Archimedes and golden crown 2 part question

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In summary, Archimedes was a Greek mathematician, physicist, engineer, and inventor who lived in the 3rd century BC. He is considered one of the greatest mathematicians of all time and is famous for his contributions to the fields of geometry, hydrostatics, and mechanics. The story of Archimedes and the golden crown is a legend that describes how he used the principle of buoyancy to determine if a crown was pure gold without damaging it. Archimedes also made significant contributions to the fields of mathematics, including the development of levers and pulleys, calculations of surface areas and volumes, and understanding of pi and integral calculus.
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ramly
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The weight in the air of the crown and the piece of solid gold is the same

1) If the crown is made of gold and silver (density is less than that of the gold) is the apparent weight of the crown in water greater than, equal to, or less than that of the solid gold? Why?

2) What if the crown is made of gold and platinum, which has the higher density than gold?
 
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  • #2
Well, what do you know about buoyant forces?
 
  • #3
Not much :/
 

Related to Archimedes and golden crown 2 part question

1. Who was Archimedes and why is he important?

Archimedes was a Greek mathematician, physicist, engineer, and inventor who lived in the 3rd century BC. He is considered one of the greatest mathematicians of all time and is famous for his contributions to the fields of geometry, hydrostatics, and mechanics.

2. What is the story of Archimedes and the golden crown?

The story goes that the king of Syracuse, Hiero II, suspected that a goldsmith had cheated him by making a crown with some silver mixed in. He asked Archimedes to find a way to determine if the crown was pure gold without damaging it. Archimedes supposedly discovered the principle of buoyancy while taking a bath and used it to solve the problem.

3. What is the principle of buoyancy and how did Archimedes use it to solve the problem of the golden crown?

The principle of buoyancy states that the upward force exerted on an object immersed in a fluid is equal to the weight of the fluid that the object displaces. Archimedes used this principle to determine the volume of the crown and compare it to the volume of an equal weight of pure gold. If the crown had a greater volume, it meant that it was less dense and therefore contained silver. This allowed him to prove that the crown was indeed impure.

4. Is the story of Archimedes and the golden crown historically accurate?

The story of Archimedes and the golden crown has been passed down through the ages and is considered a legend. While there is no concrete evidence to prove its accuracy, the principle of buoyancy and the concept of density have been attributed to Archimedes and are still used in science and engineering today.

5. What other contributions did Archimedes make to the field of mathematics?

In addition to his work on buoyancy, Archimedes is also credited with developing the concepts of levers and pulleys, as well as creating methods for calculating surface areas and volumes of different shapes. He also made significant contributions to the understanding of pi and the development of integral calculus.

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