Monday, January 3, 2011

Strengths Of Yogurt Activia

stray bullets, "mortals? Something about Religulous

In short: it is highly unlikely. A stray bullet or a shot in the air can cause a painful injury to the recipient of the bullet, hardly mortal. Endanger the health of others to satisfy a desire to make loud noises changuil at will is not enough excuse to fire into the air.

Before reading about it and do a few numbers, I thought the stray bullet was not more than urban legend. I hold it very unlikely that you can kill, but if you are unfortunate enough to receive a stray bullet hit is equally possible that a delicate site. Is unlikely to be fatal for the same reason that employees of airports do not die from air screws missing: the target and the missile are too small compared to the space around them.

Assuming that the bullet hits, what can we conclude from a more or less realistic scenario? It is advisable to start with an idealized version of the event to get some conclusions that help simplify the real problem. Empty stage in the following extract:

  • Neglecting air resistance, a bullet fired vertically * return to the ground as quickly to its release.
  • mass and shape of the bullet are irrelevant in this case, so that a bullet fired vertically takes ~ 1 min to return to the soil (assuming an initial speed of ~ 250 m / s).
  • The highest point of the trajectory of the bullet, it stops completely, since it reverses its vertical speed and begins to descend under the influence of gravity alone.

* For 'vertically' understood an angle sufficiently close to 90 ° as to be considered a loose cannon and not the crowd.

Closer to reality, we must consider that we live in air. This medium offers resistance to movement and different models (determined experimentally) to deal with the scenario. The mathematical model I chose has 2 dependent terms of speed, also called: and pressure damping term. In this link find an excellent class (video) 50 minutes on the subject.

The important detail on the issue of air resistance is as follows: any viscous medium presents a speed limit for an object in free fall. This limit (called terminal velocity) occurs when the resistance of the medium is equal to the weight of the object falling into it. The limit depends on many factors such as object shape, density and half thereof, among others. Some of these factors also depend on other variables, eg density of air depends on pressure and temperature. Ie not the same fire in the air in La Paz in Havana, much less so in summer than in winter. It is virtually impossible to establish the conditions to declare, once and for all, if a stray bullet can kill you or not. Too many mechanisms involved. Best we can do is to analyze some of the cases and draw conclusions without extrapolating too.

A bale of 10 grams as an approach spherical, diameter 12.2 mm, fired vertically and ignoring the wind (but not the air itself, 1 atm and room temp.), Will return to the ground with a speed of ~ 60 m / s . This is 25% of the speed with which it leaves the barrel but enough to penetrate human skin, according to this article . In this case, the mass of the bullet does play an important role in determining the terminal velocity in air. A 5 g bullet has a terminal velocity of ~ 40 m / s, and a 1 g has a terminal velocity of ~ 18 m / s. The small sizes do not are more dangerous than a flying dove with heart failure and their chelas Sunday roast. Conclusion



A bullet fired into the air can severely injure the recipient. It is very unlikely to be lethal, but dangerous enough to recommend to find temporary shelter if someone thinks it relatively close to you (just heard the shot to be in the area).

Shooting into the air in a populated area is a foolish and irresponsible act. Best kiss your girlfriend or boyfriend and take another beer.

Happy New Year to all. PD

Here is "the numbers" in case you're interested.

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