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 3.5 seconds and the last trough occured at 28 seconds.Based on the first trough, how many complete vibrations are shown on the graph?

14 15.5 15 14.5 16

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Question 2
What was the pendulum's period?

2.45 x 10^{1} seconds1.63 x 10^{0} seconds5.71 x 10^{-1} hz6.12 x 10^{-1} hz1.75 x 10^{0} seconds

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Question 3
What was the pendulum's frequency?

6.12 x 10^{-1} hz1.63 x 10^{0} seconds1.75 x 10^{0} seconds5.71 x 10^{-1} hz

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Question 4
Based on the time of the first trough, how many complete vibrations would have taken place in 31 seconds had the sonic ranger continued recording?