Question

Graphing Data Report . Sheet Report Sheet Graphing Data Data Length (cm) Total time (sec) Period (sec) 0 10 20 40 60 80 100 Slope of L vs. T plot: Intercept of L vs. T plot: Questions 1) Calculation of g (include all steps) Percent error from 980 cm/s (show work) 2) Length of a 1.00 sec simple pendulum Show work, or provide an explanation for how the length was determined

Answer 1

no of oscillation = 10 (i) slope of L v s middot T^2 plot: - = 50/2 = 25 (ii) intercept of L v s T^2 plot: - = 0, 0 Q (i) calculation of g because T = 2 pi squareroot l/g l = (g/4 pi^2) T^2 slope = g/4 pi^2 = 25 g = 25 times 4 pi^2 = 9865 percent error = delta g/g times 100 delta g = 986 - 980 = 6 delta g/g times 100 = 6/980 times 100 = 0.6 % Q(2) T = 2 pi squareroot l/g l (length) = g T^2/4 pi^2 l = 980 times 1^2/4 pi^2 = 25 cm (if T = 1 sec) l = 980 times 2^2/4 pi^2 = 99 cm (if T = 2 sec)