Pfautz+Lab+16

__Procedure__ Part 1: 1. Hang the string on a the board 2. Attach the mass to the bottom of the string so that there is a length of 1m between the top of the string and the bottom of the mass. 3. Move the pendulum to amplitude of 15° from the equilibrium and let it go. 4. Record the time necessary to complete 5 cycles and calculate the period. 5. Conduct the procedure starting with a mass of 50g and increasing it by intervals of 5g each trial for five trials. 6. Record the periods for each mass.
 * Simple Pendulum**

Part 2: 1. Hang the string on the board 2. Attach the mass to the bottom of the string so that there is a length of 1m between the top of the string and the bottom of the mass 3. Move the pendulum to amplitude of 15° from the equilibrium and let it go. 4. Record the time necessary to complete 5 cycles and calculate the period. 5. Conduct the procedures starting with amplitude of 15° and increase it by intervals of 5° for five trials.

Part 3: 1. Hang the string on the board 2. Attach the mass to the bottom of the string so that there is a length of 1m between the top of the string and the bottom of the mass 3. Move the pendulum to amplitude of 15° from the equilibrium and let it go. 4. Record the time necessary to complete 5 cycles and calculate the period. 5. Conduct the procedures starting with an length (L) of 100cm and decreasing it by intervals of 10cm for five trials

Table 2 Table 3 __Analysis:__ Graphs 1 and 2 show that changing the mass and/or the amplitude of the pendulum does not have any effect on its period because the correlation coefficient is zero. It also shows that the slope is practically horizontal. Graph 3 shows a small positive slope, which proves that changing the length of the pendulum affects the period. As the length of the pendulum increases, the period increases. The results of this lab correspond with the period equation for simple pendulums: T = 2π(L/g)^½. As length increases, period increases. Mass and amplitude are not in the equation and changing them does not affect the period.
 * __Data:__** Table 1
 * ** Change in Period Due to Change in Mass ** ||
 * ** Trial ** || ** Mass (g) ** || ** Cycles ** || ** Time ** || ** Period (s/cycle) ** ||
 * ** 1 ** || 50 || 10 || 10.39 || 1.04 ||
 * ** 2 ** || 55 || 10 || 10.12 || 1.01 ||
 * ** 3 ** || 60 || 10 || 10.15 || 1.02 ||
 * ** 4 ** || 65 || 10 || 9.63 || 0.96 ||
 * ** 5 ** || 70 || 10 || 10.32 || 1.03 ||
 * ** Change in Period Due to Change in Amplitude ** ||
 * ** Trial ** || ** Amplitude (cm) ** || ** Cycles ** || ** Time ** || ** Period (s/cycle) ** ||
 * ** 1 ** || 2 || 10 || 10.38 || 1.04 ||
 * ** 2 ** || 4 || 10 || 10.30 || 1.03 ||
 * ** 3 ** || 6 || 10 || 10.75 || 1.08 ||
 * ** 4 ** || 8 || 10 || 10.87 || 1.09 ||
 * ** 5 ** || 10 || 10 || 10.65 || 1.07 ||
 * ** Change in Period Due to Change in Length ** ||
 * ** Trial ** || ** Length (cm) ** || ** Cycles ** || ** Time ** || ** Period (s/cycle) ** ||
 * ** 1 ** || 100 || 10 || 10.06 || 1.01 ||
 * ** 2 ** || 90 || 10 || 9.72 || 0.97 ||
 * ** 3 ** || 80 || 10 || 9.19 || 0.92 ||
 * ** 4 ** || 40 || 10 || 8.42 || 0.84 ||
 * ** 5 ** || 50 || 10 || 8.15 || 0.82 ||
 * __Analysis:__**