Projectile

 ( Ammunition ) 

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. Although any objects in motion through space are projectiles, they are commonly found in warfare and (for example, a thrown baseball, kicked football, fired bullet, shot arrow, stone released from catapult).

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

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Motive force and use compressed gases, while most other and utilize expanding gases liberated by sudden chemical reactions by like smokeless powder. use a combination of these mechanisms.

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 missile. 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.

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In sports . ]] 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.

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As a weapon

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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).

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Kinetic projectiles

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

• for guidance: wire-guided missile (range up to )
• to administer an electric shock, as in the case of a Taser (range up to ); 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.

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Typical projectile speeds

9.8
98
800
980
1,000
1,300
1,700
2,000
3,785
4,100
4,700
5,000
11,000
29,800
58,000
320,000
328,050
470,000
540,000
1,400,000
4,500,000
Up to 8,000,000
Up to 24,000,000
32,000,000
~50,000,000
~130,000,000
~6.7 × 1020 In relation to the rest mass of proton.

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Equations of 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 $V\_y=U\backslash sin\backslash theta$ while the horizontal component of the velocity is $V\_x=U\backslash cos\backslash theta$. There are various calculations for projectiles at a specific angle $\backslash theta$:

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 $t=U\; \backslash sin\backslash theta/g$ where $g$ = acceleration due to gravity (app 9.81 m/s²), $U$ = initial velocity (m/s) and $\backslash theta$ = 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 $T=2U\backslash sin\backslash theta/g$.

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 $H\; =\; U^2\; \backslash sin^2\backslash theta/2g$.

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

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See also

• Projectile use by non-human organisms
• Traveling charge

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Notes

• Heidi Knecht (2013). 9781489918512, Springer Science & Business Media. . ISBN 9781489918512

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External links

• Open Source Physics computer model
• Projectile Motion Applet
• Another projectile Motion Applet

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