Practice Problems
Frequency and Period #1
Directions:
On this worksheet you will work with relationships between frequency, period, and length in a simple pendulum lab.
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Question 1
During an experiment, data is collected on the vibrations of a simple pendulum. A graph of
Period
^{2}
vs Length
is plotted and forms a graph with a slope of
3.91
and a y-axis intercept of
0.07
. Use the fact that the numerical value of the slope represents 4π
^{2}
/g to determine the value of gravity in the lab room.
10.33 m/sec
^{2}
40.39 m/sec
^{2}
3.21 m/sec
^{2}
10.1 m/sec
^{2}
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Question 2
If the accepted value for gravity at sea level is 9.8 m/sec
^{2}
, What is the percent error for this experiment?
3.028%
6.862%
29.715%
2.939%
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Question 3
According to the data summarized by this regression line, what would be the period of a pendulum that is 42 cm long?
8.04 sec
12.81 sec
1.31 sec
1.71 sec
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Question 4
Which combination of vibrations could have been possible values for the 30-second trials when testing a 42-cm pendulum?
22.5, 23, 23.5
16, 18, 20
3.5, 4, 4.5
37.2, 38, 38.8
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Question 5
The period of a simple pendulum can be calculated with the formula T = 2
p
SQRT(L/g). However, there is procedural error which must be accommodated when conducting the experiment in order to get the best possible experimental result. Which answer below best describes this error?
The length of the pendulum should always be measured to the center of the pendulum's bob.
The mass on the end of the pendulum should be the same for all trials.
The amplitude of the pendulum should be less than 10º.
none of the three other statements listed is a correct answer.
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Question 6
Which variable was the independent variable during this experiment?
Period
Length
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Question 7
What is the frequency of a pendulum whose vibration graph is shown below if its 1st crest occured at t = 5.05 sec and its last crest occured at 61.05 seconds .
6.4 hz
6.0 hz
1.43 x 10
^{-1}
hz
7.0 hz
1.67 x 10
^{-1}
hz
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Question 8
A group of children are playing jump rope. Each child stays in the middle for 3.8 minutes. If the frequency of the children spinning the rope is 0.42 hz, then how many times does each child jump while he/she is in the middle?
95
1
none of the three values stated as an answer is correct
542
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