Mikey Haydt
Simple Pendulum Lab
April 11, 2015
Simple Pendulum Lab
April 11, 2015
Purpose:
To investigate different factors of pendulums and determine whether they affect the period of a pendulum; find any relationship of factors for each individual setup.
Theory:
Experimental Technique:
- Find values for each individual mass (both masses and lengths / CM's)
- Determine correct value for period from each part's collective values
- Do so for mass, length, and amplitude setups
- Graph out each setup's findings
- Create comparative graph for small angles [Ѳ vs sin Ѳ]
- Determine correct value for period from each part's collective values
- Do so for mass, length, and amplitude setups
- Graph out each setup's findings
- Create comparative graph for small angles [Ѳ vs sin Ѳ]
Data:
Analysis:
Conclusion:
Judging by the equation for pendulum period, it can be guessed that the mass and amplitude of the pendulum hammer has no effect on period. This is proved by the small %-diff. However, the larger %-diff for the Amplitude Setup is caused due to friction in the system.
For the Length Setup, by putting the individual lengths into the period equation, I can see that experimental values are closely accurate to the actual values, having a general 3.1%-diff between the two sets of data.
And for the final spot, where I must judge the points at which Ѳ is acceptable to use in the equation over sinѲ, where by judging the graph, it appears to be acceptable to consider any angle <15° to be a small angle and, thus, usable.
For the Length Setup, by putting the individual lengths into the period equation, I can see that experimental values are closely accurate to the actual values, having a general 3.1%-diff between the two sets of data.
And for the final spot, where I must judge the points at which Ѳ is acceptable to use in the equation over sinѲ, where by judging the graph, it appears to be acceptable to consider any angle <15° to be a small angle and, thus, usable.
References:
drive.google.com ~ For data and equation graphics
http://www.phys.utk.edu/labs/simplependulum.pdf ~ For data when notes were unavailable
http://www.phys.utk.edu/labs/simplependulum.pdf ~ For data when notes were unavailable