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Contriction Devices - Trial 1 2 3 4 5 6 7 Table 1 Data Flow...

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Table 1 - Data, Flow Calculations, Reynold's Number, and K Calculated Manometer reading (inch) Scale readings (lb) Trial Left Right Start Finish Weight Time (s) Q (cfs) K Re 1 6.6 14.4 7.8 2.79 200 595 395 180 0.035 6.470 1.01 43992 2 1.3 19.2 17.9 4.23 240 840 600 180 0.053 9.801 1.01 66824 3 -1.4 21.8 23.2 4.82 250 935 685 180 0.061 11.158 1.02 76291 4 -3.5 23.8 27.3 5.22 260 1035 775 180 0.069 12.104 1.06 86314 5 -7.2 27.1 34.3 5.86 255 1115 860 180 0.077 13.567 1.05 95781 6 -11.4 31.1 42.5 6.52 420 1365 945 180 0.084 15.102 1.04 105247 7 -16.3 33.1 49.4 7.03 295 1310 1015 180 0.090 16.282 1.03 113044 Sum = 0.46964 Sum = 587493 Venturi Diameter= 1.2 in = 0.1 ft Ao = 0.01 ft^2 Table 2 - Statistical Calculations for Constrained Case Trial Q Ye=a+bxi (Ye-Yavg)^2 (Yi-Yavg)^2 (Yi-Ye)^2 1 2.79 0.035 0.1 7.8 0.04 1.02E-03 1.02E-03 3.19E-12 a= -0.00170 2 4.23 0.053 0.23 17.9 0.05 1.68E-04 1.87E-04 5.30E-07 b= 0.01320 3 4.82 0.061 0.29 23.2 0.06 2.72E-05 3.73E-05 7.98E-07 C= 0.01288 4 5.22 0.069 0.36 27.3 0.07 3.16E-08 3.64E-06 2.99E-06 5 5.86 0.077 0.45 34.3 0.08 7.25E-05 8.98E-05 9.21E-07 6 6.52 0.084 0.55 42.5 0.08 2.98E-04 2.90E-04 4.79E-08 Qavg=Yavg 0.06709 7 7.03 0.090 0.64 49.4 0.09 5.75E-04 5.42E-04 5.03E-07 5.20994 Sum 36.47 0.47 2.61 202.40 0.47 2.16E-03 2.17E-03 5.79E-06 36.47 Table 3 - Statistical Calculations for Unconstrained Case Trial Q Yi=log Q XiYi Xi^2 Ye=a+bxi (Ye-Yavg)^2 (Yi-Yavg)^2 (Yi-Ye)^2 K 1 7.8 0.035 0.892 -1.454 -1.297 0.796 -1.428 6.93E-02 8.34E-02 6.52E-04 0.952 2 17.9 0.053 1.253 -1.272 -1.594 1.570 -1.242
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