2022 Lab 1 - The Circle Lab
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School
University of New England *
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Course
1010
Subject
Mathematics
Date
Apr 3, 2024
Type
docx
Pages
4
Uploaded by CommodoreSheep3875
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 (half the diameter)
Observables: Circular objects of various sizes. One object is white, two are gold, black, and silver. Four of the objects are plastic and the final is more of a bronze material.
Problem Statement: How does Circumference depend on diameter?
Prediction: Circumference is related to the diameter as a linear relationship.
PHYS 1010 – page 1
Lab Assignment Sheet
Experiment: Procedure ( list of steps with some detail):
1.
Collect 5 circular objects around the house and start making observations
2.
Measure each diameter of the 5 circular objects
3.
Measure each circumference of the 5 circular objects
4.
Construct a chart of all diameters and circumferences of the 5 circular objects
5.
Come up with a consensus of relationship between circumference and diameter
Tools and Diagram of Apparatus:
[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).]
Precautions and caveats: While there are none for this experiment, it is good to note to include this section in future modeling experiments.
PHYS 1010 – page 2
Lab Assignment Sheet
Data Table with Units: [In this section, you may paste a data table from MS Excel or generate a table within MS Word.]
Item
D (cm) X
C (cm) Y
R(cm)
Black Pre-Workout Tin
9.1cm
29.4cm
4.6cm
Gold Candle Lid
10.5
33
5.3
Silver Candle
8
25.2
4
White Container Lid
9
28.5
4.5
Gold Statue
12
38
6
Data Graphs: [In this section, you may paste graphs that you have generated in MS Excel.]
7.5
8
8.5
9
9.5
10
10.5
11
11.5
12
12.5
0
5
10
15
20
25
30
35
40
Circles
Diameter (cm)
Circumference (cm)
Math Model(s): [Digital pictures or MS Word Equation Editor could be included if the equations cannot be easily typed.]
Slope= rise/run or (ymax-ymin)/ (xmax-xmin)
Slope= (38-25.2)/(12-8)
Slope=3.2
PHYS 1010 – page 3
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Lab Assignment Sheet
Y=mx+b
Circumference (cm)=3.2 x D (cm)
Circumference (cm)= 3.2x9.1cm = 29.1 (Black Preworkout)
Circumference (cm)=3.2x10.5cm=33.6cm (Gold candle lid)
Circumference (cm)= 3.2x8cm= 25.6cm (silver candle)
Circumference (cm)=3.2x9cm= 28.9cm (white container)
Circumference (cm)=3.2x12cm=38.4cm (gold statue)
Diagrammatic Model: [Digital pictures or diagrams created within MS Word would be included here.]
7.5
8
8.5
9
9.5
10
10.5
11
11.5
12
12.5
0
5
10
15
20
25
30
35
40
Circles
Diameter (cm)
Circumference (cm)
Red Line: Diameter
Blue Line: Circumference
Verbal Model: [Represent the results and the relationships between variables that you’ve found in words.] I found that the circumference and the diameter are linearly related. The slope of the graph in circumference is a constant value, equal to pi. PHYS 1010 – page 4