Physics Experiment 4 Lab Report

Data 3/9

Discussion Results of problems. All work is shown in data analysis. Number Problem Answer a) Estimate σ λ and σ ρ from the measuring tools. σ λ = +/- 0.01 % σ ρ = 0.005 % b) Compute L from λ + ρ. L = 0.853 m c) Calculate g from Eqn. (1). g = 9.95 m/s 2 d) Examine Appendix C and propagate σ λ and σ ρ to find σ L . σ L = 0.051 e) Convert σ L into %σ L . %σ L = 0.060 % f) Examine Appendix C and from the percent error in τ, propagate to find the %σ τ 2 . %σ τ 2 = 0.786 % g) Examine Appendix C and propagate to find the (%σ L )/(τ 2 ). (%σ L )/(τ 2 ) = 0.788 % h) Examine Appendix C and find the relationship between %σ g and (%σ L )/(τ 2 ). %σ g ≈ (%σ L )/(τ 2 ) i) Convert %σ g into σ g . σ g = 0.0079 a) Calculate d = | g e - g th | , where g th is 9.792 m/s 2 and g e is the experimental. d = -0.158 b) Examine Appendix C and propagate σ gth and σ ge to find σ d . σ d = 0.0093 6/9

Conclusion The experiment collected data from a pendulum swinging and then used that data to find the pendulum's period. Then, that was used to find the errors in the experiment and combine them through the means of propagation to find if the discrepancy between the theoretical and experimental was less than the total error. The discrepancy was -0.158 and the total error was 0.0093 causing the experiment to be a success. My lab partner and I contributed equally to conducting the experiment, by taking turns setting up the pendulum, collecting data, and calculating the errors together. 9/9