Transverse Waves Frequency of Vibration - MAPUA INSTITUTE...

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MAPUA INSTITUTE OF TECHNOLOGY Department of Physics E303: Transverse Wave: Frequency of Vibration GONZALES, Gabriel R. [email protected]/2014151884/CE-2 PHY12L-B2 Group 4 24 th of May, 2016 E303: TRANSVERSE WAVE: FREQUENCY OF VIBRATION SCORE Signed Data Sheet (5) = ____ Observations & Results (15) = ____ Graphs (10) = ____ Conclusion (15) = ____ References (5) = ____ Photos (10) = ____ Performance (40) = ____ TOTAL (100) = ____
Gonzales, Gabriel R. 1 School of Civil, Environmental and Geological Engineering , Mapúa Institute of Technology 658 Muralla St., Intramuros, Manila City, Philippines [email protected] OBSERVATIONS AND RESULTS After gathering enough data for the first part and the second part of the experiment, results were yielded using the formula on getting the frequency of vibration, equation (1): f exp = n 2 L T μ (1) This formula is the only formula that is used in this experiment and that all the variables given in the formula can be achieved by observing the experiment. The variables in this formula represents; n as the number of segments, L as the length of string with complete number of segments, T as the tension or the force in the string, and lastly μ as the linear mass density of the wire. The results of the experiment can be seen in the table (1) below. Table 1: Determining the frequency of vibration (constant linear mass density) Trial Frequency of vibration 1 71.9132 Hz 2 74.4253 Hz 3 75.1369 Hz 4 74.3851 Hz 5 78.1929 Hz average frequency of vibration 74.8107 Hz actual value of frequency of vibration 89.9 Hz % error 16.785% Sample Computation For trial 1; T = 53900 dynes ( cm s 2 ) , n = 5, L = 59.5 cm , μ = 0.0184 , f act = 89.9 Hz Using equation (1): f exp = n 2 L T μ f exp = 5 2 ( 59.5 cm ) 53900 ( cm s 2 ) 0.0184 f exp = 71.913 Hz
Error = | 89.9 71.913 | 89.9 x 100 = 20 In the first part of the experiment, the linear mass density is constant meaning the same wire is used all throughout and the one that differ is the force in the wire. On the second part of the
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