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Why couldn't Archimedes work out the volume of the crown by measuring it with a ruler?
Wiki User
∙ 14y ago
different objects have a different density so since gold is more dense than silver the crown made of pure gold would be heavier than the silver crown.
Wiki User
∙ 14y ago
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How does the acrchimedes crown story relate to matter?
The Archimedes story relates that Archimedes had been trying to determine if the King's crown was pure gold, without having to melt it down (destroying it) to see. Archimedes sat down in the tub and noted that the water rose in the tub, and that he realized that the volume of water displaced was equal to the volume of Archimedes himself. This gave him an insight into how to determine the volume of the crown; by submerging the crown in water and measuring how far the water rose, this would give him the volume of the crown. He could then weigh the crown and calculate the density of the crown, and determine that the crown was not pure gold.
What do you use to measure the volume of a stone?
You have to use a measuring cylinder and water.
What is the story behind Archimedes principle?
The Story Behind the ScienceHieron, the king of Syracuse and Archimedes' friend, wanted to know whether his crown was made of solid gold. The king suspected that the gold had been mixed with silver, which is worth less than gold. So he asked Archimedes to try to resolve the question. The solution would have been easy if the king had allowed the crown to be melted down. Since that was no possible, Archimedes had to find another solution to determine the metal content of the crown. Archimedes discovered the answer while at a public bath. He noticed that when he got into the water, it overflowed the tub. By measuring the overflow, he found that the volume-the amount of space a thing occupies-of the spilled water was equal to the volume of his body under water. He realized he could determine the gold content of the crown by measuring the water it would displace against the amount of water displaced by a lump of gold weighing the same as the crown. The crown and lump of gold would each displace the same amount of water if the crown were solid gold. If the crown contained silver, it would displace more water, since the volume of a weight of silver is greater than the volume of the same weight of gold. With this discovery, Archimedes leaped from his bath and in his excitement raced naked down the street toward his home, shouting "EUREKA! I have found it!"Archimedes was the first to develop the physical law that is now known as Archimedes' law. The law explains buoyancy, or why objects seem to lose weight in water or other liquids. This principle has been applied ever since to test precious metals.
What is Archimedes gold demur?
You may be referring to the story of how Archimedes was able to determine if a crown had been made of pure gold (or less-than-pure gold) by measuring how much water the crown and an equal weight of pure gold displaced.
Was Archimedes crown pure gold?
Yes Archimedes crown was pure gold. how they know this is that they weighed the dentisity of the crown.
Who came up with the idea of measuring mass by immersion?
Archimedes of Syracuse thought of this method while taking a bath. He was trying to determine if a golden crown had been tampered with with lesser metals.
If Archimedes had only been able to find a piece of pure gold with a mass one-half that of the crown how could he have determined whether the crown was pure gold?
Archimedes came across concept of density - that is MASS divided by VOLUME. For each substance this ratio is different but a CONSTANT for that substance. Thus the mass you are dealing with is irrelevant if the crown had the same ratio as the piece of pure gold then the crown was pure god, if it did not then the crown was not gold.
Why did Archimedes invent the golden crown?
Archimedes thought that if the gold crown and the gold bar had the same mass and volume, the crown was pure gold and if they didn't, the crown was a fake and the jeweller was a fraud. (I just had to do this for homework. I'm right!)
Why did Archimedes decide that the goldsmith that made the kings crown should be excecuted?
During Archimedes' time in Syracuse, King Hieron, the king of Syracuse and a close friend of Archimedes, commissioned the construction of a beautiful golden crown. When the goldsmith returned the crown, the king suspected him of stealing some of the gold and replacing it in the crown with silver. The king wanted to make sure that he got all of his gold back, so he asked Archimedes to discover the true contents of the crown. If Archimedes could determine the crown's true contents, he could tell the king whether or not the goldsmith gave him all of his gold back. Archimedes pondered this problem for some time, and one fateful morning in the baths of Syracuse he found the answer. Archimedes was stepping into the tub when he noticed that this action caused some of the water in the tub to overflow. He suddenly realized that the volume of the water that was being displaced equaled the volume of his body in the tub. He then ran through the streets of Syracuse naked yelling "Eureka," which means "I found it." He believed that he could measure the volumes of all irregular solids by placing them in water and noting the amount of water displaced. He solved the king's problem by placing equal masses of gold and silver in water. The silver had a greater volume because it displaced more water. That meant that the silver was less dense than the gold because it had the same weight but a larger volume. Archimedes then compared the lump of gold to the crown. The two had the same mass, but when Archimedes measured their volumes, the crown had a larger volume. Therefore, the crown was less dense and not made of pure gold. The king thus knew that the goldsmith had replaced some of the gold in the crown with silver, and he had the goldsmith executed.
How do you measure the density of an irregular object that doesnt float?
Ah, the Eureka question. The original questioner in recorded history was of a Greek king whose crown was supposedly made of pure gold. At least the king had given the jeweler a given weight of pure gold and the new crown weighed exactly that amount when it came back. But, the king became suspicious and wanted to be sure his crown was pure gold and the jeweler had not substituted a baser metal for part of the gold. The king sent for Archimedes who had solved many of the kings problems and asked Archimedes to devise a test for making sure the crown was pure gold. Archimedes thought long and hard over the problem. As the legend goes (and it almost certainly didn't happen this way as Archimedes never wrote about it and the first recording of the legend was about 200 years after Archimedes died), when Archimedes lowered himself into the public baths in Syracuse, the displacement of water from his body caused the bath to overflow, thus giving him the insight in how to measure the volume of an irregular shaped object. Archimedes, according to the legend, then went running naked through the streets of Syracuse yelling "Eureka" which translated means "I have found it." So, to get to your answer, the density of an object is by definition the mass divided by the volume. First obtain the mass of the object, usually by weighing it. Now determine the volume by immersing your object into a full container of water and either measuring the amount of water that overflows out of the container, or preferably (at least to my mind) measuring how much water it takes to refill the container. Divide the mass by the volume and you have the density.
Is the Archimedes crown story true?
The story of the Archimedes crown is likely a legend as there is no concrete historical evidence to support its veracity. It is often recounted as a popular anecdote to highlight Archimedes' intelligence and ingenuity.
If Archimedes had only been able to find a piece of pure gold with a mass one half that of the crown how could he have determined whether the crown was pure gold?
Archimedes came across concept of density - that is MASS divided by VOLUME. For each substance this ratio is different but a CONSTANT for that substance. Thus the mass you are dealing with is irrelevant if the crown had the same ratio as the piece of pure gold then the crown was pure god, if it did not then the crown was not gold.
