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 8 seconds and the last trough occured at 27.4 seconds.Based on the first trough, how many complete vibrations are shown on the graph?

15.5 16 14 14.5 15

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Question 2 What was the pendulum's period?

7.73 x 10^{-1} hz1.29 x 10^{0} seconds1.39 x 10^{0} seconds7.22 x 10^{-1} hz1.94 x 10^{1} seconds

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Question 3 What was the pendulum's frequency?

7.22 x 10^{-1} hz7.73 x 10^{-1} hz1.29 x 10^{0} seconds1.39 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 31 seconds had the sonic ranger continued recording?