Directions: On this worksheet you will practice reading vibration graphs and correctly answering questions based on its period and frequency.

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Question 1 The brown-graph shown below tracks the vibrations of a pendulum using a sonic ranger. You are given that the first trough occured at 3 seconds and the last trough occured at 27 seconds.Based on the first trough, how many complete vibrations are shown on the graph?

15.5 16 14 15 14.5

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Question 2 What was the pendulum's period?

1.6 x 10^{0} seconds5.83 x 10^{-1} hz2.4 x 10^{1} seconds1.71 x 10^{0} seconds6.25 x 10^{-1} hz

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Question 3 What was the pendulum's frequency?

6.25 x 10^{-1} hz5.83 x 10^{-1} hz1.71 x 10^{0} seconds1.6 x 10^{0} seconds

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Question 4 Based on the time of the first trough, how many complete vibrations would have taken place in 33 seconds had the sonic ranger continued recording?