# Science RWLO Template Title Placeholder

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```					               UNIFORM CIRCULAR MOTION
Project Overview
Uniform circular motion is the motion of an object traveling at a
constant speed on a circular path. Students in a Physics or Physical
Science class will analyze data obtained on the World Wide Web
on the location of satellites in orbit and through the calculations
experience what is meant by “uniform circular motion”. The
calculations involved in this RWLO can also be used in a
Mathematics class (Geometry and Trigonometry) to reinforce
learning about the parts of a circle.

1
Student Learning Objectives
For this RWLO, the student will be able to:

   Collect real time data on the changes in the location of two satellites at
approximately the same altitude over a certain period of time (20 – 30
minutes)

   Use simple calculations to obtain the approximate speed of the two
satellites every minute

   Compare the values of the calculated speed for every minute of each
satellite.

   Draw conclusions as to what is meant by “uniform circular motion”

   List the factors that influence the speed of the satellites while in orbit

2
Procedure
Time: Approximately 60 minutes

Materials: Notebook, writing instrument, calculator, and a computer with internet
access

Prerequisites: Knowledge of the concept of average speed and instantaneous
speed and how to calculate arc length of a circle

Implementation: This RWLO can be used as a classroom activity, but it is
intended to be an activity done outside of class to help introduce the concept of
uniform circular motion. It is intended to be a group activity.

Steps:

1. Create the groups (3 – 4 members) and have the groups chose a team
leader. If done outside of class, make the groups decide on a time and
location for the activity.

2. Review the concept of speed and the parts of a circle and how to calculate
the different parts of a circle.

3. Provide students with the NASA URL.

4. Provide students enough time to complete the activity. If done in class, it
may take 60 minutes. If done outside of class, each team should have met
and done the activity before the next class meeting.

5. Provide a sample table for input of the data and calculation results.

6. Using the sample table (or have them make their own table) have the
calculated speeds of each team posted online.

7. In class, have the teams discuss their results and the conclusions. Have
the teams compare their results with those obtained by the other groups.

8. Using the results presented, introduce the concept of uniform circular
motion.

3
Content Material
Student Directions:
 Select a team leader who will see to it that the activity is done correctly
and in a timely manner.
 Decide on when and where to meet to work on this activity (if done outside
of class).
 Submit the following information before beginning to work on the project:
the team members, the team leader (if done in class) and the time, date
and location for the activity (if done outside of class)
 Go to the course website and read the instructions for this RWLO

During the implementation of the project:
o Team leader should see to it that the procedure is followed and the
calculations are done correctly.
o Divide the team into two groups: each group will work on the data
collection and calculation for each satellite.
o Each group will present their results to the team.
o Each member of the team should participate in the group
discussion which will be led by the team leader.
o Decide on who will be posting the team results online and who will
be presenting the results in class. (This can be done by the team
leader, a team member or the whole team.)

   Go to the following websites and choose two satellites which are at
approximately the same altitude.

http://science.nasa.gov/temp/StationLoc.html
http://science.nasa.gov/temp/HubbleLoc.html
http://science.nasa.gov/temp/ChandraLoc.html
http://science.nasa.gov/temp/NOAA14Loc.html
http://science.nasa.gov/temp/NOAA12Loc.html
http://science.nasa.gov/temp/NOAA15Loc.html

   Thirty minutes real time data on the location (altitude, longitude, latitude)
for every minute should be collected for each satellite.
   Using the data collected, calculate the arc length (distance traveled) every
minute. Calculate the average speed for each minute in km/hr.
   Group discussion should include:
(1) Compare the calculated average speeds for each minute of each
satellite. Is the speed changing?
(2) Compare the calculated average speeds of one satellite with the
other satellite. Are the results relatively close?

4
(3) Using the calculated values obtained and the physical quantities
involved in the calculation, what is “uniform circular motion” and
what factors influence the speed of a satellite.

   Tabulate your data and calculation results for each satellite and post the
results online.
   Be prepared to discuss your team’s results and conclusions in class.

5
Assessment

The students will be assessed as follows:
CRITERION                                                                     YES NO
Did you go to the course website to read the instructions?
Did you collect real time data on the location of two satellites at
approximately the same altitude for 30 minutes?
Did you calculate the distance traveled for every minute of each satellite?
Did you calculate the average speed of each satellite for each one minute
interval?
Did you compare the average speed (minute by minute) of one satellite for
the 30 minutes time interval?
Did you compare the average speed (minute by minute) of other satellite for
the 30 minutes time interval?
Did you discuss the results as a group?
Did you post your results online?
Did you discuss your results and conclusions orally in class?
Were all the members of the group actively involved in the project?
TOTAL COMPLETE ( Need 10 for an A, 9 for a B, 8 for a C)

6
This RWLO could be applied in the following courses: PHYS 100, PHYS 122,
PHYS 151, and PHYS 170. Specifically, this RWLO meets the following course
competencies:

(b) Demonstrate an understanding of and insights into the concepts
and principles related to the kinematics of motion

(c) Demonstrate insights into the associations and relationships of
topics treated in the course

(d) Utilize calculation techniques with mathematically formulated
principles

(e) Identify and assess quantitative information in terms of physical
principles

(f) Distinguish and define the mathematical proportionality in physical
principles

7
Supplementary Resources

(g) http://www.math2.org/math/geometry/circles.htm - site to review the
definitions and how to calculate the different parts of a circle

(h) http://www.themathpage.com/aTrig/arc-length.htm - site to review
relationship of arc length and angle subtended

(i) http://nationalatlas.gov/articles/mapping/a_latlong.html - site to
review definitions of latitude and longitude on the earth’s surface

(j) http://www.wcrl.ars.usda.gov/cec/java/lat-long.htm - site that
calculates surface distance between points of latitude and longitude

(k) http://www.physicsclassroom.com/Class/1DKin/U1L1d.html - site to
review basic concepts of average speed and average velocity

8
Recommendations

Recommendations for Integration:
 This RWLO is intended to be a group activity done outside of class to help
introduce the concept of uniform circular motion. Therefore, it is
recommended that this be assigned before the concept is discussed in
class.

   It is recommended that a review of the concept of speed and the parts of a
circle and how to calculate the different parts of a circle be done before
activity is assigned.

   It is recommended that the groups be small (3 - 4 members) so that each
member will be a major participant in the project.

   It is recommended that results of each group be posted online so that the
different groups can compare and discuss their results and conclusions in
class.

   Based on the group conclusions, it is recommended that the class agree
on a general conclusion and this can then be used to introduce the
concept of uniform circular motion.

Back-up:
 Print out the Student Learning Objectives, Procedures, Content Material,
Assessment, and Supplementary Resources, a sample table for input of
the data and calculation results and provide students with a copy.

   Make a PowerPoint slide series of the Procedures, Content Material,
Assessment, and Supplementary Resources, a sample table for input of
the data and calculation results for off-line reference.

   If internet connection is not available at home, computers for data
collection are available at the school’s Computer Center or at the Physics
Lab.

9

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