EWeaver+Lab+16+Simple+Pendulum

__**Procedure**__
 * Study relationship between mass and period, amplitude and period, and length and period of simple pendulum
 * Plot a graph of the first variable (mass, amplitude, or length) on the x-axis as your independent variable and the period on the y-axis as the dependent variable
 * Use at least 5 levels of independent variables
 * Create a pendulum with mass suspended from a point
 * For the mass vs. period test, we increased the mass by 20g for each trial with initial amplitude of 45 degrees and used 1 meter of string
 * Amplitude vs. period: 1 meter of string and a 50g mass with an initial starting position of π/3, followed by π/4, π/6, π/12, and π/24
 * For the Length vs. Period test, a 50g mass was used with an initial amplitude of π/4. The lengths were changed from 1 meter to 0.5m to 0.25m
 * Count 10 cycles/periods and time them







The formula for the period of a simple pendulum as described in 13.14 in the book is T = 2π √(L/g). For the Mass vs. Period, the correlation should be completely linear and horizontal since neither length of the pendulum nor acceleration due to gravity are changed. Due to inaccurate measurements and other factors, we found a small negative correlation. Since the difference in period time from 2.11 to 2.09 seconds from the first trial to the last is small enough, you can assume that any error is insignificant.

The formula for the period of a simple pendulum as described in 13.14 in the book is T = 2π √(L/g). For the Amplitude vs. Period, the period for a simple pendulum is not dependent upon the amplitude, so we should expect a horizontal trend line. Again, inaccurate measuring and other factors caused the trend line to be different from what was expected. The total difference in time between the first and last trial was about .1 seconds.

Using the same equation from 13.14 in the book, for the Length vs. Period, we should expect that as L becomes larger or smaller, the period should lengthen or shorten. This happens because the formula for the period of a simple pendulum depneds on the length of the pendulum string, and is directly proportional to the square root of it. If the pendulum string length increases, the period should als increase and vice versa.