Centripetal Force Experiment: Impact of Free Mass on Error

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SUMMARY

The centripetal force experiment discussed utilizes the PASCO ME-8088 apparatus to investigate the impact of free mass on percentage error. The key equation governing the experiment is F = Mω²R, where friction between the free mass and the rotating arm, misalignment of the cable, and pulley inertia are identified as primary sources of error. It is concluded that increasing the free mass does not reduce percentage error due to increased friction, which exacerbates measurement inaccuracies.

PREREQUISITES
  • Understanding of centripetal force and its equation F = Mω²R
  • Familiarity with experimental apparatus, specifically PASCO ME-8088
  • Knowledge of frictional forces and their impact on measurements
  • Basic principles of rotational inertia and its effects on experiments
NEXT STEPS
  • Research methods to minimize friction in experimental setups
  • Learn about the effects of misalignment in force measurement systems
  • Explore the concept of rotational inertia and its implications in physics experiments
  • Investigate best practices for conducting centripetal force experiments
USEFUL FOR

Physics students, laboratory technicians, and educators involved in experimental mechanics and centripetal force studies will benefit from this discussion.

andyfeynman
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Homework Statement


I'm doing the lab report questions for the centripetal force experiment using this apparatus: ftp://ftp.pasco.com/Support/Documents/english/ME/ME-8088/012-08478B.pdf.

One of the lab questions asks whether using a larger "free mass" reduces the percentage error.

Homework Equations


F=Mω2R

The Attempt at a Solution


I think there are three main sources of error:
1. there is friction between the "free mass" and the rotating arm as it may not completely free to slide along the groove.
2. the cable may not be completely vertical. Therefore the force sensor may measure an extra horizontal component of the tension.
3. the pulley is not frictionless and it has a rotational inertia

Then I guess it won't because a larger mass implies greater friction between the mass and the rotating arm, hence larger error. But I'm not really sure...
 
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The purpose of the lab report is for you to take your best shot at the answers. I recommend that you have a little confidence and say what you think. It sounds like you've done a pretty good job so far.

Chet
 

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