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Q: Is the speed in a crown and pinion increased decreased or constant?
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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?

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.


The part of the tooth that is visible above the gum line is called what?

crown


What is the average density of the crown?

15009


What has the highest index of refraction a vacuum a diamond air or crown glass?

A diamond has the highest index of refraction, about 2.4 Crown glass is about 1.5 and a vacuum is 1


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.