Answer Happy

ollowing are the data obtained from a pendulum period experiment for different lengths of pendulum. Length(cm) 50 60 um 70 80 90 frequency, f (Hz) 0.70 0.63 0.59 0.55 0.53 0.50 7 100 A. Plot a graph of the square of the period (T=1/f) vs length in meter. (5 points) B. Obtain the best fit and measure the slope of the graph. Show slope calculation in the graph. (5 points) C. If the period of the pendulum oscillation is related to the equation T = 2 a where l is the pendulum length and g is acceleration due to gravity, obtain the value of g from the measured slope. (5 points) D. Using the standard value of g =9.8m/s calculate the % difference between your values and standard value. (4 points) E. If the height of the pendulum at maximum amplitude is given by h=L(1-Cose) calculate the potential energy corresponding to an angle of 35 degree, L=30cm, mass of pendulum = 60gram. What is the kinetic energy at the equilibrium point? Is energy conservation valid here?(6 points)