It depends on how thin the wire is. Silver is very ductile. According to one source(*), an ounce of silver can be drawn out into a wire 60 miles long (316,800 feet) - such a wire would make a human hair look very thick by comparison. As a point of comparison, the same source notes that an ounce of gold, the most ductile of metals, can be drawn out into a wire 1300 miles (6,864,000 feet) long! (*) Hassell, Joseph, "Common Things and Elementary Science in the Form of Object Lessons", Blackie & Son, London, 1884. page 326 http://books.Google.com/books?id=3qEIAAAAQAAJ&printsec=titlepage&source=gbs_v2_summary_r&cad=0
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About a fathom
SILVER and Gold are measured in many ways the international standard is a system called "Troy Measurements." In Troy one pound (lb) is divided up into 12 Troy Ounces and each Troy Ounce is divided into 20 units called Pennyweight (dwt). A troy ounce is 31.1034768 grams, which is about 10 percent more than the avoirdupois ounce, which is 28.349523125 grams. In July 2010, silver is running about $18.25 an ounce or about $220 a Troy pound.
Silver Weight : 0.3617 Troy Ounce
1 troy ounce = 0.0311034768 kilograms
The standard weight of a U.S. nickel is 5 grams. Therefore, there are 6.32 nickels per troy ounce (31.6 grams). If you are interested in determining the weight of silver in troy ounces in "war nickels" issued between 1941 and 1945, multiply the number of nickels by 0.0557. This will give you the weight of silver in troy ounces. One war nickel should contain 1.75 grams of silver. Divide by 31.6 grams per troy ounce, and you should get 0.0557.