:Projectile

{{Short description|Object propelled through the air}}

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A projectile is an object that is propelled by the application of an external force and then moves freely under the influence of gravity and air resistance.{{cite book|last1=Pius|first1=Okeke|last2=Maduka|first2=Anyakoha|title=Senior Secondary School Physics|publisher=Macmillan,Lagos, Nigeria|year=2001}}{{cite web|url=http://www.merriam-webster.com/dictionary/projectile|title=projectile |website=merriam-webster.com |access-date=13 April 2017}} Although any objects in motion through space are projectiles, they are commonly found in warfare and sports (for example, a thrown baseball, kicked football, fired bullet, shot arrow, stone released from catapult).{{cite web |title=projectile |website=The Free Dictionary |url=http://www.thefreedictionary.com/projectile |access-date=2010-05-19}}{{cite web |title=projectile |website=Dictionary.com |url=http://dictionary.reference.com/browse/projectile |access-date=2010-05-19}}

In ballistics, mathematical equations of motion are used to analyze projectile trajectories through launch, flight, and impact.

Motive force

{{See also|Projectile motion}}

File:Schwerer Gustav projectile 2.jpg Schwerer Gustav artillery piece. Most projectile weapons use the compression or expansion of gases as their motive force.]]

Blowguns and pneumatic rifles use compressed gases, while most other guns and cannons utilize expanding gases liberated by sudden chemical reactions by propellants like smokeless powder. Light-gas guns use a combination of these mechanisms.

Railguns utilize electromagnetic fields to provide acceleration along the entire length of the device, greatly increasing the muzzle velocity.

Some projectiles provide propulsion during flight by means of a rocket engine or jet engine. In military terminology, a rocket is unguided, while a missile is guided. Note the two meanings of "rocket" (weapon and engine): an ICBM is a guided missile with a rocket engine.

An explosion, whether or not by a weapon, causes the debris to act as multiple high velocity projectiles. An explosive weapon or device may also be designed to produce many high velocity projectiles by the break-up of its casing; these are correctly termed fragments.

In sports {{anchor|Sport projectiles}}

Image:baseball.jpg.{{cite news|url=http://www.boston.com/sports/blogs/thebuzz/2010/08/aroldis_chapman.html|title=Aroldis Chapman hits 105 mph|publisher=Boston.com|date=2010-08-26|access-date=2010-08-30|first=Matt|last=Pepin|archive-url=https://web.archive.org/web/20100831185316/http://www.boston.com/sports/blogs/thebuzz/2010/08/aroldis_chapman.html|archive-date=31 August 2010 |url-status=live}}

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In projectile motion the most important force applied to the projectile mass is the propelling force. In many sports, the propelling forces are provided by muscles that accelerate the projectile (ball, disc, javelin, hammer, dart), and the stronger the propelling force, the faster and farther the projectile will travel. See pitching, bowling.

As a weapon

=Delivery projectiles=

Many projectiles, e.g. shells, may carry an explosive charge or another chemical or biological substance. Aside from explosive payload, a projectile can be designed to cause special damage, e.g. fire (see also early thermal weapons), or poisoning (see also arrow poison).

=Kinetic projectiles=

{{excerpt|Kinetic energy weapon}}

Wired projectiles

Some projectiles stay connected by a cable to the launch equipment after launching it:

  • for guidance: wire-guided missile (range up to {{convert|4000|m|disp=or|||}})
  • to administer an electric shock, as in the case of a Taser (range up to {{convert|10.6|m|disp=or|||}}); two projectiles are shot simultaneously, each with a cable.
  • to make a connection with the target, either to tow it towards the launcher, as with a whaling harpoon, or to draw the launcher to the target, as a grappling hook does.

Typical projectile speeds

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{{See also|Orders of magnitude (speed)|Muzzle velocity}}

class="wikitable"

!rowspan=2 | Projectile

!colspan=4 | Speed

!rowspan=2 | Specific kinetic energy (J/kg)

(m/s)(km/h)(ft/s)(mph)
Object falling 1 m (in vacuum, at Earth's surface)4.4315.94814.59.99.8
Object falling 10 m (in vacuum, at Earth's surface)1450.4463198
Thrown club (expert thrower)4014413090800
Object falling 100 m (in vacuum, at Earth's surface)45162150100980
Refined (flexible) atlatl dart (expert thrower)451621501001,000
Ice hockey puck (slapshot, professional player)501801651101,300
80-lb-draw pistol crossbow bolt58208.81901301,700
War arrow shot from a 150 lbs medieval warbow63228.22081412,000
Blunt Impact Projectile shot from a 40mm grenade launcher87313.2285194.63,785
Paintball fired from marker91327.63002044,100
175-lb-draw crossbow bolt97349.23202174,700
6 mm Airsoft pellet1003603282245,000
Air Rifle BB 4.5 mm15054049233611,000
Air gun pellet .177" (magnum-power air rifle)305878.41,00054529,800
9×19mm (bullet of a pistol)34012241,11676158,000
12.7×99 mm (bullet of a heavy machine gun)8002,8802,6251,790320,000
German Tiger I 88 mm (tank shell- Pzgr. 39 APCBCHE)8102,8992,6571,812328,050
5.56×45mm (standard round used in many modern rifles)9203,3123,0182,058470,000
20×102mm (standard US cannon round used in fighter cannons)1,0393,7413,4102,325540,000
25×140mm (APFSDS, tank penetrator)1,7006,1205,5773,8031,400,000
2 kg tungsten Slug (from Experimental Railgun)3,00010,8009,8436,7114,500,000
MRBM reentry vehicleUp to 4,000Up to 14,000Up to 13,000Up to 9,000Up to 8,000,000
projectile of a light-gas gunUp to 7,000Up to 25,000Up to 23,000Up to 16,000Up to 24,000,000
Satellite in low Earth orbit8,00029,00026,00019,00032,000,000
Exoatmospheric Kill Vehicle~10,000~36,000~33,000~22,000~50,000,000
Projectile (e.g., space debris) and target both in low Earth orbit0–16,000~58,000~53,000~36,000~130,000,000
7 TeV particle in LHC{{cite web |title=Facts and figures |url=http://public-archive.web.cern.ch/public-archive/en/lhc/Facts-en.html |website=European Organization for Nuclear Research |publisher=CERN |access-date=2018-07-02 |archive-url=https://archive.today/20180702083613/http://public-archive.web.cern.ch/public-archive/en/lhc/Facts-en.html |archive-date=2018-07-02 |date=2008}}299,792,455 Approximate equivalent of 99,9999991% c.1,079,252,839983571079670,616,536~6.7 × 1020 In relation to the rest mass of proton.

Equations of motion

{{main|Projectile motion}}

An object projected at an angle to the horizontal has both the vertical and horizontal components of velocity. The vertical component of the velocity on the y-axis is given as V_y=U\sin\theta while the horizontal component of the velocity is V_x=U\cos\theta. There are various calculations for projectiles at a specific angle \theta:

1. Time to reach maximum height. It is symbolized as (t), which is the time taken for the projectile to reach the maximum height from the plane of projection. Mathematically, it is given as t=U \sin\theta/g where g = acceleration due to gravity (app 9.81 m/s²), U = initial velocity (m/s) and \theta = angle made by the projectile with the horizontal axis.

2. Time of flight (T): this is the total time taken for the projectile to fall back to the same plane from which it was projected. Mathematically it is given as T=2U\sin\theta/g.

3. Maximum Height (H): this is the maximum height attained by the projectile OR the maximum displacement on the vertical axis (y-axis) covered by the projectile. It is given as H = U^2 \sin^2\theta/2g.

4. Range (R): The Range of a projectile is the horizontal distance covered (on the x-axis) by the projectile. Mathematically, R = U^2 \sin 2\theta/g. The Range is maximum when angle \theta = 45°, i.e. \sin 2\theta=1.

See also

Notes

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References

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  • {{cite book|author=Heidi Knecht|title=Projectile Technology|url=https://books.google.com/books?id=zS2SBgAAQBAJ&q=Semyonov+chahars|date=29 June 2013|publisher=Springer Science & Business Media|isbn=978-1-4899-1851-2}}