Pendulum Trials: Model Angular Frequencies 3. Describe your experimental setup for the pendulum (include diagrams as needed). A golf ball attached to a string is tied to a fixed, vertical bar with a meter stick attached to it. A similar equation will from the vertical spring model will be used (sqrt(g/l)) and 2pi(fobs)). The ball will be released at an angle no greater than 15 degrees. One released we will record the time it takes the ball to complete 10 oscillations at 4 different lengths of the pendulum. Then we will calculate the %Error of our angular frequencies. Record the lengths of each pendulum you used. Calculate the theoretical angular frequency for each length L in the table at right. Include an example calculation below. Wtheory sqrt (9.81/0.115) Wtheory 9.23 rad/sec Length 1 Wtheory rad/sec L = 0.115 m Length 2 Wtheory rad/sec L = 0.200 m Length 3 Wtheory = rad/sec L3 = 0.270 Length 4 Wtheory = rad/sec L = 0.30 4. Record the time required to complete 10 periods of oscillation for each setup. Compute the observed angular frequency from these times and the percentage error from these and your theoretical predictions in question 3. Pendulum Trials: Model Compare results to your predictions. Discuss possible sources of error (and which error(s) you think is/are most likely and why). Length 1 10T = 7.10 s Wobs = rad/sec L = 0.115 m % Error = % Length 2 10T 9.6 s Wobs L = 0.200 m % Error = 13.85% Length 3 10T = 10.915 Wobs = L3 = 0.27 m % Error = % Length 4 10T = 11.465 Wobs= L = 0.30 m % Error = % 5