Vibration Graphs and Period

Practice Problems
Vibration Graphs and Period

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 3.9 seconds and the last trough occured at 27.3 seconds.

Based on the first trough, how many complete vibrations are shown on the graph?

14 14.5 16 15 15.5

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Question 2 What was the pendulum's period?

1.67 x 10⁰ seconds1.56 x 10⁰ seconds2.34 x 10¹ seconds6.41 x 10^-1 hz5.98 x 10^-1 hz

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Question 3 What was the pendulum's frequency?

1.67 x 10⁰ seconds1.56 x 10⁰ seconds5.98 x 10^-1 hz6.41 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 34 seconds had the sonic ranger continued recording?

19 vibrations4 vibrations2 vibrations25 vibrations

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Question 5 Based on the formula for a simple pendulum, how long was the pendulum in this experiment?

4.87 meters0.60 m2.43 meters0.39 meters