2022 Lab 1 - The Circle Lab CH
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School
University of New England *
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Course
1010
Subject
Mathematics
Date
Jan 9, 2024
Type
docx
Pages
6
Uploaded by meganmont
Lab Assignment Sheet
The Circle Lab (Week 1)
Model or Topic Explored: We will be looking at relationships between different measurements of circular objects found at home. We will collect data and present it in several different representations, similar to the lab video. Instructions are provided in the lab video. Please pause the video as necessary to complete each section. We will look at a simple linear model to describe the relationship between the dependent and independent variables. All answers and graphs may be added electronically.
Name: Date: Constants: None
Measurables: Circumference (dependent), diameter (independent), and radius
Observables: Circular objects, materials of the objects, and color of the objects
Problem Statement: How does circumference depend on diameter?
Prediction: The circumference will correlate to the size of the diameter of the object, illustrating that there is a relationship between the two.
Experiment: Procedure (list of steps with some detail):
1.
Measure the diameter (independent) and circumference (dependent) of the glass
with a measuring tape to the nearest mm (0.1 cm).
2.
Measure the diameter (independent) and circumference (dependent) of the candle with a measuring tape to the nearest mm (0.1 cm).
3.
Measure the diameter (independent) and circumference (dependent) of the can of green beans with a measuring tape to the nearest mm (0.1 cm).
4.
Measure the diameter (independent) and circumference (dependent) of the metal
bowl with a measuring tape to the nearest mm (0.1 cm).
5.
Measure the diameter (independent) and circumference (dependent) of the Yeti water bottle with a measuring tape to the nearest mm (0.1 cm).
Tools and Diagram of Apparatus:
PHYS 1010 – page 1
Lab Assignment Sheet
[In this section, please paste at least
two digital photographs. One with you and your sign containing your name and the date of your experiment, and at least
one more of you with the items used in your experiment (preferably while doing the experiment).
Data Table with Units: [In this section, you may paste a data table from MS Excel or generate a table within MS Word.]
Item
Diameter (cm)
Circumference (cm)
Glass
8.5
26.7
Candle
9.9
31.1
Can of Green Beans
7.4
23.2
Metal Bowl
16.0
50.3
Yeti Water Bottle
11.9
37.4
Data Graphs: [In this
section, you may paste graphs that you have generated in MS Excel.]
PHYS 1010 – page 2
0
5
10
15
20
0
5
10
15
20
25
30
35
40
45
50
55
f(x) = 3.15 x − 0.09
R² = 1
Circumference and Diameter of Objects
Diameter (cm)
Circumference (cm)
Lab Assignment Sheet
Math Model(s): [Digital pictures or MS Word Equation Editor could be included if the equations cannot be easily typed.]
Y = mx + b
m = (ymax – ymin) / (xmax – xmin) = (50.3 – 23.2) / (16.0 – 8.5) = 27.1 / 7.5 = 3.6
PHYS 1010 – page 3
Glass
Candle
Can of Green Beans
Metal Bowl
Yeti Water Bottle
0
10
20
30
40
50
60
Circumference and Diameter of Objects
Diameter (cm)
Circumference (cm)
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Lab Assignment Sheet
If circumference is equal to 0, then the diameter is equal to 0. Therefore, the Y-
intercept would be 0.
Diagrammatic Model: [Digital pictures or diagrams
created within MS Word would be included here.]
PHYS 1010 – page 4
Y = 3.6x
0
5
10
15
20
0
5
10
15
20
25
30
35
40
45
50
55
f(x) = 3.15 x − 0.09
R² = 1
Circumference (cm)
Diameter (cm)
Circumference (cm)
Lab Assignment Sheet
Verbal Model: [Represent the results and the relationships between variables that you’ve found in words.] PHYS 1010 – page 5
Glass
Candle
Can of Green Beans
Metal Bowl
Yeti Water Bottle
0
10
20
30
40
50
60
Circumference and Diameter of Objects
Diameter (cm)
Circumference (cm)
Lab Assignment Sheet
We found that the circumference and the diameter are linearly related. The slope of the graph, the change in circumference divided by the change in diameter, is a constant
value.
PHYS 1010 – page 6
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