Lab 6 Physics (1)
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Siena College - General Physics 110
Circular Motion Lab
NAME:
David Rivera
GROUP MEMBERS: Derek & Steven
Learning Goals
1.
In Section I, you will design an experiment to investigate the relationship
between the
speed
of an object moving in a circle and the
centripetal force
exerted on the object.
2.
In Section II, you will design an experiment to investigate the relationship
between the
speed
of an object moving in a circle and the
radius
of the object’s
circular path.
3.
In Section III, you will design an experiment to investigate the relationship
between the
speed
of an object moving in a circle and the
mass
of the object
being swung in a circle.
Section I
-
In this part of the lab, you will design an experiment to
investigate the relationship between the
speed
of an object moving in a circle and
the
centripetal force
exerted on the object.
Equipment: Tube, string, mass hanger, various masses, rubber stopper,
washers, stopwatch, scale, masking tape.
Using the available equipment, work with your group to design a clear and
specific experiment that will allow you to investigate the relationship between the
physical quantities of speed and centripetal force for an object moving in a
circular path at constant speed. Below are some important questions that you will
want to discuss with your group when developing your experiment.
1.
How can you use the available equipment to have an object move in a circle
while…
a.
…changing
the centripetal force exerted on the object?
b.
…maintaining
the radius
of the object’s circular path and the mass of the
object?
2.
How can you measure the object’s speed? What other physical quantities may
help you indirectly measure the object’s speed? What mathematical
representations can you use?
3.
Which physical quantity do you want to purposefully vary from one trial to the
next (the independent variable) and which physical quantity do you want to
investigate (the dependent variable) based on the changes you make to the
independent variable?
4.
How can you change the centripetal force from one trial to the next?
a.
Where does this force come from? Sketch a force diagram for the object
to help answer this question!
b.
How can you swing the object to ensure that you are maintaining a
consistent centripetal force throughout the
same trial
?
1
Siena College - General Physics 110
Circular Motion Lab
5.
Which physical quantities do you want to keep constant from one trial to the
next?
a.
How can you swing the object to ensure that these quantities stay
(mostly) constant?
b.
What value will you choose for each quantity that you are trying to keep
constant?
c.
Why are you choosing the constant values that you did over other
constant values?
6.
What data will you record in order to investigate the relationship between
speed and centripetal force?
a.
How will you collect this data?
b.
How many times do you plan to repeat each trial in your experiment to
ensure consistency in your data?
c.
How many trials will you need to run so that you can confidently
determine whether or not changes in the centripetal force are
responsible for changes in the speed of the object?
d.
How will you know if any of your data is compromised? If this is
determined to be a strong possibility, what will your group do with the
compromised data?
7.
How will your group analyze and graph your data so that you can make a
confident statement as to what type of relationship (if any) exists between the
speed
of the object and the
centripetal force
being exerted on the object?
Section II -
In this part of the lab, you will design an experiment to
investigate the relationship between the
speed
of an object moving in a circle and
the
radius
of the object’s circular path.
Equipment: Same as Section I.
Using the same available equipment and a line of questioning similar to that
provided in Section I, work with your group to design a clear and specific
experiment for Section II that will allow you to investigate the relationship
between the physical quantities of
speed
and
radius
for an object moving in a
circular path at constant speed.
Section III
-
In this part of the lab, you will design an experiment to
investigate the relationship between the
speed
of an object moving in a circle and
the
mass
of the object being swung in a circle.
Equipment: Same as Section I.
2
Siena College - General Physics 110
Circular Motion Lab
Using the same available equipment and a line of questioning similar to that
provided in Section I, work with your group to design a clear and specific
experiment for Section III that will allow you to investigate the relationship
between the physical quantities of
speed
and
mass
for an object moving in a
circular path at constant speed.
Purpose & Procedures
●
Briefly summarize, in your own words, the objective(s) of your experiments.
●
Describe your experimental procedures in enough detail that another group
could recreate your experiments exactly --
not
just do experiments
similar
to
yours.
●
State what you will measure in your experiments as well as the independent
and dependent variable(s). Remember not to vary more than one quantity at a
time.
●
Include a detailed sketch of your experimental setup(s).
Scientific Ability
Missing
Inadequate
Needs
Improvement
Adequate
B1
Is able to identify
the phenomenon
to be investigated
No phenomenon is
mentioned.
The description of
the phenomenon to
be investigated is
confusing, or it is
not the phenomena
of interest.
The description of
the phenomenon is
vague or
incomplete.
The phenomenon to
be investigated is
clearly stated.
B2
Is able to design a
reliable
experiment that
investigates the
phenomenon
The experiment does
not investigate the
phenomenon.
The experiment may
not yield any
interesting patterns.
Some important
aspects of the
phenomenon will not
be observable.
The experiment
might yield
interesting patterns
relevant to the
investigation of the
phenomenon.
B3
Is able to decide
what parameters
are to be
measured and
identify
independent and
dependent
variables
The parameters are
irrelevant.
Only some of the
parameters are
relevant.
The parameters are
relevant. However,
independent and
dependent variables
are not identified.
The parameters are
relevant and
independent and
dependent variables
are identified.
3
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Circular Motion Lab
A7
Sketch
No representation is
constructed.
The sketch is drawn,
but it is incomplete
with no physical
quantities labeled,
or important
information is
missing, or it
contains wrong
information, or
coordinate axes are
missing.
The sketch has no
incorrect
information, but has
either no or very
few labels of given
quantities.
Subscripts are
missing or
inconsistent. The
majority of key
items are drawn.
The sketch contains
all key items with
correct labeling of
all physical
quantities that have
consistent
subscripts; axes are
drawn and labeled
correctly.
In section 1 experiment, the purpose of the is to investigate the relationship
between the
speed
of an object moving in a circle and the
centripetal force
exerted on the object. In the experiment you will use a string, a weight, a plastic
tube, mass holder, and a timer. First you will be cutting a piece of the string and
tying it to the weight. To keep the radius the same you will measure the string
and cut it at 42.5cm. Next you will pull the string through the tube and tie the
mass holder onto the other end of the string. Then you will be using the timer to
measure the amount of time it takes for the weight to do one full revolution. You
will spin the mass by holding the tube and spinning the tube. Throughout the
experiment the mass and radius will be kept the same. For the different speeds
we will be measuring revolutions per second. Then you will calculate the
revolutions per second and record it in the data table. You will be repeating these
same steps for faster speeds, at the same time you will be adding more weight
onto the mass holder, in order to have proper counterweight.
In section 2 experiment, the purpose of the experiment is to investigate the
relationship between the physical quantities of
speed
and
radius
for an object
moving in a circular path at constant speed. In the experiment you will use a
string, a weight, a plastic tube, mass holder, and a timer. First you will be cutting
a piece of the string and tying it to the weight. Then mark 5 different points on
the string in order to signify the different radii to test at. Next you will pull the
string through the tube and tie the mass holder onto the other end of the string.
You will start at the mark closest to the weight, then you will record the time it
takes for it to do 10 revolutions, once that radius is complete move on to next
radius marking. Repeat the last step until all the markings have been tested. They
calculate the revolution per second and the speed of the weight and record onto a
table.
In section 3 experiment the purpose of the experiment is to investigate the
relationship between the physical quantities of
speed
and
mass
for an object
moving in a circular path at constant speed. In the experiment you will use a
string, a weight, a plastic tube, mass holder, and a timer. First you will be
cutting a piece of the string at the 40 cm mark and tying it to the weight. Next
you will pull the string through the tube and tie the mass holder onto the other
end of the string, with a set amount of weight on it. Then you will be using the
timer to measure the amount of time it takes for the weight to do one full
revolution. You will spin the mass by holding the tube and spinning the tube.
Once you start recording count 20 revolutions then record the data. The next
4
Siena College - General Physics 110
Circular Motion Lab
trial add a washer to the string on top of the weight at the end of the string for
added mass. Repeat the previous steps and repeat them for a total of 5 trials.
Force Diagram
●
Sketch a force diagram for the object when the object is being swung around
in a circle. Remember to label each force properly.
●
Briefly describe what the force diagram represents about the motion of the
object.
●
What is the direction of the net force if the object is being swung in a circle at
a constant speed and constant radius? How are the values of the centripetal
force and tension force in the string related to one another?
Scientific Ability
Missing
Inadequate
Needs
Improvement
Adequate
A5
Force Diagram
No representation is
constructed.
Force diagram is
constructed,
but
contains
major
errors
such
as
incorrect,
mislabeled or not
labeled
force
vectors,
incorrect
length of vectors,
incorrect direction,
extra
incorrect
vectors are added,
or
vectors
are
missing.
Force diagram
contains no errors in
vectors, but lacks a
key feature such as
labels of forces with
two subscripts or
vectors are not
drawn from a single
point, or axes are
missing.
The force diagram
contains no errors
and each force is
labeled so that it is
clearly understood
what each force
represents.
The force diagram shows that there’s a force present pulling the object down past
the tube, which is caused by the mass holder. This prevents the object from going
flying. There is a force present pointing away from the tube which is caused by
the object tied at the other end of the tube. Then there’s also the direction in
which the object is moving in. The direction of the net force is that it would be
heading in the direction towards the center, from the object to the tube. The
values of the centripetal force and tension force in the string are related to each
other because the magnitude of the centripetal force of the object is equal to the
tension.
Data Tables
5
Siena College - General Physics 110
Circular Motion Lab
●
Record all of the data you collected in your experiments in neat, easy to
understand tables with units included
. A separate table should be produced
for each of the relationships between physical quantities that you are
investigating.
●
Take into consideration the number of trials that your group thinks should
be run.
●
How did you calculate the speed of the swinging object by using the data you
collected? Include at least one step-by-step example of your calculations (if the
same calculation was repeated throughout the entire experiment).
Scientific Ability
Missing
Inadequate
Needs
Improvement
Adequate
G4
Is able to record
and represent data
in a meaningful
way
Data are either
absent or
incomprehensible.
Some important data
are absent or
incomprehensible.
All important data
are present, but
recorded in a way
that requires some
effort to
comprehend.
All important data
are present,
organized, and
recorded clearly.
A9
Mathematical
No representation is
constructed.
The mathematical
representation lacks
the algebraic part
(the student plugged
in the numbers right
away), has the
wrong concepts
being applied, signs
are incorrect, or
progression is
unclear.
No error is found in
the reasoning.
However, there may
not be fully
completed steps to
solve the problem or
one needs
considerable effort
to comprehend the
progression. No
evaluation of the
math in the problem
is present.
The mathematical
representation
contains no errors
and it is easy to see
the progression
from the first step to
the last step in
solving the
equation. The solver
evaluated the
mathematical
representation.
Section 1:
Radius(m)
Counterweight(g)Time(s)
Rev per
sec
Speed(m/s) Centripetal
Force(N)
0.425
150
16.56
1.208
3.19
1.47
0.425
250
14.43
1.386
3.98
2.45
0.425
350
10.90
1.835
4.89
3.43
0.425
450
9.58
2.088
5.56
4.41
0.425
550
7.53
2.656
7.12
5.39
Section 2:
Radius(m)
Counterweight(g)Time(s)
Rev per sec
Speed(m/s)
.10
100
4.78
2.09
1.28
.20
100
6.62
1.51
1.90
.30
100
7.65
1.31
2.45
.40
100
8.23
1.22
3.07
.50
100
9.77
1.02
3.24
Section 3:
Radius(m)
Counterweight(g)Time(s)
Rev per sec
Speed(m/s)
.40
57
14.57
1.37
3.44
.40
109
17.00
1.18
2.96
6
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Circular Motion Lab
.40
170
22.07
0.91
2.27
.40
215
23.85
0.84
2.10
.40
259
28.17
0.71
1.78
Graphical Representations
●
Include separate graphs to further represent and analyze the relationship
between each pair of physical quantities that you are investigating (ex: speed
vs. centripetal force, etc.)
.
●
Remember to include a trendline to fit your data as this is an important step
towards being able to analyze your data and finding a relationship between the
quantities being graphed.
Scientific Ability
Missing
Inadequate
Needs
Improvement
Adequate
A11
Graph
No graph is present.
A graph is present,
but the axes are not
labeled. There is no
scale on the axes.
The data points are
incorrectly connected
to each other instead
of using an
appropriate
trendline.
The graph is present
and the axes are
labeled, but the axes
do not correspond to
the independent and
dependent variable
OR the scale is not
accurate. The data
points are not
connected to each
other, but there is no
trendline either.
The graph has
correctly labeled
axes, the
independent variable
is along the
horizontal axis and
the scale is accurate.
The trendline is
correct.
Section 1:
Section 2:
7
Siena College - General Physics 110
Circular Motion Lab
Section 3:
Data Analysis
●
What patterns did you notice between each of the independent variables and
the dependent variable in the experiments you performed? Reference your
data tables, graphs, and trendlines.
●
How can you represent the patterns from your data in the form of a
mathematical representation? How well does the equation agree with your
data?
●
What may have contributed to uncertainties in your measurements? Identify as
many sources of experimental uncertainty as you can.
8
Siena College - General Physics 110
Circular Motion Lab
Scientific Ability
Missing
Inadequate
Needs
Improvement
Adequate
B7
Is able to identify
a pattern in the
data
No attempt is made
to search for a
pattern.
The pattern
described is
irrelevant or
inconsistent with the
data.
The pattern has
minor errors or
omissions.
The pattern
represents the
relevant trend in the
data.
B8
Is able to
represent a
pattern
mathematically (if
applicable)
No attempt is made
to represent a
pattern
mathematically.
The mathematical
expression does not
represent the trend.
The mathematical
expression
represents the
trend. However, an
analysis of how well
the expression
agrees with the data
is not included, or
some features of the
pattern are missing.
The mathematical
expression
represents the trend
completely and an
analysis of how well
it agrees with the
data is included.
G1
Is able to identify
sources of
experimental
uncertainty
No attempt is made
to identify
experimental
uncertainties.
An attempt is made
to identify
experimental
uncertainties, but
most are missing,
described vaguely,
and/or incorrect.
Most experimental
uncertainties are
correctly identified.
However, there is no
distinction between
random and
experimental
uncertainty.
All experimental
uncertainties are
correctly identified.
There is a
distinction between
experimental
uncertainty and
random uncertainty.
For section 1 the pattern present was the greater the amount of force pulling on
the string the faster the object moved. In the graph you see a linear correlation
going upwards showing that the speed is increasing. In section 2 the pattern
present was the longer the radius of the object to the tube, the faster the object
moved, but the revolutions were slower. In the graph for section 2, the graph also
shows a positive correlation between the increasing radius between the object
and the tube, and the speed at which the object was going. In section 3 the
pattern present was the greater the weight present, the slower the object moved
in circular motion. In the graph for section 3, we see that there is a negative
correlation between the weight being added and the speed of the object. Some
uncertainties that could contribute to our measurements is the fact that the string
would get tangled up in the tube at times causing us to restart the timer. Another
issue was that there were times where the weights would fall off the mass holder
causing us to restart the timer. Another factor could be human error where there
would be a slight delay when starting and stopping the timer.
Section 1 Formula: y=mx + b
Y= speed
m=avg. speed over force
x= centripetal force
Section 2 Formula: y=mx + b
Y= speed
m=avg. speed over radius
x= radius of the object
Section 3 Formula: y=mx + b
9
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Circular Motion Lab
Y= speed
m=avg. speed over weight
x= weight added
10
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