How to calculate theoretical values for a ride?

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SUMMARY

This discussion focuses on calculating theoretical values for a roller coaster ride using known parameters such as height and mass. Participants suggest starting with an initial velocity close to zero at the highest point of the ride for theoretical calculations. Additionally, they emphasize the importance of accounting for friction and the need to consider all three spatial coordinates for accurate modeling. The conversation highlights the necessity of establishing initial conditions to align theoretical data with experimental results.

PREREQUISITES
  • Understanding of basic physics principles, particularly energy conservation.
  • Familiarity with roller coaster dynamics and motion equations.
  • Knowledge of frictional forces and their impact on motion.
  • Ability to interpret and analyze accelerometer data.
NEXT STEPS
  • Research energy conservation principles in roller coaster physics.
  • Learn about the effects of friction on roller coaster performance.
  • Explore methods for calculating initial and final velocities in motion analysis.
  • Study the use of accelerometers in measuring motion and forces.
USEFUL FOR

Physics students, mechanical engineers, amusement park designers, and anyone involved in the analysis and design of roller coaster dynamics.

charlotteyip
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Hi,
I've done a prac at school where we had to take an accelerometer onto a ride and obtain a graph in at duration. However, the data I've obtained (Acceleration in X, Y Z and resultant) is experimental data. I need to calculate theoretical data for certain segments of the ride. Assuming that I know the height of each segment, is it possible to calculate theoretical data for this? I do not know the initial velocity or final velocity of any of the points. I do know the mass of the rollercoaster and its height from the ground.

Thanks in anticipation!
 
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You'll need some initial conditions - a reasonable assumption might be a velocity of nearly zero at the top. Alternatively, take the initial value that gives the best theory/experiment agreement.
For a real roller coaster, you also have to consider friction.
And, assuming your roller coaster is not one-dimensional, you'll need all three coordinates for each point.
 

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