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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 4.3 seconds and the last crest occured at 22.3 seconds.

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

16 15.5 14 15 14.5

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Question 2 What was the pendulum's period?

1.8 x 10¹ seconds1.29 x 10⁰ seconds1.2 x 10⁰ seconds8.33 x 10^-1 hz7.78 x 10^-1 hz

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Question 3 What was the pendulum's frequency?

8.33 x 10^-1 hz1.29 x 10⁰ seconds7.78 x 10^-1 hz1.2 x 10⁰ seconds

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Question 4 Based on the time of the first trough, how many complete vibrations would have taken place in 30 seconds had the sonic ranger continued recording?

6 vibrations21 vibrations4 vibrations22 vibrations

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

0.30 meters0.36 m1.87 meters3.74 meters