True and False Crown
Mechanics in Motion · Interactive
- DimensionsSubject to on-site plan
- PresentationInteractive
- PricingQuoted by manufacture spec
Purpose & Scientific Principle
The exhibition introduces one of Archimedes’ academic achievements in physics—the buoyancy principle—by reinterpreting the story of Archimedes’ discovery of the buoyancy principle. It aims to show scientists’ dedication to exploring scientific truths and to describe the foundation that this discovery laid for the development of fluid statics in later generations.
How to Operate
The story of the discovery of the principle of buoyancy: One day, when he was concentrating on thinking, the servant asked him to take a bath. This time the servant filled the tub too full, and when he sat in the tub a lot of water overflowed. He looked absentmindedly at the overflowing water, suddenly enlightened. He realized that the volume of the spilled water should be exactly equal to his own volume. If he immerses the crown in water, the volume of the crown can be determined based on the rise of the water surface. If you take a piece of gold with the same weight as the crown and soak it in water, you can know whether its volume is the same as the crown. If the crown is larger, it means it is adulterated. When Archimedes thought of this, he was very excited. He immediately jumped up from the bathtub and ran out naked. As he ran, he shouted: "Eureka, Eureka (Greek: discovered, discovered)." Archimedes' "Eureka" shouted out the surprise when humans discovered the mysteries of nature. It is to commemorate this event that the most famous invention fair in the modern world was named after "Eureka".
Principle and formula of buoyancy: Based on this experience in the bathtub, Archimedes further summarized the principle of buoyancy: the upward buoyancy force experienced by an object immersed in a liquid is equal to the weight of the liquid displaced by the object. This principle quantitatively gives the magnitude of buoyancy and is one of the basic principles of hydrostatics. Buoyancy formula: F float = F down - F up. Archimedes' principle formula: F float = G row = ρgV. F float = G object. This formula is only true when the object is suspended or floating on the surface of the liquid. When ρ object is smaller than ρ liquid, the object floats. When the object is suspended, ρ object = ρ liquid. Force analysis: F float = G object - F pull. The object is in equilibrium under buoyancy, gravity, and downward pressure. Then the buoyancy formula is: F float = G object F pressure.
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