physics six flags project justin archer nick gaumer andrew wang baughman-6 garett pesnell baughman-5
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Physics Six Flags Physics Six Flags ProjectProject
Justin ArcherNick Gaumer
Andrew WangBaughman-6
Garett PesnellBaughman-5
QuestionQuestionHow areHow are g-force valuesg-force values related if at related if at
all toall to kinetic energykinetic energy onon the Mr. the Mr. Freeze ride at Six Flags?Freeze ride at Six Flags?
HypothesisHypothesis: There is a linear positive : There is a linear positive relationship between the number relationship between the number of g-forces & potential energy of g-forces & potential energy
If a linear correlation existsIf a linear correlation exists::• Create a linear best-fit lineCreate a linear best-fit line
If a nonlinear correlation existsIf a nonlinear correlation exists::• Create a power regression equationCreate a power regression equation• Create a logarithmic equationCreate a logarithmic equation
Hypothesis & ProposalHypothesis & Proposal
Materials usedMaterials usedData CollectionData Collection• Logger ProLogger Pro• LabProLabPro• ComputerComputer• TI-84TI-84• Single-axis accelerometerSingle-axis accelerometer
Data interpretation and Data interpretation and presentationpresentation
• Microsoft Excel and PowerpointMicrosoft Excel and Powerpoint• Macromedia Fireworks and FlashMacromedia Fireworks and Flash• Camtasia StudioCamtasia Studio
Raw Data from Raw Data from LoggerProLoggerProVisual representation of Visual representation of timetime (seconds) being on the (seconds) being on the
x-axis and x-axis and accelerationacceleration (m/s (m/s22)being on the y-axis)being on the y-axis
Data CalculationData CalculationTo get To get G-forceG-force • Acceleration values / 9.81 (acceleration Acceleration values / 9.81 (acceleration
of of gravity)gravity)• x 602 data pointsx 602 data pointsTo get To get Kinetic energyKinetic energy• Derivative of acceleration to get Derivative of acceleration to get
velocityvelocity• Estimated car mass values (3884.43 kg) Estimated car mass values (3884.43 kg)
assuming that cars are full and the assuming that cars are full and the average average person weighs 170 pounds on earthperson weighs 170 pounds on earth
• Squared velocity and multiplied it by Squared velocity and multiplied it by mass mass values. Divided the entire value by values. Divided the entire value by 2.2.
• x 602 data pointsx 602 data points
Visual Representation Visual Representation of Dataof DataG-forcesG-forces (x-axis) and (x-axis) and kinetic energykinetic energy (y- (y-
axis)axis)
Visual Representation Visual Representation of Dataof Data
G-forcesG-forces (x-axis) and (x-axis) and kinetic energykinetic energy (y-axis) (y-axis)
Results from Analysis of Results from Analysis of DataDataG-forcesG-forces (x-axis) and (x-axis) and kinetic energykinetic energy (y- (y-
axis) axis)
TypeType of correlation: of correlation:• Linear, power regression, and Linear, power regression, and
logarithmic regression (nonlinear) logarithmic regression (nonlinear) formulas all fail at producing a formulas all fail at producing a method to extrapolate or predict method to extrapolate or predict further data points.further data points.
• EquationEquation of correlation: of correlation:– NoneNone
ConclusionConclusionBased on analysis of a scatter plot with Based on analysis of a scatter plot with
g-forces being the explanatory g-forces being the explanatory variable (x-axis) and the magnitude of variable (x-axis) and the magnitude of kinetic energy (y-axis), kinetic energy (y-axis), no clear no clear correlationcorrelation was discovered nor was discovered nor calculated. Thus the hypothesis is calculated. Thus the hypothesis is void and the correlation is void and the correlation is determined to be nonexistent. determined to be nonexistent. However However more trialsmore trials and the and the actual actual mass amountmass amount would be necessary to would be necessary to be confident of this statement.be confident of this statement.
Click to launch animated data Click to launch animated data analysisanalysis
Click to see video of the Mr. Click to see video of the Mr. Freeze rideFreeze ride
MultimediaMultimedia
Video was shot from the mirror-image Mr. Freeze Video was shot from the mirror-image Mr. Freeze ride in Six Flags of St. Louis. ride in Six Flags of St. Louis.