When Approximations Fail Lab Report - When Approximations Fail PreLab Exercises A mass of 0.250 0.001 kg is connected to the end of a light chord to

When Approximations Fail Lab Report - When Approximations...

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When Approximations Fail PreLab Exercises A mass of 0.250 ± 0.001 kg is connected to the end of a light chord to make a pendulum. The length between the pendulum’s axis of rotation and the mass is measured to be 0.800 ± 0.005 m. 1. Calculate the expected frequency of oscillation ࠵? ± ࠵?࠵? for small angle oscillations of the pendulum. Assume that g is exactly known to be 9.81 ࠵? / ࠵? ࠵? . Work: ࠵? = ! ! = ! . !" . !"" = 3 . 502 ࠵?࠵?࠵? / ࠵? , angular frequency !" !" = ! ! ! !" ࠵? × ࠵? ! ! ! = ! ! ࠵? ! ! ! ࠵? , angular frequency uncertainty ࠵?࠵? = 1 2 ࠵? ! ! ! ࠵? 0 . 005 ! = ± 0 . 011 Answer: ࠵? = 3 . 502 ± 0 . 011 ࠵?࠵?࠵? / ࠵? 2. The angular position of a pendulum is measured using a Vernier rotary motion sensor. The data collected are the opening angle of the pendulum– with respect to vertical – measured in units of radians. The data are fit as shown in Figure 3.4.