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MOUNTAIN PEAKS REPORTER:LAZARE OSMANOV TEAM:GEORGIA
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PROBLEM What methods are used to determine the elevation of the World’s highest mountains? Suggest your own experimental method and determine the height of a mountain or a hill of your choice
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PLAN Some Different Methods Radiological Method GPS
Pressure Measuring Method Two Geometrical Methods Theoretical Model Mathematical physical Experiments Relative Errors Comparison Conclusion
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RADIOLOGICAL METHOD GPS
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THEORETICAL MODEL z Z IYNT
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IDEAL GAS EQUATION PV=nRT n_ Amount of Moles V_Volume of Air
n_ Amount of Moles V_Volume of Air T_ Air Temperature q_ Air Density R_ Gas Constant IYNT
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z+dz dz z IYNT
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MORE DETAILS f_HUMIDITY IYNT
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MEASEURED QUANTITIES Z P(m) T f 1993 81kpa 278K 41% 2150 79kpa 273K
28% 2687 75,4kpa 272K 27,5% 2724 74,8kpa 59,5% 2848 73,5kpa 265K 46,5% 3006 72,4kpa 263K 33,5% IYNT
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COMPARISON Measured Height Theoretical Height 2569 2661
2140 2104 Measured Height Theoretical Height 1712 1798 IYNT
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TRIANGULATION METHOD D H A B C IYNT
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Experimental Setup
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RELLATIVE ERROR Distance Tan a Tan b Real High Theoretical Result
0.579 0.228 0.77 2.04 2.1 IYNT
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COMPARISON Measured height Theoretical height 23.8m 22.93m
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CAMERA METHOD k1-amount of pixels on the first photo
K2-amount of pixels on second photo K-total pixels AD-distance of points
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RELLATIVE ERROR A.O.P.I.T.F.P T.P Tan a R.H T.H 3096 2072 3857 0.892
4.45m 4.5m
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COMPARISON Measured height Theoretical height 158.4m 157m
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EXPERIMENTS
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EXPERIMENTS
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REFERENSES https://en.wikipedia.org/wiki/Triangulation
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CONCLUSION Theoretical models are written Pressure measuring method
Two geometrical methods Experiments Have Been Performed I compared measured and theoretical results Relative Errors are written I’ve done a significant part of problem
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THANKS FOR ATTENTION
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