Understanding Circular Motion: Is My Combined Proportionality Statement Correct?

AI Thread Summary
The discussion centers on the correctness of a combined proportionality statement related to circular motion, specifically involving centripetal force, frequency, centripetal acceleration, mass, and radius. The original statement suggests that centripetal force is proportional to the square of frequency, centripetal acceleration, inversely proportional to mass, and directly proportional to radius. Participants inquire about the validity of this statement and whether the order of the variables matters. Clarifications are made regarding the relationships and the need for accurate measurements in experiments. Ultimately, the final proportionality is noted as F ∝ f²mr, indicating the correct relationship among these variables.
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doing a lab report on circular motion and was asked to make a combined proportionality statement, just asking yes or no, is this right?

F_c \propto f^{2} \propto a_c \propto \frac{1}{m} \propto r

where "F_c" is the centripetal force,
"f" is frequency in Hz,
"a_c" is the centripetal acceleration,
"m" is the mass in circular motion,
and "r" is the radius of the circumference of motion

is that right? does the order matter?

thanks
 
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What were the graphs that you draw (and found a directly proportional relationship)? How did you measure a_c as a matter of interest?
 
nvrm, the it is F \propto f^2mr

thanks tho
 

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