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# MP1-1 - -1 Tabulate the standing wave frequencies f and the...

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-1: Tabulate the standing wave frequencies, f, and the resonance order, m, measured in parts V(2) and V(3). m foo(Hz) m Foc(Hz) 2 107 1 79 4 215 3 178 6 321 5 285 8 429 7 394 10 535 9 504 12 650 11 615 14 751 13 723 16 862 15 834 18 978 17 952 20 1083 19 1058 -2: Using Excel, plot the data taken in V(2). With the LINEST function (as described in the tutorial) calculate the slope and the uncertainty in the slope of this data. From the slope and uncertainty in that slope calculate the speed of sound, and the uncertainty in the speed of sound σVs . Report your answer as ± Vs σVs Foo(Hz) Slope 54.27576 Uncertainty in Slope 0.184438 L = 1.52 + 1.20 X 0.039 = 1.57 m Vs = 4LS = 4 X 1.57m X 54.27576/s = 341 m/s σVs = 4LS = 4 X 1.57m X 0.183338/s = 1.15 m/s ± Vs σVs = (341 ± 1) m/s -3: Repeat -2 for the data taken in step V(3) Foc(Hz) Slope 54.763636 Uncertainty in Slope 0.2774093 L = 1.52 + 0.60 X 0.039 = 1.52m Vs = 4LS = 4 X 1.52m X 54.763636/s = 333 m/s σVs = 4LS = 4 X 1.52m X 0.2774093/s = 1.69 m/s ± Vs σVs = (333 ± 2) m/s -4: Tabulate the results of step V(4) for both the open-open(m=4) case and the open-closed (m=5) case. Plot and compare your data to the appropriate standing wave sketch in figure 1.

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