Calculating angle of elevation in a ticker tape lab

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SUMMARY

The discussion focuses on calculating the angle of elevation of a ramp using ticker tape data in a grade 12 physics lab. Participants recommend utilizing trend lines in the velocity and acceleration graphs to mitigate data jitter caused by measurement rounding. By accurately determining the slope of the velocity graph and the constant acceleration value, students can apply formulas for accelerated motion to derive the angle of the ramp from the calculated acceleration.

PREREQUISITES
  • Understanding of ticker tape analysis
  • Familiarity with position-time, velocity-time, and acceleration-time graphs
  • Knowledge of formulas for accelerated motion
  • Proficiency in using Excel for graphing and data analysis
NEXT STEPS
  • Learn how to apply trend lines in Excel for data smoothing
  • Study the equations of motion for uniformly accelerated objects
  • Research methods for calculating angles of elevation from acceleration data
  • Explore techniques for reducing measurement error in experimental physics
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High school physics students, educators teaching kinematics, and anyone involved in experimental data analysis in physics labs.

daee
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Hi, I'm currently doing a lab for gr.12 physics and it involves calculating the angle of elevation of a ramp by using information from ticker tapes.

We're given a ticker tape and from that I made a position-time graph, velocity-time graph and acceleration time graph. Now I'm unsure where to start.

If anyone can give me a few hints as to where to start that would be appreciated.

Here's a link to an excel file with the graphs you can take a look if you're not sure what I'm talking about. http://www.mediafire.com/view/?ojmtzyianwl5nqi
 
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Welcome to PF, Daee!

Nice work in the spreadsheet! I would recommend using a trend line rather than connecting the dots on the velocity and acceleration graphs - tickertape data has a lot of jitter in it due to rounding the distance measurements and this will be smoothed out by trend lines. Then you can accurately find the slope on the velocity graph and the constant value of the acceleration for most of the run.

On the theory side, what could you predict about those graphs if you knew the angle of the ramp? You probably have formulas for accelerated motion that you could use to work out the acceleration depending on the angle. Knowing the acceleration from the graphs, you should be able to work the formulas backwards and solve for the angle.
 
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