![]() Use your knowledge and skills to help others succeed.ĭon't be wasteful protect our environment. Physics topics Archimedes Solves Density Problem Please include it as a link on your website or as a reference in your report, document, or thesis. (Notice: The School for Champions may earn commissions from book purchases) ![]() Then by weighing it, he could determine its mass and thus its density.īy comparing the wreath's density with the known density of gold, Archimedes determined that the wreath was not made of pure gold.įind different ways to solve your problems Summaryīy realizing that an object submerged in water will displace its volume-no mater what it's shape or configuration-Archimedes was able to determine the volume of the wreath. ![]() He was robbing the king and was probably punished for the crime. Unfortunately for the goldsmitth, the density of the wreath showed that it was not pure gold. That could be done by filling the container to the rim, placing the wreath in the water, and then measuring the overflow.īy measuring the volume of the water and the mass of the wreath, Archimedes was able to determine its mass. The solution to the problem was that he placed the wreath in a container of water and measured its displacement. When he noticed the water rise as he got into the tub, Archimedes suddenly realized the solution.Īrchimedes was so excited that he jumped out of the tub and ran down the street, shouting, "Eureka! Eureka!" which means "I have found it!" Unfortunately, he was so excited that he forget to put on his clothes and ran through the streets naked! Solution The story goes that Archimedes decided to take a hot bath to help his mind relax and find a solution to this problem. ρ is the density of the wreath material ( ρ is the Greek letter rho).He could measure its mass to determine its density. One solution Archimedes proposed was to crush the irregularly shaped wreath into a cube to determine its volume. This was the problem Archimedes faced.Īfter thinking about it for a while, Archimedes then took a bath to find a solution to the problem. However, in order to find the density of the wreath, its volume must be determined. If it was made of a mixture, the density would be different. If the wreath was pure gold, it would have a certain density. The king suspected his goldsmith was embezzling some of the gold. This relates to is a famous story where ancient Greek scientist Archimedes was asked by King Hiero of Syracuse to find out if the gold wreath made by Hiero's goldsmith was truly pure gold and not mixed with some other alloy. It is usually easy to find the mass of an object, but finding the volume of an irregularly shaped object can be a challenge. You need to know both the mass and volume of an object to determine its density. The Aluminum cylinder is of an unknown alloy with the following dimensions:ġ) The Golden Crown by Chris Rorres, Professor Emeritus of Mathematics at Drexel University has more historical information and a critique of the Archimedes' Crown story originally told by Vitruvius.SfC Home > Physics > Matter > Archimedes Solves Density Problem Can be repeated with an irregularly shaped object (a gold crown) to find that it is, unfortunately, a fake. Then the water that was displaced is poured into the plastic bottle tied to the scale and the scale reading returns to its original value, showing that the buoyant force is equal to the weight of water displaced. The weight reduction of the cylinder is noted on the scale. The aluminum cylinder is lowered into a water bath and the displaced water that spills out is collected in a large beaker. Archimedes' Principle and Crown (2B40.20) Archimedes' Principle and Crown (2B40.20) Description:Ī spring scale supports a plastic bottle and an aluminum cylinder on a string. The story associated with the third-century BC inventor and engineer Archimedes of Syracuse is that Hieron had commissioned a finely-wrought golden crown to dedicate to the goddess Victory.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |