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course Phy 201
06/26 8
What were the lengths of your two pendulums?9.85 inches and 21.15 inches
What were the frequencies of your pendulums?
61 and 41
What was the ratio of the length of the longer to the length of the shorter?
2.14
What was the ratio of the frequency of the shorter to the frequency of the longer?
1.48
What is the square of the ratio of lengths, and what is the square root of the ratio of the lengths?
square of ratio= 4.580 square root of ratio= 1.463
What is the square of the ratio of the frequencies, and what is the square root of the ratio of the frequencies?
square root of ratio= 2.1904 square root of ratio= 1.217
Find two pendulum lengths such that the frequency of one pendulum is half that of the other.
What were your lengths?
3.23 inches and 43.5 inches
Frequencies were 88 and 43.5
What is the ratio of your lengths?
5.285
How did you arrive at your two lengths?
Trial and Error. Several attempts were close but the first lenth was used as a control and I had to keep changing the other length until the frequency got closer and closer to 1/2 the original measurement."
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Very nicely done.
5.3 is a reasonable ratio; however 3.23 and 43.5 aren't in this ratio. I suspect a typo (maybe that was 8.23?)
Anyway this is a very good report.
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