Presentation on theme: "Leverage. buoyancy The screw pump Archimedes (287 B.C. – 212 B.C.)"— Presentation transcript:
The screw pump
Archimedes (287 B.C. – 212 B.C.)
Eureka! Characters? King Hiero (308 B.C. – 215 B.C.) The goldsmith Archimedes (287 B.C.-212 B.C.) Place: The Kingdom of Syracuse
Eureka! Q: What did the king want? The biggest crown.
Eureka! Q: Why did he want the biggest crown? Because the country he reigned over was too small. vs.
Eureka! Q: “Be sure that you put into it every grain of the gold I give you, and do not mix any other metal with it.” Why did the king give the goldsmith this reminder? He was careful about every grain he had (maybe because of the size of the country).
Eureka! Q: How many days did it take the goldsmith to fashion the bling bling gold crown? Ninety days.
Eureka! Q: “When King Hiero put it on his head, it felt very uncomfortable, but he did not mind that—he was sure that no other king had so fine a headpiece.” He could ignore the practical things just to get the biggest crown in the world. Vanity overtook him.
Eureka! Q: One move showed King Hiero was practical. What was that? He put the crown on a scale to see if it was exactly ten pounds.
Eureka! Q: Why did the king invite Archimedes into the palace? To admire the crown, not to judge the crown!
Eureka! What was Archimedes’ observation? The gold was a brilliant yellow, rather than the same rich red color that it had been in the lump. vs.
Eureka! Q: Did he say that the crown was a fake? No! Q: Why not? That might annoy the king and threatened his life.
Eureka! Q: How did he express his doubts? He showed his concern. “What if the goldsmith has kept out a pound or two of the gold and made up the weight by adding brass or silver?”
Eureka! Q: Why did the king respond to Archimedes by saying “The gold has merely changed its color in the working.” He justified the goldsmith. (In a sense, he was defending himself.)
Eureka! Q: What was the difficulty for Archimedes to prove whether the crown was made of pure gold? To test the purity of gold in the crown without damaging it.
Eureka! Where did he come up with the solution? In the bathtub.
Eureka! Q: What was the solution? “Since gold is much heavier (has higher density) than silver, 10 pounds of pure gold will not make so great a bulk (the volume) that 7 pounds of gold, mixed with 3 pounds of silver.” 10 pounds ＜ 7 pounds of gold + of gold 3 pounds of silver
Eureka! In other words, the volume of 10 pounds of pure gold (in the crown) will be the same as that of 10 pounds of pure gold (in the lump). 10 pounds of 10 pounds of pure gold = pure gold in the crown in the lump
Eureka! What did Archimedes holler when the solution dawned on him? Eureka! Eureka! ”
Eureka! Q: What happened to the goldsmith in the end? He was proved guilty (and might be beheaded).
Eureka! Now, please give as many adjectives as you can to describe Archimedes’ characteristics.