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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?
Wiki User
∙ 6y ago
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.
Wiki User
∙ 6y ago
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When do you stumble across the answer to a problem?
Solutions to problems can 'hit' you at any time. Take Archimedes for example. He was asked to determine whether a crown that had been made for King Hiero II, was as pure as the gold that had been supplied to make it, or if some silver had been substitued. The only problem Archimedes had - was that he was not allowed to damaging the crown. While taking a bath, he niticed the water level changed as got in and out - and realized that this level change could be used to find the volume of the crown. The submerged crown will displace the same amount of water as its own volume. Dividing the mass of the crown by the volume of displaced water, gives the density of the crown. The density would be lower if cheaper metal were added. Archimedes was so xcited by his discovery, he apprently leapt from his bath, and ran naked through the streets to the palace, crying 'Eureka !' (Greek for 'I have found it'). The same test was conducted on the crown - successfully proving that silver had been mixed in with the gold.
Who invented the law of displacement?
The mathematician Archimedes of Syracuse.The most common story (which was first told by Vitruvius but doesn't pop up in Archimedes' known works) goes that King Hiero II had a votive crown forged for a temple, and he supplied the pure gold the goldsmith was to use. However, when he got the crown, the King asked Archimedes to determine whether the goldsmith had used all of the gold supplied or substituted silver for some of the gold. Archimedes couldn't melt the crown down into a regular shape to find its density, because he had to leave the crown intact, so he puzzled over the problem for some time. While taking a bath one day, he noticed that the water level rose as he stepped in, and realized that he could use this effect to solve the problem, and supposedly ran through the streets screeching "εὕρηκα!" (heureka!, Greek for "I've found it!") naked. When he performed the test with the crown, he found that the goldsmith had indeed substituted silver for some of the gold.
What did Archimedes discover concerning water and volume?
Archimedes discovered the law of hydrostatic displacement. Supposedly, in trying to determine how to find the density of the ruler's crown, he was perplexed by the problem. He decided one night to take a bath and, while sitting down in the bath water, he noticed that the water level went up. From this, he realized that the amount of water displaced was equal to the volume of his body immersed in the water. From mass and volume, density can be determined, and he could differentiate between different metals due to densities.
How was buoyancy invented?
Buoyancy wasn't invented by anyone, but it was first discovered by Archimedes. He never considered about buoyancy until one day, he had to help the King solve a problem, which got him stirred about buoyancy.Bouyancy has always been around. Archimedes simply understood it when he saw the bath water rise as he got in the bath.As the story goes, the king wanted to know if the goldsmith alloyed some silver in with his crown, and asked Archimedes to find out. Archimedes thought about this and one day discerned the principle at the bath. It is claimed that he jumped out and ran back to him home naked shouting Eureka!He took a lump of gold with the same mass as the crown, and a lump of silver the same mass as the crown. He then measured the displacement of water by the gold, by the crown, and by the silver. He discovered that the crown displaced more than the gold, but less than the silver. He concluded that the crown was not pure gold, and must therefore have been alloyed with silver. The king promptly executed the goldsmith.
What contributions did Archimedes have on science?
-The Archimedes Screw - How to find the measurement of a circle/how to find the volume of a solid -Mathematically explained how the lever works -Invented the western version of the odometer -Established the foundations of hydrostatics -Established laws pertaining to mechanics, buoyancy and specific gravity - and many more!!!
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.
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.
Which Greek polymath used buoyancy to check whether a gold crown was genuine?
Archimedes (of Syracuse).
Was Archimedes crown pure gold?
Yes Archimedes crown was pure gold. how they know this is that they weighed the dentisity of the crown.
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.
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.
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.
Who is Archimedes cousin?
Surprisingly it was King Hiero! That is why the king had called Archimedes first about his problem with his crown.
How did Archimedes solve the gold crown problem?
hi
How was density used to detect fraud?
Archimedes was told by the king to find out if his crown was made of pure gold, calculating the density of the crown, Archimedes found it to be a mix of gold and silver.
What is a hydrostatic balance that Galileo invented?
The hydrostatic balance was an accurate balance that could weigh objects both in water and in the air. Galileo got the idea from the "Eureka" story about Archimedes and the King of Syracuse's crown in which Archimedes had to prove if the king's crown was made of real gold or not. Galileo used some of Archimedes ideas and built his own invention which he called the hydrostatic balance.
