Lab Members: Mikey Haydt
Lab Name: Angular Momentum Conservation Lab
Date: March 17, 2015
Lab Name: Angular Momentum Conservation Lab
Date: March 17, 2015
Purpose:
The purpose is to prove the conservation of angular momentum by finding and comparing the variables and measurements of a system of masses in two separate states.
Theory:
The law of conservation states that between two separate instances of an object in motion, the total momentum is constant. In this case, as the experimental system is in motion, the initial angular momentum La of the rotating set of masses is equal to the angular momentum of the system after the masses have shifted in Lb. Therefore, I can derive the equation of La = Lb and can prove it using values I find through experimentation.
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* For Lb, due to m1 and m2 shifting to become a single conjoined mass, the angular momentum if thus for the combination of the two rather than the individual parts as seen in La
Experimental Technique:
~ Determine equation needed for experiment
~ Find masses of individual parts using scale
~ Find individual lengths and radii of individual parts on rod using Vernier Caliper and ruler
* Found radius for some using mathematics (picture below in Analysis section)
~ Find angular velocity of systems before and after shifting of masses using DataStudio
~ Solve equation for both sides & compare answers
~ Find masses of individual parts using scale
~ Find individual lengths and radii of individual parts on rod using Vernier Caliper and ruler
* Found radius for some using mathematics (picture below in Analysis section)
~ Find angular velocity of systems before and after shifting of masses using DataStudio
~ Solve equation for both sides & compare answers
Data:
Analysis:
Conclusion:
Judging by the result of seen in the Analysis section, the %-diff is quite small between the answers. Considering that the small difference between answers would most likely be caused by any occurring friction caused by rotation and contact between the rod and air, along with any errors due to estimation and measurements, the theory proves to be true. I would call this experiment a success.
References:
hyperphysics.phy-astr.gsu.edu/hbase/amom.html --> For backup info during the days I did not have my flashcards