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.
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.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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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