration inside the barrel is approximately 1,440,000 meters per second squared.
This immense acceleration is approximately 140,000 times greater than gravitational acceleration (approximately 10 m/s²).
This underscores the extreme forces involved in firearm operation.
Applying Newton's second law to calculate force:
F = ma
Where:
F = force
m = mass (0.0036 kg)
a = acceleration (1,440,000 m/s²)
Plugging in the values:
F = 0.0036 Imes 1440000 = 5,184 Ext{ N}
The calculated force is approximately 5,184 Newtons.
The bullet experiences forces of thousands of Newtons inside the barrel, contrasting sharply with wind tunnel experiments where forces are fractions of a Newton.
This calculation highlights the importance of bullet design to withstand such extreme conditions.
Applying internal ballistics principles to air weapon systems, noting their relevance in forensic and legal contexts.
Air weapons are prevalent in the UK due to relaxed regulations compared to firearms.
Understanding internal ballistics principles is still crucial for investigations involving air weapons.
The key phases (lock, ignition, barrel time) can be adapted to describe air weapon operation, albeit without traditional ignition processes.
Spring-operated: A compressed spring releases energy to compress air, which then propels the projectile.
Pre-charged pneumatic (PCP): Uses a pre-pressurized air source to launch the pellet, offering consistent power and minimal recoil.
A trigger releases a compressed spring instead of a primer.
Lock Time: The duration from trigger pull to the release of the compressed spring.
The released spring drives a piston, compressing air within the barrel to propel the projectile.
Compression Time: Equivalent to ignition time; describes the duration to compress air and initiate pellet movement.
Barrel Time: The time the projectile spends moving through the barrel until exit remains consistent.
Basic principles of internal ballistics are applicable across various weapon systems.
Comprehensive understanding and adaptability are essential for forensic investigations and safety.
Safety is paramount; maintain air weapons to prevent air leaks and mechanical failures.
Compressed air poses risks; mechanical mechanisms can cause injuries if mishandled. Regular maintenance and adherence to safety protocols are crucial.
Personal safety anecdote emphasizing the importance of proper handling.
Uses externally sourced gas (diving bottles, foot pumps, CO2 cartridges).
High operating pressures (around 200 times atmospheric pressure) ensure powerful and consistent shots.
A valve regulates air release to launch the projectile efficiently.
Lock Time: The time from trigger pull to valve activation, influencing shot timing and accuracy.
Valve Operation Time: Equivalent to ignition time in firearms; describes the duration for the valve to open and propel the projectile.
Barrel Time: Remains the same, measuring projectile travel time within the barrel.
Methodical approach to investigate air weapon incidents:
Lock Time: Examine mechanical components from trigger to activation to identify issues.
Ignition/Valve Operation: Check air compression and valve systems for malfunctions affecting performance.
Barrel Time: Inspect the barrel for blockages, wear, and projectile rotation issues to ensure accuracy.
This structured approach aids effective troubleshooting and forensic analysis.
Legal status depends on kinetic energy:
Air rifles below 12 foot-pounds (approximately 16 joules) are generally unlicensed, allowing for recreational use without strict regulation.
Air pistols have a different legal limit.
Above these limits:
Air rifles become Section 1 firearms (require a firearm certificate), resulting in stringent control and monitoring.
Air pistols can become Section 5 prohibited weapons, leading to severe penalties, including imprisonment, without proper authorization.
Modifying air weapons to increase energy output can lead to serious legal repercussions.
The "Home Office test" measures velocity using a chronograph to calculate energy output, ensuring compliance with legal standards.
Kinetic energy is related to mass and velocity (\fRac{1}{2}mv^2), so various pellet masses are used.
Heavy, medium, and light pellets are tested to observe the balance between mass and velocity.
Ten shots per mass are recorded, with individual kinetic energies calculated (not averaged).
The highest single-shot energy determines the weapon's legal classification.
New projectiles exceeding legal limits can pose classification challenges.
Ignorance may be a defense, especially with new projectiles, but legal arguments may be necessary.
Hand loaders customize ammunition for specific ballistic performance, often favored by target shooters.
They carefully adjust propellant loads and mixtures to achieve desired outputs.
Skilled hand loaders can create more consistent ammunition than factory-produced rounds, enhancing accuracy.
Formal training is essential for safety and understanding the hand-loading process.
Poorly considered loads can cause:
The pressure chamber to exceed design limits, leading to weapon explosion and potential injury.
Too low ignition pressure (squib loads), resulting in the bullet lodging in the barrel.
Firing a second shot into a barrel with a lodged bullet can cause catastrophic failure.
Specific training and meticulous practice are crucial to avoid these hazards.
Do not use ammunition hand-loaded by others.
The exact load and process are unknown, increasing risk. Factory ammunition is safer and more consistent.
Muzzle attachments are accessories added to the barrel's end to alter ballistic output (sound, flash, recoil).
Knowledge and safe usage are vital, as attachments vary for different purposes and ammunition types.
Accessories that reduce noise or flash are legally considered firearms and regulated accordingly.
The muzzle must be in good condition to ensure accuracy and safety.
Damage can affect ammunition performance and trajectory.
Dropping or scraping the gun may damage the muzzle crown.
The muzzle crown is the surface at the barrel's end.
Damage, including small scuffs, can cause metal particles to interfere with the bullet's path.
This interference can lead to instability and unpredictable trajectories.
Regular maintenance is essential to ensure a clean bullet path.
Discussion on sound suppressors, commonly known as silencers, and their function.
Key firearm sounds (loudest to quietest):
Pressure waves (supersonic gases and bullets)
Mechanical action noises
Air friction
Impact sound
Pressure waves are caused by components exceeding the speed of sound.
Supersonic Gases: Rapidly expanding gases create a loud crack, which suppressors aim to mitigate by reducing gas velocity.
Supersonic Bullets: Bullets faster than sound generate a sonic boom, which suppressors cannot eliminate.
Supersonic Ammunition: Suppressors are less effective because the bullet's sonic boom dominates the sound profile.
Subsonic Ammunition: Designed to remain below the speed of sound (approximately 340-350 m/s).
Combining suppressors with subsonic ammunition substantially reduces noise by eliminating supersonic cracks.
Mechanical Action Noises: Significant in automatic weapons but less so with suppressors.
Air Friction: Relatively quiet and less of a concern.
Impact Sound: Varies depending on the target material and is not affected by suppressors.
Subsonic bullets have reduced range and altered trajectories, affecting their suitability.
Best suited for close-range scenarios where stealth is more important than long-range accuracy.
The speed of sound varies with environmental factors, especially temperature.
The speed of sound can be approximated by the equation: 331.3 + 0.606*T, where T$$ is the temperature in Celsius.
Suppressors primarily reduce supersonic pressure waves from rapidly expanding gases.
Integral Sound Suppressors: Built into the barrel for maximum sound reduction.
Interchangeable Sound Suppressors: Offer flexibility and can be added or removed easily.
Attachments: Common methods include screw-on, bayonet fitting, and grub screw mechanisms.
Relatively ineffective with supersonic ammunition because the bullet itself creates a sonic boom.
Highly effective with subsonic ammunition by minimizing the noise from expanding gases.
Suppressors reduce gas energy and velocity before exiting the barrel, mitigating noise.
Turbulence: Controlled chambers increase air turbulence to slow gases.
Gases bounce within the suppressor, impacting surfaces and transferring energy to reduce velocity.
Expansion chambers and baffles facilitate turbulence, reducing gas velocity below the speed of sound.
Expansion chambers provide extra space, while baffles interact with propellant gases.