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Striking Up a Coefficient of Restitution

Striking Up a Coefficient of Restitution. Madeleine Holsinger – Warren Woods Tower Danielle Yoskovich – Cousino. Problem Statement. To determine whether or not temperature has a significant effect on the coefficient of restitution of a softball. Coefficient of Restitution. 0 < COR < 1

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Striking Up a Coefficient of Restitution

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  1. Striking Up a Coefficient of Restitution Madeleine Holsinger – Warren Woods Tower Danielle Yoskovich – Cousino

  2. Problem Statement To determine whether or not temperature has a significant effect on the coefficient of restitution of a softball

  3. Coefficient of Restitution • 0 < COR < 1 • Higher bounce = Higher COR

  4. Elastic Potential Energy • Potential Energy • Similar to a spring

  5. Hypothesis Temperature will have a significant effect on the coefficient of restitution of a softball and the highest temperature will have the greatest bounce height.

  6. Materials

  7. Heating

  8. Cooling

  9. Procedure

  10. Analyzing Data LoggerPro

  11. Analyzing Data = = = Potential Energy

  12. Comparing the Data Means: 0.651 0.687 0.704 0.667 0.696 0.705

  13. Observations

  14. Influence of Temperature • Change in potential energy

  15. 2 Sample ttest

  16. Check Assumptions • SRS • N ≥ 30 • Two independent populations

  17. High and Low t test Ho: µhigh = µlow Ha: µhigh ≠ µlow P-value of 7.18 x 10-11 Reject the Null - There is a Significant Difference

  18. High and Standard t test Ho: µhigh = µstandardHa: µhigh ≠ µstandard P-value of 1.10 x 10-5 Reject the Null - There is a Significant Difference

  19. Standard and Low t test Ho: µstandard = µlowHa: µstandard ≠ µlow P-value of 6.48 x 10-3 Reject the Null - There is a Significant Difference

  20. Is There a Difference? • YES • All of the P-values were Rejected • Less Than Alpha Level of 0.05

  21. Design/Human Errors • Ball Bouncing Sideways and Forward • Heating of Ball • Cooling of Ball

  22. Further Research • Using a bat • Changing the design

  23. Recap • Purpose • Performance • Rejection of Null Hypothesis

  24. Conclusion • Hypothesis was REJECTED • Coldest Temperature has highest COR • Significant Difference Between Temperatures

  25. Acknowledgements • Matthew Perkins – Oak Ridge High School • Mr. McMillan • Mrs. Cybulski

  26. Bibliography "Bouncing Balls." Physics Circus. UCSB, 2 Nov. 2012. Web. 04 Apr. 2013. <http://web.physics.ucsb.edu/~circus/energydemo.htm>. Cull, Tom. "Does the Temperature of a Baseball Affect It's Rebound Rating?" Re: Does the Temperature of a Baseball Affect It's Rebound Rating?MadSci Network, n.d. Web. 04 Apr. 2013. <http://www.madsci.org/posts/archives/2000-01/949096006.Ph.r.html>. Elert, Glenn. "Coefficients of Restitution." Coefficients of Restitution. Hypertextbook, 2006. Web. 04 Apr. 2013. <http://hypertextbook.com/facts/2006/restitution.shtml>. Lapedes, Daniel N. "Dictionary of Physics and Mathematics." McGraw-Hill Dictionary of Physics and Mathematics. 2nd ed. N.p.: McGraw-Hill Dictionary of Scientific and Technical Terms, 1978. 167. Print. McMillan, Greg. Macomb Mathematics Science Technology Center, Warren. 10 Apr. 2013. Lecture. Nathan, Alan M. "The Physics of Baseball." The Physics of Baseball. N.p., n.d. Web. 07 Apr. 2013. <http://baseball.physics.illinois.edu/>. Russel, Daniel A. "Bat-Ball Coefficient of Restitution." Explaining the BBS Standard for ASA Softball. N.p., n.d. Web. 07 Apr. 2013. <http://www.acs.psu.edu/drussell/bats/bbs-asa.html>. Silverstein, Alvin, Virginia Silverstein, and Laura Silverstein Nunn. Forces and Motion. N.p.: Lerner Group, 2009. Print. Science Concepts. Wiggins, Arthur W. The Joy of Physics. Amherst: Prometheus, 2011. Print.

  27. Questions?

  28. Questions?

  29. Questions?

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