Nt1310 Unit 6 Lab Report

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ME 3057 - EXPERIMENTAL METHODOLOGY & TECHNICAL WRITING

Report/Worksheet/Writing Task: Lab number 2 Full Report: Partial Report: X (Please check one.)
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NAMES : Matthew Carson, , ,

Date Turned In: 02/07/2010 Date Returned by TA: ____________________

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8) where T is the period of the pendulum and ωn is the natural frequency. The natural frequency can be calculated using Equation 9 ωn=mgh'I (Eq. 9) where h' is distance between the pivot point and the mass center of the pendulum and I is the moment of inertia of the pendulum about the pivot point. Equation 10 and 11 are used to calculate h' and I for the pendulum h'=d2+h+dh (Eq. 10) I=12mbl2+w2+mbh+d22-38mhd2 (Eq. 10) where mb is the mass of the pendulum without the hole and mh is the mass of the hole. mb and mh are found using density and volume in Equations 11 and 12. mb=ρlwt (Eq. 11) mh=ρπd24t (Eq. 12) Using Equation 8 the theoretical period is found 0.886 s. The mean and the 95 % confidence interval of the period for the optical sensor and the stopwatch for one cycle, three cycles, and twenty-five cycles are displayed in Table 6. Table 6. Mean and 95% Confidence Interval of the period | Mean (s) | 95% Confidence Interval (s) | Optical Sensor | 0.8911 | 0.0040 | 1 Cycle | 0.81 | 0.22 | 3 Cycle | 0.87 | 0.22 | 25 Cycle | 0.90 | 0.13 | The mean periods and associated errors found in Table 6 are compared in Figure
Time and Period Measured from Optical Sensor and Stopwatch Total Measured Time (s) | Period (s) | 1 cycle | 3 cycles | 25 cycles | Oscilloscope | 1 cycle | 3 cycles | 25 cycles | 0.88 | 2.66 | 22.28 | 0.8920 | 0.88 | 0.89 | 0.89