Frequency and Period #2

Practice Problems
Frequency and Period #2

Directions: On this worksheet you will examine properties of a simple pendulum, vibration graphs, and graphs of Period² vs Length.

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Question 1 During an experiment, data is collected on the vibrations of a simple pendulum. A graph of Period² vs Length is plotted and forms a linear graph with a slope of 4 and a y-axis intercept of 0.05. Use the fact that the numerical value of the slope represents 4π²/g to determine the value of gravity in the lab room.

9.87 m/sec²3.14 m/sec²9.87 m/sec²39.48 m/sec²

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Question 2 If the accepted value for gravity at sea level is 9.8 m/sec², what was the percent error for this group's experiment?

0.71%0.705%30.396%6.933%

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Question 3 According to the data summarized by the group's regression line in Question #1, determine the frequency of a pendulum that was 75 cm long?

0.328 hz0.573 hz0.0873 hz0.0577 hz

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Question 4 How would the period of a 28 cm pendulum compare to the period of the pendulum in Question #3?

It would be the same.It would be smaller.It would be greater.

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Question 5 What is meant by the term pendulum bob?

none of the four other statements listed is a correct answer.It represents a synonym for a pendulum's frequency.The mass attached to the end of a simple pendulum.It represents the pivot point from which a pendulum vibrates.It represents the angle from which a pendulum is released.

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Question 6 What would be the correct units to measure the slope of the regression line described in Question #1?

m/sec²L/T²sec²/mT²/L

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Question 7 What is the frequency of a pendulum whose vibration graph is shown below if its 1st trough occured at 9.45 seconds and its last trough occured at 50.45 seconds .

0.171 hz0.159 hz5.125 x 10⁰ hz0.195 hz5.857 x 10⁰ hz

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Question 8 Using the equation T = 2p SQRT(L/g) what would be the length of the pendulum in Question #7?

6.52 meter2.92 meter5.86 meter8.52 meters