circular motion tute by Gayan SK PereraFull description
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This Paper contains Circular motion problems.
Introduction to circular motion in an introductory physics course.
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physics teaching notes
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The Transport Safety Board's report into the Lac-Mégantic disaster.
SI
%art B Eeriving the rule Euring analysis of the three types of graphs produced& the trend lines can be compared and evaluated to determine if proportionalities F c ∝ v
2
1
& F c ∝ R
2
v and F c ∝ R are present. In the /rst type of graph&
F c against
v
2
& it can be seen that most values line
up to a proportionality. The outliers such as the points 9A: and 9: may have been produced by the factors of error. 9A: in particular may be the result of poor circular motion as described in 9Eiscussion! %art +:
poor relationship to proportionality. This was li'ely caused by the low number of results& where the radius was not varied enough. If there were more points to plot a graph& the values may have
In the third type of graph& proportionality. The R
2
F c against
v R
& we can see a direct
value is e;ual to + which means every point on the
graph sits along the trend line. The gradient of this graph is e;ual to 1.1+ which is e;ual to the mass of our rubber stopper in 'ilograms "1.1+=='g#.
T(pe 3 Centripetal orce *s -*. */ r ,.011 ,.111
f"x# J 1.1+x - 1 RL J +
+.011 Centripetal 5orce "n#
+.111 1.011 1.111 1.111
01.111
+11.111
+01.111
,11.111
elocity s;uared divided by R
mv The formula F = r
2
& therefore cannot be conclusively proved. As the 1
proportionality 9 F c ∝ R : according to the data is poor. 5or the rule to be proved& there would need to be a strong proportionality between F c and this to occur& more information may be needed.
1
R and for
Conclusion The factors of error in this experiment accounted for many of the minor outliers on the graphs but the characteristics of the type , graph could not be fully accounted for by the errors and so& a direct proportionality could not be shown.
mv The formula 9 F = r
2
: could not be conclusively derived.
If the experiment was to be done again& I would have used heavier slotted masses& done more radius variations& less mass variations and I would have recorded the motion using a video camera to observe the characteristics of the motion.
