Practice Problems
Frequency and Period #2
Directions:
On this worksheet you will examine properties of a simple pendulum, vibration graphs, and graphs of Period
^{2}
vs Length.
omit
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 linear graph with a slope of
3.86
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.
40.91 m/sec
^{2}
10.23 m/sec
^{2}
3.26 m/sec
^{2}
10.60 m/sec
^{2}
omit
Question 2
If the accepted value for gravity at sea level is 9.8 m/sec
^{2}
, what was the percent error for this group's experiment?
4.363%
29.332%
4.181%
6.814%
omit
Question 3
According to the data summarized by the group's regression line in
Question #1
, determine the frequency of a pendulum that was 103 cm long?
0.0710 hz
0.247 hz
0.497 hz
0.0502 hz
omit
Question 4
How would the period of a 76 cm pendulum compare to the period of the pendulum in
Question #3
?
It would be the same.
It would be greater.
It would be smaller.
omit
Question 5
What is meant by the term pendulum bob?
none of the four other statements listed is a correct answer.
It represents the angle from which a pendulum is released.
It represents the pivot point from which a pendulum vibrates.
The mass attached to the end of a simple pendulum.
It represents a synonym for a pendulum's frequency.
omit
Question 6
What would be the correct units to measure the slope of the regression line described in
Question #1
?
sec
^{2}
/m
L/T
^{2}
m/sec
^{2}
T
^{2}
/L
omit
Question 7
What is the frequency of a pendulum whose vibration graph is shown below if its 1st crest occured at t = 4.45 sec and its last crest occured at 51.45 seconds .
0.170 hz
0.191 hz
5.875 x 10
^{0}
hz
5.222 x 10
^{0}
hz
0.175 hz
omit
Question 8
Using the equation T = 2
p
SQRT(L/g) what would be the length of the pendulum in
Question #7
?
8.57 meters
2.93 meter
6.77 meter
5.88 meter
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