1- It is said that Archimedes discovered his principle during a bath while thinking about how he could determine if King Hiero's crown was actually made of pure gold. While in the bathtub, he conceived the idea that he could determine the average density of an irregularly shaped object by weighing it in air and also in water. If the crown weighed 3.55 kgf (= 34.8 N) in air and 3.25 kgf (= 31.9 N) in water, determine if the crown is made of pure gold. The density of gold is 19,300 kg/m3. Discuss how you can solve this problem without weighing the crown in water but by using an ordinary bucket with no calibration for volume. You may weigh anything in air.
1- It is said that Archimedes discovered his principle during a bath while thinking about how he could determine if King Hiero's crown was actually made of pure gold. While in the bathtub, he conceived the idea that he could determine the average density of an irregularly shaped object by weighing it in air and also in water. If the crown weighed 3.55 kgf (= 34.8 N) in air and 3.25 kgf (= 31.9 N) in water, determine if the crown is made of pure gold. The density of gold is 19,300 kg/m3. Discuss how you can solve this problem without weighing the crown in water but by using an ordinary bucket with no calibration for volume. You may weigh anything in air.
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter9: Mass And Mass-related Variables In Engineering
Section: Chapter Questions
Problem 19P
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Transcribed Image Text:1- It is said that Archimedes discovered his principle during a bath while thinking about how he
could determine if King Hiero's crown was actually made of pure gold. While in the bathtub, he
conceived the idea that he could determine the average density of an irregularly shaped object
by weighing it in air and also in water. If the crown weighed 3.55 kgf (= 34.8 N) in air and 3.25
kgf (= 31.9 N) in water, determine if the crown is made of pure gold. The density of gold is
19,300 kg/m3. Discuss how you can solve this problem without weighing the crown in water but
by using an ordinary bucket with no calibration for volume. You may weigh anything in air.
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