Summary of the kinematic equations for constant acceleration. The bar over the v means average. The initial values of time, position, and velocity to be 0, 0, and v0, respectively.
Formulas from dynamics and energy. (Use 9.81 m/s2 for g.)
Conversion Factors
1 inch = 2.54 cm (exact) 1 h = 3600 s
1 ft = 30.48 cm (exact) 1 d = 86,400 s
1 m = 39.37 in. 1 kg = 1000 g
1 lb = 4.45 N
1 kg has a weight of 2.21 lbs
A.2 Suppliers and Books
Accelerometers Accelerometers can be made or bought as kits. In addition to the instructions found in this booklet the following may be useful.
Amusement Park Physics, A Teachers Guide, Nathan A. Uterman, (J. Weston Walch, Portland, 1990) pages 19-47. Making horizontal and vertical accelerometers, practice problems; using accelerometers in cars, elevators, swings, etc. The author has a web page at http://newton.dep.anl.gov/hwp/unterman_n.html
Amusement Park Physics, Carole Escobar, Editor, (American Association of Physics Teachers, College Park, 1994) Thorough discussion of the physics and the measurements. Contains reprints of papers on amusement park rides. This can be ordered from Pasco and from AAPT (www.aapt.org)).
Carole Escobar, ÒAmusement Park Physics,Ó The Physics Teacher, Vol. 28, # 7, pp. 446-453, (October 1990).
Roller Coaster Science, Jim Wiese (Wiley, New York, 1994) pages 25-26. Making a simple g meter, testing on a merry-go-round and in a car, pages 25- 26.
Local Sources: Both rigid and flexible tubing can be found at home builders suppliers, hardware stores, fish stores, and hobby shops. Flexible tubing is cheapest at larger stores. A good type of rigid tube is the shields sold to cover fluorescent lamps. Both can usually be bought in longer lengths and cut to size.
Kits for making about fifteen horizontal and vertical accelerometers may be bought for about $63 (mid 1998). The kits may be ordered from, among others:
Science Kit and Boreal Laboratories
777 East Park Drive
Tonawanda,
NY 14160 -6781
716 - 874 - 6020 and 213 - 994 - 6317
Sargent-Welch
P.O. Box 5229
Buffalo Grove, IL 60089-5229
800 - 727 - 4368 Phone
http://www.sargentwelch.com
Pasco
P.O. Box 619011
10101 Foothills Blvd.
Roseville, CA 95678 - 9011
916 - 786 -3800 Phone 916 - 786 - 8905 Fax
sales@pasco.com Sales Information
http://www.pasco.com
For those who may want to use graphing calculators and the associated probes and sensors.
Vernier Software
8565 SW Beaverton - Hillsdale Highway
(503) 297 - 5317
http://www.vernier.com
http://homepage.mac.com/cbakken/pga/
Clarence BakkenÕs work with
Physics Day at Great America Park.
http://solomon.physics.sc.edu/~tedeschi/midway/bigtop.html.
The web site for the University of South Carolina Midway Physics Day.
http://www.glenbrook.k12.il.us/gbssci/phys/Class/circles/u612b.html
Excellent background. Detailed look at looping coasters.
http://newton.dep.anl.gov/
Ask a scientist service.
http://www.joyrides.com/links.htm
Usergroups, directories, databases, etc.
http://141.104.22.210/Anthology/Pav/Science/Physics/book/home.html
Explanations of rides with numerical examples.
http://rollercoaster.com/web_links/
Photos, park locations.
http://www.gunn.palo-alto.ca.us/physlab/plab99/labs/nmorley/rollercoaster.htm
Good classroom activity, explanations of lab, photos.
http://curie.uncg.edu/~mturner/title.html
Questions and activities for 6 rides, and two playground rides.
http://www.learner.org/exhibits/parkphysics/
General overview of rides with
conceptual examples.
http://www.linfield.edu/~twsobey/Coaster/
Some equations. Assumes some background.
http://www,esc2,bet/TIELevel2/projects/roller/default.htm
Activities and guide. Many resources.
http://www.cinternet.net/~bowersda/history.htm
History of roller coasters.
http://library.thinkquest.org/2745/data/openpark.htm
Mostly accurate discussion of rides. Some vector diagrams hard to decipher.
http://www.phy.nau.edu/~danmac/AAPTDB/
AAPT articles.
http://dalton.gamstc.org/get-it/lessons/by-district/flint/aguthrie
Science of park rides background
for elementary teachers.
We will continue Midway Physics Day at the South Carolina State Fair. Help us
prepare for the next one by sending suggestions and comments for improving the guide to:
Rudy Jones Kitty Farnell
Department of Physics & Astronomy Lexington and Richland School District Five
University of South Carolina 1020 Dutch Fork Road
Columbia, SC 29208 PO Box 938
rjones@sc.edu Ballentine, SC 29202
803 - 777 - 6714 kfarnell@lex5.k12.sc.us