Lab
Circumference and Diameter
Printer Friendly Version
Purpose
To let each student become familiar with measuring with meter sticks and to develop critical thinking skills. Secondly, to introduce students to data analysis techniques.
Vocabulary
Match the correct definition to each term.
1. accuracy
2. centi
3. circumference
4. deci
5. dependent variable
6. diameter
7. independent variable
8. kilo
9. meter
10. micro
11. Mega
12. milli
13. parallax
14. precision
A metric prefix representing 0.1 of a quantity
A metric prefix representing 0.01 of a quantity
A metric prefix representing 0.001 of a quantity
A metric prefix representing 0.000001 times a quantity
A metric prefix representing 1000 times a quantity
A metric prefix representing 1000000 times a quantity
A measure of the closeness of an experimental measurement with an accepted standard.
The apparent shift in an object's position when it is viewed from an angle.
A measure of how well an outcome can be reproduced one trial after another.
The length of a circular object's perimeter.
The length of the longest chord in a circle.
The distance that light can travel through a vacuum in 1/299792458 seconds.
The values for this experimental quantity are plotted along the y-axis.
The values for this experimental quantity are plotted along the x-axis.
Metric Conversions
Using decimal representations (not scientific notation), supply the correct conversions for each row in the table.
cm
µm
km
1 decimeter
1 millimeter
1 megameter
Sample meterstick readings.
Record the values for each specified position to the nearest hundredth of a centimeter. Please do NOT include "cm" on each answer - just input the numerical value.
A
B
C
D
E
F
Measuring diameter and circumference.
Measure, do NOT calculate, the diameter AND circumference of each item listed. Each member of the lab group is to do his/her own independent measurement. On a sheet of notebook paper, record all measurements and then calculate an average value for each set. You and your partner need to be consistent with your measurements so that you always have the same number of decimal places on all values.
Description
Diameter
Circumference
Partner 1
Partner 2
Average
Partner 1
Partner 2
Average
pen case
washer
soda can
inside of tape
coffee can
top of plate
bicycle wheel
Graphical Analysis
EXCEL will now graph your data. Minimize your browser, double click My Computer, double click the shared drive on Lederman, double click your period's folder and then finally double click
1-circumference.xls
. You will most likely be asked to open the file as "read only" - that is fine. As soon as the file is open, use File Save As to rename the file as
LastnameLastnameCircumference.xls
in your period's folder. This copy of the file now belongs uniquely to your group. Remember that there are to be no spaces in the file name.
Input your final AVERAGE values for Diameter and Circumference. Diameter, measured in cm; will be placed on the x-axis and Circumference, measured in cm, will be placed on the y-axis. As you enter your data, your graph will grow. When the graph is finished, be certain to investigate any points that are obviously out-of-line. Recheck them for accuracy - initially as a error in typing; otherwise go back and re-measure. When you data fits nicely, resave and print your graph from my teacher station. Student stations do not have permissions to print to a local or network printer.
Error Analysis
The value for the slope should be close to
π
(
π
=3.14159265). Calculate the accuracy of your experimental measurements by finding the percentage error for your experiment. This done by using the following formula
and should be shown on your graph's printout. On your graph, do not just give me the final numerical value, show me your calculation.
Your group's percent error equals
Since this graph is linear, we have discovered that the circumference and the diameter of circular objects are directly proportional. Their proportionality constant [that is, their slope] should have been pi. Ideally, your y-axis intercept should have been ZERO.
Also on your graph, write the equation of your line next to your line. Remember to not use the variables "x" and "y" but the correct variables that correspond to our experimental values, circumference and diameter. The values for the slope and y-axis intercept for your regression line are already displayed on the graph.
Let's look at an example. If your slope was 3.24 and your y-intercept was -0.75, then your equation would be:
C = 3.24 D - 0.75
Your line's equation is
Using your equation, extrapolate the circumference of a circular conference table that has a diameter of 91.4 cm.
Lab Report.
After you finish submiting this page turn in your lab reports to the one-way box: title page, handwritten summary data chart, and your annotated graph.
Related Documents
Lab:
Labs -
2-Meter Stick Readings
Labs -
Acceleration Down an Inclined Plane
Labs -
Addition of Forces
Labs -
Cookie Sale Problem
Labs -
Density of a Paper Clip
Labs -
Determining the Distance to the Moon
Labs -
Determining the Distance to the Sun
Labs -
Eratosthenes' Measure of the Earth's Circumference
Labs -
Home to School
Labs -
Indirect Measurements: Height by Measuring The Length of a Shadow
Labs -
Indirect Measures: Inscribed Circles
Labs -
Inertial Mass
Labs -
Introductory Simple Pendulums
Labs -
Lab: Rectangle Measurements
Labs -
Lab: Triangle Measurements
Labs -
Marble Tube Launcher
Labs -
Quantized Mass
Labs -
The Size of the Moon
Labs -
The Size of the Sun
Labs -
Video Lab: Falling Coffee Filters
Resource Lesson:
RL -
Basic Trigonometry
RL -
Basic Trigonometry Table
RL -
Curve Fitting Patterns
RL -
Dimensional Analysis
RL -
Linear Regression and Data Analysis Methods
RL -
Metric Prefixes, Scientific Notation, and Conversions
RL -
Metric System Definitions
RL -
Metric Units of Measurement
RL -
Potential Energy Functions
RL -
Properties of Lines
RL -
Properties of Vectors
RL -
Significant Figures and Scientific Notation
RL -
Vector Resultants: Average Velocity
RL -
Vectors and Scalars
Review:
REV -
Honors Review: Waves and Introductory Skills
REV -
Physics I Review: Waves and Introductory Skills
REV -
Test #1: APC Review Sheet
Worksheet:
APP -
Puppy Love
APP -
The Dognapping
APP -
The Pool Game
APP -
War Games
CP -
Inverse Square Relationships
CP -
Sailboats: A Vector Application
CP -
Satellites: Circular and Elliptical
CP -
Tensions and Equilibrium
CP -
Vectors and Components
CP -
Vectors and Resultants
CP -
Vectors and the Parallelogram Rule
WS -
Calculating Vector Resultants
WS -
Circumference vs Diameter Lab Review
WS -
Data Analysis #1
WS -
Data Analysis #2
WS -
Data Analysis #3
WS -
Data Analysis #4
WS -
Data Analysis #5
WS -
Data Analysis #6
WS -
Data Analysis #7
WS -
Data Analysis #8
WS -
Density of a Paper Clip Lab Review
WS -
Dimensional Analysis
WS -
Frames of Reference
WS -
Graphical Relationships and Curve Fitting
WS -
Indirect Measures
WS -
Lab Discussion: Inertial and Gravitational Mass
WS -
Mastery Review: Introductory Labs
WS -
Metric Conversions #1
WS -
Metric Conversions #2
WS -
Metric Conversions #3
WS -
Metric Conversions #4
WS -
Properties of Lines #1
WS -
Properties of Lines #2
WS -
Scientific Notation
WS -
Significant Figures and Scientific Notation
TB -
Working with Vectors
TB -
Working with Vectors
REV -
Math Pretest for Physics I
PhysicsLAB
Copyright © 1997-2017
Catharine H. Colwell
All rights reserved.
Application Programmer
Mark Acton