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#1 |
Bronze Medalist
Jan 2004
Mumbai,India
22×33×19 Posts |
![]() ![]() a UNIVAC 1108 at its own game -number crunching. She is Shakuntala Devi whom I have had the good fortune to have met on 3 occasions! A smaller replica of the Eiffel Tower is to be made in the same metal as the tower i.e. Iron/Steel. These are the particulars: It is 300 metres high The total weight is 8,000.000 Kg Same material to be used, only 1 Kg. How high do you make the height of the scaled down model? ![]() Mally ![]() |
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#2 | |
Bamboozled!
"๐บ๐๐ท๐ท๐ญ"
May 2003
Down not across
1166210 Posts |
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of the linear dimension. So the linear dimension of the model must be (1/8000000)^{-3}, or 1/200. Therefore the model must be 300/200m high, or 1.5m. Paul |
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#3 |
Bronze Medalist
Jan 2004
Mumbai,India
80416 Posts |
![]() ![]() Mally ![]() |
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#4 |
Aug 2003
Upstate NY, USA
2×163 Posts |
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Two technicalities
1) The problem statement mixing notation 8,000.000kg read to me as 8,000kg instead of 8,000,000kg 2) The scale factor is (1/8,000,000)^(1/3), not (1/8,000,000)^(-3) |
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#5 | |
Bamboozled!
"๐บ๐๐ท๐ท๐ญ"
May 2003
Down not across
2·73·17 Posts |
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Paul |
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#6 | |
Bronze Medalist
Jan 2004
Mumbai,India
80416 Posts |
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In the 1st point its easier to spot the cube root in my notation. For that matter a large quantity like that could be expressed as 8 kilo tonnes (metric). Mally ![]() |
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