Purpose: The purpose of this experiment is to find a relationship between centripetal acceleration and angular speed.
Apparatus:
Theory:
The theory of this experiment is that Force=mass*Radius*angular speed^2. If two variables are held constant and one is changing, the slope of the Force versus the changing variable should be a straight line, with the two variables multiplied being the slope. However, since omega slightly varied with each trial, we instead held one variable constant and had two variables changing.
Data:
Graphs:
Force versus mass*omega^2
Force versus radius*omega^2
Force versus omega^2
Analysis:
The slopes that the graphs are all relatively close to being linear, showing that such a relationship does exist. The slopes graphed are also pretty close to the experimental numbers, showing that the calculation and the experiment correspond with one another.
Conclusion:
The results turned out pretty good, proving that such relationship does exist, and is linear. The results obtained were all within 10%, and any sources of uncertainty might have came from calculations as well as the apparatus itself, which did not spin with constant omega.
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