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MAPUA INSTITUTE OF TECHNOLOGYDepartment of PhysicsE303: Transverse Wave: Frequency of VibrationGONZALES, Gabriel R.[email protected]/2014151884/CE-2PHY12L-B2 Group 424thof May, 2016E303: TRANSVERSE WAVE: FREQUENCY OF VIBRATIONSCORESigned Data Sheet (5)=____Observations &Results(15)=____Graphs(10)=____Conclusion (15)=____References(5)=____Photos (10)=____Performance(40)=____TOTAL(100)=____
Gonzales, Gabriel R.1School of Civil, Environmental and Geological Engineering, Mapúa Institute of Technology658 Muralla St., Intramuros, Manila City, Philippines[email protected]OBSERVATIONS AND RESULTSAfter gathering enough data for the first part and the second part of the experiment, results wereyielded using the formula on getting the frequency of vibration, equation (1):fexp=n2L√Tμ(1)This formula is the only formula that is used in this experiment and that all the variables given inthe formula can be achieved by observing the experiment. The variables in this formularepresents; nas the number of segments, Las the length of string with complete numberof segments, Tas the tension or the force in the string, and lastly μas the linear massdensity 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)TrialFrequency of vibration171.9132 Hz274.4253 Hz375.1369 Hz474.3851 Hz578.1929 Hzaverage frequency of vibration74.8107 Hzactual value of frequency of vibration89.9 Hz% error16.785%Sample ComputationFor trial 1;T=53900dynes(cms2),n=5,L=59.5cm ,μ=0.0184, fact=89.9HzUsing equation (1):fexp=n2L√Tμfexp=52(59.5cm)√53900(cms2)0.0184fexp=71.913Hz
Error=|89.9−71.913|89.9x100=20In the first part of the experiment, the linear mass density is constant meaning the same wire isused all throughout and the one that differ is the force in the wire. On the second part of the