class 050826

Based on the observations made in one class, here is a graph of pendulum period vs. length. The function that according to this graph relates period and length is T = .23 L^.48, approximately, where T is period in seconds and L is length in cm.

1. Based on this graph estimate the period of a pendulum of length 50 cm and the length of a pendulum with a period of 1.2 seconds.

2. According to the function T = .23 L^.48 find the period of a pendulum of length 55 cm and the length of a pendulum with a period of .8 seconds.

3. According to your best estimates from the graph, is there more change in period between lengths of 15 cm and 25 cm or between 25 cm and 55 cm?

4. According to your best estimates from the graph, does the period of the pendulum change more per additional cm of length between the 10 cm and 25 cm lengths, or between the 25 cm and 55 cm lengths?

5. The observed periods for lengths of 15 cm and 40 cm are approximately .7 seconds and 1.35 seconds. If it is known that the period is related to the length by a function of the form T = A * L^p, then

What do you get when you plug the length and period of the 15 cm pendulum into this equation?
What do you get when you plug the length and period of the 40 cm pendulum into this equation?

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