Evaluation of various velocity averages from Pitot tube data. Following are some experimental data¹ for a Pitot tube traverse for the flow of water in a pipe of internal radius 3.06 in.: Plot these data and find out whether the flow is laminar or turbulent. Then use Simpson's rule for numerical integration to compute (v) / v _max, (v²) / v _max, and (v ³)/ v³_max. Are these results consistent with the values of 50/49 (given just before Example 7.2-1) and 43200/40817 (given just before Example 7.4-1)?

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Distance from tube center (in.) Local velocity (ft/s) Distance from tube center (in.) Local velocity (ft/s) Position Position 2.80 2.17 1.43 7.85 0.72 11.70 11.47 1.43 2.17 10.39 11.31 11.66 3 4 11.10 9.26 2.80 0.72 0.00 11.79