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MOUNTAIN PEAKS REPORTER:LAZARE OSMANOV TEAM:GEORGIA.

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Presentation on theme: "MOUNTAIN PEAKS REPORTER:LAZARE OSMANOV TEAM:GEORGIA."— Presentation transcript:

1 MOUNTAIN PEAKS REPORTER:LAZARE OSMANOV TEAM:GEORGIA

2 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

3 PLAN Some Different Methods Radiological Method GPS
Pressure Measuring Method Two Geometrical Methods Theoretical Model Mathematical physical Experiments Relative Errors Comparison Conclusion

4 RADIOLOGICAL METHOD GPS

5 THEORETICAL MODEL z Z IYNT

6 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

7 z+dz dz z IYNT

8 MORE DETAILS f_HUMIDITY IYNT

9 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

10 COMPARISON Measured Height Theoretical Height 2569 2661
2140 2104 Measured Height Theoretical Height 1712 1798 IYNT

11 TRIANGULATION METHOD D H A B C IYNT

12 Experimental Setup

13 RELLATIVE ERROR Distance Tan a Tan b Real High Theoretical Result
0.579 0.228 0.77 2.04 2.1 IYNT

14 COMPARISON Measured height Theoretical height 23.8m 22.93m

15 CAMERA METHOD k1-amount of pixels on the first photo
K2-amount of pixels on second photo K-total pixels AD-distance of points

16 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

17 COMPARISON Measured height Theoretical height 158.4m 157m

18 EXPERIMENTS

19 EXPERIMENTS

20 REFERENSES https://en.wikipedia.org/wiki/Triangulation

21 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

22 THANKS FOR ATTENTION


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