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course phy 201
08/28 11:30 pm
Remember that the frequency of a pendulum is how many oscillations it completes in a unit of time. For the exercise in today's class, we measure frequencies in cycles per minute.Using your data sheet from today's class, answer the following:
What were the lengths of your two pendulums?
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Measured with a ruler at home: Initial length: 12.5 inches; secondary length: 25.25 inches
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What were the frequencies of your pendulums?
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0.833 oscillations per second; 0.617 oscillations per second
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What was the ratio of the length of the longer to the length of the shorter?
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2.02
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What was the ratio of the frequency of the shorter to the frequency of the longer?
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0.741 ratio
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Good, but the frequency of the shorter is greater so the ratio would be more than 1.
*@
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What is the square of the ratio of lengths, and what is the square root of the ratio of the lengths?
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squared: 4.08; square root: 1.421
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What is the square of the ratio of the frequencies, and what is the square root of the ratio of the frequencies?
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squared: 0.510; square root: 0.844
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Find two pendulum lengths such that the frequency of one pendulum is half that of the other.
What were your lengths?
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6 inches and 24 inches
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What is the ratio of your lengths?
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1 to 4
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How did you arrive at your two lengths?
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I started with six inches, and tested the oscillations over the course of one minute. I repeated the process adding increments of six inches until I arrived at 24.
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&#This looks good. See my notes. Let me know if you have any questions. &#