PHY-111L-RS-Lab1 Measurements diameter and circumfrance PDF

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Summary

How to find the circumference and the relation to the diameter...

Description

Lab 1: Measurements 1. Testable Question: How is circumference of the circle related to the diameter of the circle? 2. Hypothesis: As the circumference of the circle increases than the diameter will increase because the round objects. 3. Variables: Control: Circular objects Independent: Diameter of the circle (D) cm Dependent: Circumference of the circle (C) cm 4. Table Design: Circular Objects i D (cm) C (cm) 1–8 D 1–8 C 1–8 5. Materials: • 8 round objects (different sizes) • String • Ruler • Marker 6. Procedure: • Gather 8 different round objects • Obtain proximally 1 meter of string, a ruler, and a marker • Created a simple excel table with 3 columns • Measure diameter of each round object with ruler then record in excel • Measure circumference of each round object with string by wrapping it around object • With marker dot to help indicate where string overlaps • Unwrap string and pull next to ruler • Identify the measurement, and record in excel • Create graph in excel, labeling axis and titling • Generate the equation an R2 for linear line • Translate excel equation with personal data © 2017. Grand Canyon University. All Rights Reserved.

Then manually add it to the graphic

• 7. Data:

measured d circular object (cm) measured c (cm) 1 5 17 2 3.2 10.5 3 4.8 16.1 4 3.4 11.9 5 3.7 12 6 7.5 24.2 7 22.6 28.5 8 26 94.3

8. Analysis:

Circumference vs. Diameter 100 y = 2.522x + 2.7909 R² = 0.6968

90

Circumference C (cm)

80 70 60 50 40 30 20

C = 2.52 (d) + 2.791

10 0 0

5

10

15

20

Diameter D (cm)

% error = 3.14 - 2.52/ 3.14 *100 = 19.74% 9. Conclusion: © 2017. Grand Canyon University. All Rights Reserved.

25

30

To answer the testable question, the circumference of a circle is linear to the diameter of the circle because C = 2.52 (d) + 2.791. 10. Evaluation: The hypothesis that was made was supported because as the circumference of the circles increased than the diameter increased as well. The level of accuracy during this experiment was 19.74% . A reason for possible systematic error could have resulted from when the string was cut, and the ends unwounded so when one of my lab group members measures the circumference than it won’t line accordingly while wrapping the circular object also when being held next to ruler. As for a random possible source of error could have resulted from tension on the string when it was being pulled around the circular object.

LaNaya Williams Wednesday, January 5, 2022

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