The original aim for this invesigation was to “investigate the simple pendulum”. There are many variables one could look into, such as displacement, angle, damping, mass of the bob etc. The most interesting variable, however, is the length of the swinging pendulum.
The relationship between the length and the time for one swing (the period) has been researched for many centuries, and has allowed famous physicists like Isaac Newton and Galileo Galilei to obtain an accurate value for the gravitational acceleration ‘g’. In this report, we will replicate their experiment, and we will try to find an accurate value for ‘g’ here in Pisa. We will then compare this value with the commonly accepted value of 9. 806 m/s2
In order to reduce possible random errors in the time measurements, we repeated the measurement of the period three times for each of the ten lengths. We also measured the time for ten successive swings to further reduce the errors. The length of our original pendulum was set at 100 cm and for each of the following measurements, we reduced the length by 10 cm.
It can be shown that the period T of the swinging pendulum is proportional to the square root of the length l of the pendulum: , with T the period in seconds, l the length in metres and g the gravitational acceleration in m/s2. Our raw € data should give us a square-root relationship between the period and the length. Furthermore, to find an accurate value for ‘g’, we will also graph T2 versus the length of the pendulum. This way, we will be able to obtain a straight-line graph, with a gradient equal to 4? 2g–1.
The Term Paper on Length Of String Results Pendulum Period
Investigating factors which affect the period time of a simple pendulum Planning Definitions: Oscillation: Repeated motion of pendulum (to and for) Period (T): Time taken for one full oscillation In this investigation, I am going to experimentally determine a factor which will affect the period of a simple pendulum and the mathematical relationship of this factor. This type of pendulum will ...
For this investigation, we had access to limited resources; clamps, stands, a metre ruler, a stopwatch, a metal ball (a. k. a. bob), and some string. The experimental set-up was equal to the diagram, shown in figure 1 (Practical Physics, 2009).
Candidate Number: As stated earlier in the introduction, it was decided to measure the time for ten complete swings, in order to reduce the random errors. Clamp These measurements would be repeated two more times, and in total ten successive lengths were used, starting from one metre, and decreasing by 10 cm for each following measurement. String