Sunday, October 11, 2009

Hooke’s law of elasticity

Hooke’s law, law of elasticity discovered by the English scientist Robert Hooke in 1660, which states that, for relatively small deformations of an object, the displacement or size of the deformation is directly proportional to the deforming force or load. Under these conditions the object returns to its original shape and size upon removal of the load. Elastic behaviour of solids according to Hooke’s law can be explained by the fact that small displacements of their constituent molecules, atoms, or ions from normal positions is also proportional to the force that causes the displacement.

The deforming force may be applied to a solid by stretching, compressing, squeezing, bending, or twisting. Thus a metal wire exhibits elastic behaviour according to Hooke’s law because the small increase in its length when stretched by an applied force doubles each time the force is doubled. Mathematically Hooke’s law states that the applied force F equals a constant k times the displacement or change in length x, or F = kx. The value of k depends not only on the kind of elastic material under consideration but also on its dimensions and shape.

BR> At relatively large values of applied force, the deformation of the elastic material is often larger than expected on the basis of Hooke’s law, even though the material remains elastic and returns to its original shape and size after removal of the force. Hooke’s law describes the elastic properties of materials only in the range in which the force and displacement are proportional. Sometimes Hooke’s law is formulated as F = —kx. In this expression F no longer means the applied force but rather the equal and oppositely directed restoring force that causes elastic materials to return to their original dimensions.

Hooke’s law may also be expressed in terms of stress and strain. Stress is the force on unit areas within a material that develops as a result of the externally applied force. Strain is the relative deformation produced by stress. For relatively small stresses, stress is proportional to strain. Richard Fulton

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A Room with a View of Mars

The launch in mid-July of the first inflatable space habitat marked another milestone in the commercialization of space, and a step closer to the dream of a space hotel to be realized next decade. This article will review the origins and development of the first space habitat, as well as plans for the first inflatable space hotel.

Since the start of the Apollo space program and the first moon landing in the 1960's, man has been intrigued by the possibility of space tourism where a room in space could be booked as conveniently and cheaply as one on Earth. But this scenario may no longer be purely science fiction. Approaching half a century since Soviet cosmonaut Yuri Gagarin, the first man in space, reached orbit, man is beginning to commercialize the final frontier. Amateur astronauts have taken part in official missions on several occasions since the mid 1980's. Since the first space tourist, American multimillionaire Dennis Tito, paid in excess of $20 million for the opportunity to undergo extensive training and spend a week on the multi-billion dollar International Space Station (ISS) in 2001, three others like him - South African Mark Shuttleworth, American Gregory Olsen, and the first woman space tourist, Iranian-born American Anousheh Ansari - have followed.

Until recently, the only way to reach orbit was either the space shuttle or the Soyuz space capsule. In 2004, Scaled Composites launched the first non-government-sponsored manned spacecraft, SpaceShipOne. Though the vehicle attained only sub-orbital flight, it opened the door to a new generation of privately-funded spaceflights. Virgin Galactic is planning to launch SpaceShipTwo, capable of carrying passengers into sub-orbital altitude in late 2008, followed by a larger version capable of real orbital reach a few years later.

Scoring a parking spot for your private spaceplane in orbit is a different story. The ISS, which is still unfinished (mainly due to the Columbia disaster), is not a space hotel and, although occasional tourists have boarded the Russian part of the station, it is first and foremost a scientific laboratory that will not be used to accommodate a large number of space tourists. Seeking to launch a genuine space hotel, hotelier Robert T. Bigelow created the space tourism company, Bigelow Aerospace, in 1999. Following seven years of development, Bigelow Aerospace launched its first inflatable space structure, Genesis I, on July 12th, 2006 using a Dnepr LV missile (a converted Russian SS-18 Inter-Continental Ballistic Missile) from the Yasny Launch Base in Russia. Measuring 4.4 m (~14 ft.) in length and 1.6 m (~5 ft.) in diameter when compressed, the spacecraft successfully reached a 483 km (300 mi.) orbit, then extended its solar panels, and inflated in fifteen minutes, expanding its width to a full 2.54 m (~8 ft.) in diameter. The Genesis I prototype habitat will be followed in a few months by Genesis II, a more sophisticated habitat that will carry more cameras (18 as opposed to Gensis I's 13). The next stage will be the larger Galaxy-class of habitats with a volume of 23 cubic meters, double that of the Genesis-class. The final ambitious step will take place in about six years with the launch of the huge 330 cubic meter Nautilus habitat, approaching the ISS's 425 cubic meters of usable volume. Launching this enormous 25 ton structure into orbit is a daunting task and Bigelow Aerospace plans to use a larger booster such as the SpaceX's planned Falcon 9S rocket to launch it into Low Earth Orbit (LEO).
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TransHab test at NASA (Credit: NASA)
The birth of Bigelow Aerospace and its inflatable space hotel concept in 1999 was intimately connected to the conceptualization and development of a space habitat for the planed future manned Mars Mission. The so-called TransHab project was initiated around 1997 by a NASA team headed by William Schneider, a prominent NASA engineer. The 600 cubic meters required for the habitat would be too heavy and large to be lifted into orbit. Thus, Schneider and his team of engineers devised a light, inflatable module that could be loaded onto a rocket or the space shuttle, squeezed to about a third of its normal size, and inflated to its full size once in orbit. The TransHab concept was also suggested as a possible living quarters module for the ISS and, though finally cancelled by Congress in 2000, it became the basis of the Genesis-class space module.


TransHab in NASA's test facility (Credit: NASA)
One of the most important design features of the TransHab is its multi-layer (nearly two dozen), foot-thick, inflatable shell made of various extremely high-strength, lightweight fibers with numerous protective features. The outer layers of the shell break up space debris and micro-meteorites that may hit the shell with speeds of up to 7 km/s (about seven-times that of a speeding bullet) and shield multiple inner "bladders", which contain the module's air, preventing it from escaping. The shell also insulates against the extreme temperatures of outer space, ranging between 121 oC (250 oF) in the sun, to -128 oC (-200 oF) in the shade.


TransHab's MMOD structure (Credit: NASA)
The exterior part of the shell, called the Micro-Meteoroid/Orbital Debris (MMOD) impact shield, is composed of alternating layers of Nextel, a material commonly used as insulation, and several thick layers of foam, similar to that used for chair cushions. A particle that impacts the Nextel and foam layers shatters, losing progressively more energy as it continues to penetrate. Far inside the shell is embedded a layer of bullet-proof, lightweight Kevlar that holds the module’s shape once inflated and surrounds three air-tight bladders made of Combitherm, a material commonly used in the food-packing industry. The innermost layer, forming the inside wall of the module, is Nomex cloth, which is fireproof and also protects the bladders from scratches from the inside

Though public interest in Bigelow's space hotel concept is vast, space tourism will remain a costly affair for the near future, out of reach of most people. Thus, Bigelow is building on a number of other lucrative space initiatives; chief among them will be selling space on its future habitats to countries that are unable to afford their own manned space programs. Currently underway is the "Fly Your Stuff" program, an opportunity for paying costumers to send items (smaller than a golf ball) including pictures onboard the Genesis II. For less than $300, an engagement ring can be lofted into orbit where it will be filmed by one of the many cameras installed on the habitat, and returned along with a keepsake video. Perhaps, following a lengthy engagement, the honeymoon could be booked there as well.

TFOT interviewed Bigelow Aerospace Corporate Counsel, Michael Gold, to learn more about the development and future plans of Genesis I and Bigelow Aerospace. antike parusto

The Moon Is A Rosetta Stone Of The Planets And Is The Closest One To The Earth.

The moon is one of thirty-two satellites that circle about the nine planets of the solar system. It is a quarter the size of the earth, weighs one-eightieth as much, and moves in a nearly circular orbit at a distance of a quarter of a million miles from us.

The moon is undistinguished among its sister satellites in nearly every respect. Lacking an atmosphere and oceans, it is a poor piece of real estate and a most unlikely abode for life. Yet, the very features of the moon which make it undesirable for colonization also endow it with a unique scientific value.

The moon has preserved the record of its past for an exceptionally long time; it holds clues to the early history of the solar system which are unavailable on any other neighboring body. On the earth, the atmosphere and the oceans wear away surface features in 10 to 50 million years, and mountain-building activity turns over large areas of the surface in about the same time. There is little left on the earth of the features that existed several hundred million or a billion years ago.

But on the moon there are no oceans and atmosphere to destroy the surface, and there is relatively little of the mountain-building activity which rapidly changes the face of the earth. Over large areas of the moon, the materials of the surface are as well-preserved as if they had been in cold storage.

Many craters are circled by ramparts ranging up to 10,000 feet in height. Some of these ramparts must be a billion years old or more, yet photographs taken with a telescope clearly indicate that they have been preserved almost unchanged, with little of the original material worn away. On the earth, a mountain 10,000 feet high is worn away in the relatively short time of 100 million years.

Why does the moon lack air and water, which are abundant on the earth? The answer is connected with the small size of the moon and the weak pull of gravity at its surface. The atmosphere of any moon or planet quickly drifts away into space if it is not held in place at the surface by the force of gravity. Even with gravity there is always a steady leakage of gas from the atmosphere into space.

The smaller the planet, the less the pull of its gravity, and the greater the leakage rate. The moon is so small that all the gases originally present in its atmosphere, including water vapor, escaped quickly when it was still very young. If no life exists on the moon, what is the scientific interest of lunar exploration? A large part of the answer is connected with the excellent state of preservation of the moon.

The piece of rock that the astronauts bring back to the earth will almost surely contain no life; it will probably contain no gold or silver; but, nonetheless, it will be scientifically priceless because of the revelations it can offer regarding the history of the solar system. Alan Benson

Mercury—Spain’s “Liquid Silver” Bonanza

HAVE you checked the temperature lately? If so, very possibly you consulted a mercury thermometer. Perhaps you wondered where the mercury came from. The source could well have been the Almadén mine in Spain, where the world’s richest mercury deposit is found. More than a quarter of the world’s mercury production comes from this seam.

“Quicksilver” in English, Quecksilber in German, vif argent in French, azogue in Spanish and hydrargyros in Greek—all are names for mercury—that elusive, slippery, silver-colored, “live” or “quick” liquid metal. In the modern world, mercury has more than 3,000 uses. How is it obtained?

Geologists say that eight elements form more than 98.5 percent of the earth’s crust, and that the remaining 95 or more, including mercury, constitute a mere 1.5 percent of the total. Consequently, mercury is not easy to find.

Mercury in Its Natural State

During the formation of the earth, mercury was one of the thermal liquids that pushed up to fill the cracks and fissures of certain parts of the earth’s crust. In some cases, it remained as pockets of liquid mercury, but in the majority of cases it combined with sulfur to form mercuric sulfide or cinnabar. The rock that contains this mineral has a reddish hue. On closer examination, it has a speckled appearance. Those red speckles contain the precious mercury, which is separated from the ore by the slow process of mining the rock, crushing it, roasting it and distilling and condensing the resultant vapor, then, by filtration or agitation, separating from the condensate the hydrargyrum (from the Greek word meaning “liquid silver”). Today we call it “mercury,” a name that was applied by the alchemists in the sixth century C.E.

When did man first discover mercury? One source says that mercury has been found in Egyptian tombs dated as early as 1500 B.C.E. We can find definite reference to the metal in the writings of Theophrastus (a disciple of Aristotle), who, about 300 B.C.E., described how “liquid silver” was prepared by a simple process of pounding cinnabar stone together with vinegar in a copper vessel. Actually, the pounding served to separate small quantities of free mercury, but did not liberate the mercury that was in compound form.

Pliny the Elder reported, about 50 C.E., that each year some 5,000 kilograms (11,000 pounds; 5 metric tons) of cinnabar were taken from Sisapo in Spain (possibly the area known today as Almadén) and were transported to Rome, where cinnabar was used as vermilion pigment. The mercury was used to recover the “noble” metal, gold, as well as being used with gold in a gilding process.

At the beginning of the eighth century C.E., the Arab invasion of the Iberian peninsula began. This Arab and Moslem occupation lasted for eight centuries. During this period, the Arabs encouraged the exploitation of the Almadén mercury mines. As a result, much of the present-day Spanish vocabulary that has to do with mercury mining springs from the Arabic. For example, even the full name of the town, Almadén del Azogue, is derived from the Arabic words al-ma′din (the mine) and az-za’ūq (the mercury), or The Mine of the Mercury. The Spanish word for the condensation chamber that is used to obtain the mercury is aludel, from the Arabic al-’utal, which refers to the receptacle that was used for condensing the mercury vapor into liquid. The old furnaces that were used in Almadén were called jabecas, derived from the Arabic sabīka, or ingot. Similarly, the men employed to construct the ovens were albañiles, from al-bannā, the bricklayer or builder, or were alarifes, from al-′arīf, the teacher or skillful one.

The Spanish king Alfonso VII recaptured Almadén in the year 1151 C.
and during the following centuries the Spanish crown ceded the mine for private exploitation. In the 20th century the direction of the mine was put in the hands of an administrative council that has progressively modernized the mine, a process that continues to this day.

Distillation Methods Through the Centuries

The primitive methods for obtaining mercury were far from efficient, as is shown by the fact that in the 17th century workmen were able to feed the new Bustamante furnaces with burned stone that had been thrown out after use in the Arab jabecas, or ovens, and were still able to get appreciable quantities of mercury. The first Bustamante furnace was installed in 1646. In two years, nine more of these were built, and eventually 16 were in operation. This boosted mercury production from 2,527 quintales, or hundredweight, in 1646 to an annual production of 7,000 hundredweight in 1776.

Uses of Mercury

As the centuries rolled by, the uses for mercury multiplied. In the 16th century, Paracelsus, a Swiss-born alchemist and physician, employed mercury in the treatment of syphilis. In 1558, Bartolomé de Medina improved the method for extracting silver by a process that involved the use of mercury. The weather barometer was invented in 1643 by the Italian physicist Torricelli, who used a column of mercury to determine the atmospheric pressure. The thermometer with which the doctor or nurse checks your temperature was invented in 1720 by the German scientist Gabriel Fahrenheit, who calibrated the tube containing the expanding column of mercury, making 180 divisions between the freezing and boiling points of water.

Another and less peaceful use for mercury was invented after E. C. Howard discovered mercuric fulminate, which was used until the 1960’s to detonate explosives. The list of uses has snowballed in our 20th century to include agricultural and industrial fungicides, electric switches and mercury batteries, to name only a few. Mercury in vapor form serves in ultraviolet lamps, and in mercury lamps that light the highways. In some cases, mercury vapor is used instead of steam for power generation. This versatile metal has also been used in dental fillings as an amalgam with a silver and tin alloy. It does not appear to be poisonous when so used.

Mercury—Friend or Foe?

This is a legitimate question, for in the last 20 years man has learned the hard way that mercury is a servant that has to be strictly controlled. In many countries, including Japan, Sweden, the United States and Canada, evidence has accumulated establishing the fact that mercury in certain forms is a poison that affects both human life and animal life.

Investigations have revealed abnormal amounts of mercuric compounds in certain fish and game birds. These excesses have been traced to industrial plants that have released mercury along with other waste products, and also to fungicides using methyl mercury. This compound, entering into the food chain, produces catastrophic effects.

Methyl mercury is especially dangerous to pregnant women, since it tends to accumulate in the fetus, causing brain damage to the unborn baby. In New Mexico, U.S.A., in 1969, a family was poisoned by eating pork from a hog that had been fed on grain treated with methyl mercury. Three children were severely crippled, and the fourth, poisoned while in the womb, was born blind and retarded. In the area of the Japanese city of Minamata, mercury poisoning reached epidemic proportions before the doctors finally tracked down the culprit—methyl mercury that had belched out of the effluent pipe of a nearby factory, contaminating the fish, which was a main local source of food. Jenie Hinaloc