Investigating terminal velocity

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SUMMARY

The discussion focuses on determining the terminal velocity of an object, specifically a bun-case, using a series of experiments involving precise measurements and timing. Participants emphasize the importance of calculating average speed (height/time) at various drop heights, noting that the average speed will eventually plateau, indicating the terminal velocity. They suggest that while the plateau may not be reached during the experiment, estimating its position is crucial, potentially requiring a mathematical model to analyze velocity changes during descent.

PREREQUISITES
  • Understanding of basic physics concepts, particularly motion and velocity.
  • Familiarity with graphing techniques for data analysis.
  • Experience with measurement tools such as calipers and stopwatches.
  • Knowledge of mathematical modeling for physical phenomena.
NEXT STEPS
  • Research methods for calculating terminal velocity in physics experiments.
  • Learn about graphing techniques for plotting time versus height and speed versus height.
  • Explore mathematical models for velocity changes during free fall.
  • Investigate the effects of air resistance on falling objects.
USEFUL FOR

This discussion is beneficial for physics students, educators conducting experiments on motion, and anyone interested in understanding the principles of terminal velocity and data analysis in experimental physics.

MBBphys
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Homework Statement


So, we were given these instructions to find the terminal velocity reached by an object falling through the air:
Equipment: bun-case; access to balance; calipers; metre rule; stopwatch.

Instructions:

1. Record the mass of the bun-case
2. Measure with a recorded precision the dimensions of the bun-case and draw a scale diagram of it.
3. Drop the bun case from approximately 1m above the ground and observe its fall.
4. Plan a method to time the fall of the bun case as accurately as possible.
5. Time the descent of the bun-case from 1m and then in increments up to a maximum of 2m to give sufficient data for analysis.
6. Plot a graph of time against height of drop
7. Plot a graph of average speed against height of drop

8. Use these graphs to estimate the terminal velocity and give your reasoning.

But how do we do that?

Homework Equations


(N/A)

The Attempt at a Solution


So, if you find the average speed (height/time) for each height at which you dropped it, eventually the average speed will plateau on the graph, equalling the terminal velocity?

Or is there a different reason? Thank you!
 
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MBBphys said:
So, if you find the average speed (height/time) for each height at which you dropped it, eventually the average speed will plateau on the graph, equalling the terminal velocity?
It probably won't reach that plateau in this test, but maybe you can estimate where the plateau would be. Not sure if it is intended here, but that could involve having a mathematical model for how the velocity varies during the descent (based on theory) and fitting it to the data.
Another approach does not involve finding average velocities, so again may not be what is sought. When you drop it from 1.1m, the first 1m should be exactly like the descent from 1m. What does that suggest?
 

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