Answer Happy

Problem 1: Determine String's Linear Density using ‘Standing Waves' Experimental Setup (10 points). One end of the string from the post near the motor drive oscillator was tied, and the other end was passed over the pulley and m=1.0 kg mass was hung from it. Using function generator to vary the oscillator's frequency, the appropriate wavelengths were recorded for n=1, 2, 3, 4 modes. Also, for graphing purposes a column of reciprocate of frequency was created as well. (see below): 1/Frequency (s) Row Frequency (Hz) # 1 2 3 4 51.0 101 150 199 Wavelength (m) 0.019608 3.65 0.009901 1.82 0.006667 1.21 0.005025 0.92
b. Using your data plot the wavelength (y-axis) as a function of reciprocate of frequency (x- axis) in Excel program. Apply the 'TrendLine' graphical feature to your plot. Answer the following questions: [5 points] What function best fits your data? O O Write down the equation of this function (you can get it using 'display equation' feature in excel 'Format trendline' options). You do not need to print or report the graph. o Using the best-fit function's equation identify and write below the wave's propagation speed for your set-up. O Compare this result with the obtained in Prob. 1a result of waves speed by applying Percent Diff. formula (200*(value1-value2)/(valuel+value2)) [5 pt.]