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Physics Six Flags Project. Justin Archer Nick Gaumer Andrew Wang Baughman-6 Garett Pesnell Baughman-5. Question. How are g-force values related if at all to kinetic energy on the Mr. Freeze ride at Six Flags?. Hypothesis & Proposal.
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Physics Six Flags Project Justin Archer Nick Gaumer Andrew Wang Baughman-6 Garett Pesnell Baughman-5
Question How areg-force valuesrelated if at all tokinetic energyonthe Mr. Freeze ride at Six Flags?
Hypothesis & Proposal Hypothesis: There is a linear positive relationship between the number of g-forces & potential energy If a linear correlation exists: • Create a linear best-fit line If a nonlinear correlation exists: • Create a power regression equation • Create a logarithmic equation
Materials used Data Collection • Logger Pro • LabPro • Computer • TI-84 • Single-axis accelerometer Data interpretation and presentation • Microsoft Excel and Powerpoint • Macromedia Fireworks and Flash • Camtasia Studio
Raw Data from LoggerPro Visual representation of time (seconds) being on the x-axis and acceleration (m/s2)being on the y-axis
Data Calculation To get G-force • Acceleration values / 9.81 (acceleration of gravity) • x 602 data points To get Kinetic energy • Derivative of acceleration to get velocity • Estimated car mass values (3884.43 kg) assuming that cars are full and the average person weighs 170 pounds on earth • Squared velocity and multiplied it by mass values. Divided the entire value by 2. • x 602 data points
Visual Representation of Data G-forces (x-axis) and kinetic energy (y-axis)
Visual Representation of Data G-forces (x-axis) and kinetic energy (y-axis)
Results from Analysis of Data G-forces (x-axis) and kinetic energy (y-axis) Type of correlation: • Linear, power regression, and logarithmic regression (nonlinear) formulas all fail at producing a method to extrapolate or predict further data points. • Equation of correlation: • None
Conclusion Based on analysis of a scatter plot with g-forces being the explanatory variable (x-axis) and the magnitude of kinetic energy (y-axis), no clear correlation was discovered nor calculated. Thus the hypothesis is void and the correlation is determined to be nonexistent. However more trials and the actual mass amount would be necessary to be confident of this statement.
Click to launch animated data analysis Multimedia Click to see video of the Mr. Freeze ride Video was shot from the mirror-image Mr. Freeze ride in Six Flags of St. Louis.