Ap Physics Pendulum Lab

For Lab 1, my partner and I will be demonstrating the law in which connects the period of the pendulum, expressed as T, to the length of the string, expressed a L. The system the lab will be based on will include a pendulum with a weight of W suspended at a fixed point by the string with a variable length of L and an angle theta to be measured using a protractor. The variable T will be measured as the period of time needed for the weight of the pendulum to swing back and forth once. For part 1 of the lab, we will be measure 5 lengths (L) and apply those variables into the formulae (E.5) and (E.5a/b) to calculate the random error of experiment. Part 2, we will then demonstrate how T varies depending on the angle. In order to do so, we will measure three different angles over the course of ten periods for each angle using the computer as a timer. Finally in part 3, we will evaluate the relation between the L and T empirically using the formula provided in the manual. After recording all the data for the lab, we will determine
The first part consisted of measuring the length, L, of the string from the base of the fixed point to the weight five times. The lengths of the string ranged from 50.7cm - 50.9cm. From those measurements, we calculated the average of L and its random error using formulas E.5 and E.5a/b. For the second part, we used our 50cm string and measured for the period of time at three different angles using the protractor (~15, ~30, ~ 80) for 10 periods of one complete cycle for the weight to swing back and forth. After we had recorded the 10 periods, we then calculated for its error using formula E.6. Lastly, in the third part we used various lengths of L ranging from ~10cm to ~100cm. We then measured the 10 periods of time at a constant angle of ~15-degrees using the protractor. After recording the data, we used the equations E.8, E.2, and E.4 to propagate the errors of L and