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Analyzing Amusement Park Graphs

This teaching activity aims to help students analyze data collected from California's Great America's rides, focusing on understanding different types of graphs related to forces and acceleration experienced during rides like Vortex, Orbit, and Drop Tower. By examining smoothed graphs for altitude versus time, vertical and lateral forces, and acceleration profiles, students will enhance their comprehension of graphical information and data interpretation. Educators are encouraged to guide students in exploring their data, fostering a deeper understanding of the physics involved in amusement park rides.

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Analyzing Amusement Park Graphs

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  1. Analyzing Amusement Park Graphs California’s Great America 2012 Clarence Bakken Teacher Steering Committee

  2. Goals of this Activity • Help students understand graphs they obtain via electronic data collection • Help teachers assist students in understanding their data • Attain greater understanding of graphical information

  3. The Ride: Vortex

  4. Complete Set of Graphs

  5. Complete Set Smoothed

  6. Altitude vs. Time Lift hill Corkscrew Loop Ride Profile

  7. Vertical Acceleration/Forces Corkscrew Altitude (m) Bottom of Hill(Start of loop) Dip at end of initial section Vertical (m/s/s) Vertical Forces

  8. Corkscrew Altitude (m) Left turn top of lift hill Left turn thru corkscrew Left turn at end of run-on Lateral (m/s/s) Right turnbefore corkscrew Lateral Forces Lateral Acceleration/Forces

  9. Longitudinal Acceleration/Forces Lift Hill Longitudinal Forces Pushed forward - “Falling” backward Held back - Pitching forward…

  10. The Ride: Orbit

  11. Vertical & Longitudinal Maximum Longitudinal Force - mid-level Vertical Force Maximum Vertical Force – zero Longitudinal Force Vertical (m/s/s) Longitudinal (m/s/s) Vertical and Longitudinal

  12. Vertical Acceleration/Force 44.9 sec / 11 periods = 4.1 sec/period ~1.8 g’s ~2g’s Vertical Forces

  13. Longitudinal Acceleration/Force + 1g - 1g Longitudinal Acceleration

  14. The Ride: Centrifuge

  15. Complete Set of Graphs Lateral Forces Longitudinal Forces

  16. Lateral Acceleration/Force 30 periods = 33 sec T = 1.1 sec Midpoint = 10 m/s/s = 1 g Lateral Forces

  17. The Ride: Drop Tower

  18. Ride Profile & Vertical Force Parabolic Altitude (m) Vertical (m/s/s) 3 sec Complete Set of Graphs

  19. Exponential decay Coupling change 3 sec Vertical Force

  20. Conclusion • Need to know direction of accelerometer(s) • Relate to orientation of rider • Relate to location on the ride • Give students opportunity to scour over data, too! • Smooth the data for easier analysis

  21. Have a great time at Great America!

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