2022 Lab 1 - The Circle Lab (4) (1)

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University of New England *

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PSY224

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Mathematics

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Feb 20, 2024

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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: Tanyyitaku Tanyi Date: 02/05/2024 Constants: none Measurables: Circumference (dependent) Diameter (independent), Radius (1/2 diameter) Observables: 5 objects PHYS 1010 – page 1
Lab Assignment Sheet Problem Statement: How does the circumference depend on the diameter? Prediction: The circumference shares a relationship with the diameter. Experiment: Procedure ( list of steps with some detail): PHYS 1010 – page 2
Lab Assignment Sheet 34 PHYS 1010 – page 3
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Lab Assignment Sheet PHYS 1010 – page 4
Lab Assignment Sheet 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).] PHYS 1010 – page 5
Lab Assignment Sheet Precautions and caveats: While there are none for this experiment, it is good to note to include this section in future modeling experiments. Although there are currently no instances for this experiment, it's worth mentioning the importance of incorporating this section in future modeling experiments. Data Table with Units: [In this section, you may paste a data table from MS Excel or generate a table within MS Word.] objects Diameter (cm) Circumference) Cologne bottle 6 cm 18.84 cm quater 2 cm 10.05cm wristband 5 cm 15.7 cm Dog food can 4cm 14.5 Wave cap lid 7cm 21.9 PHYS 1010 – page 6
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Lab Assignment Sheet Data Graphs: [In this section, you may paste graphs that you have generated in MS Excel.] Math Model(s): [Digital pictures or MS Word Equation Editor could be included if the equations cannot be easily typed.] Slope: m= 3.2 Equation: y=3.2x-.5 Diagrammatic Model: [Digital pictures or diagrams created within MS Word would be included here.] PHYS 1010 – page 7
Lab Assignment Sheet Verbal Model: [Represent the results and the relationships between variables that you’ve found in words.] I stumbled upon a fascinating connection: the circumference and diameter are intricately linked in a linear and directly proportional manner. The constant value of the slope, reflecting the change in circumference over diameter, happens to be close to pi. I find myself in agreement with the original prediction. PHYS 1010 – page 8