Centripetal Motion and Masses at the Fair

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    Centripetal Motion
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Discussion Overview

The discussion revolves around the concept of centripetal motion as it relates to amusement park rides, specifically focusing on why chairs on a rotating ride rise to the same angle despite varying masses of the occupants. The scope includes theoretical explanations and applications of physics principles.

Discussion Character

  • Technical explanation, Conceptual clarification, Exploratory

Main Points Raised

  • One participant questions why chairs on a ride rise at the same angle despite different masses, suggesting a need for clarification on the underlying physics.
  • Another participant explains that the angle of rise is determined by the ratio of centripetal force to weight, noting that mass cancels out in this relationship.
  • A later post asks for a specific procedure to calculate the height each chair rises, indicating a desire for a more detailed understanding.
  • Another participant responds by referencing Newton's 2nd law and the role of tension in the chain, suggesting a method to calculate the angle based on forces acting on the chairs.

Areas of Agreement / Disagreement

Participants appear to agree on the principle that mass cancels out in the context of centripetal motion, but the discussion includes requests for further clarification and procedural details, indicating that some aspects remain unresolved.

Contextual Notes

The discussion does not delve into specific mathematical derivations or assumptions that may influence the calculations, leaving some steps and dependencies unspecified.

Who May Find This Useful

This discussion may be useful for individuals interested in physics concepts related to motion, particularly those exploring the dynamics of amusement park rides and centripetal forces.

catenn
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Hi, I was told about Centripetal Motion and learned some about rides at the fairs. There is one ride with chairs hanging by a chain in a circle that simply rotates at a certain speed without turning at any angle. Does anyone understand why all of the chairs move up at the same angle even though each person will have a different mass, and even the empty chairs move the same. How can all of the masses cancel? Thanks.
 
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It turns out that the angle a chair rises depends on the ratio of the centripetal force (which is proportional to mass) to the weight (which is also proportional to mass). So the mass does cancel. As long as the chains are the same length, the seats will rise to the same angle for a given angular speed regardless of the mass of the person.
 
Thank you very much!
 
What procedure do you exactly follow to determine the height each chair is going to rise?
 
Apply Newton's 2nd law. The chairs are centripetally accelerated, so there is a net force in the horizontal direction. Realizing that the tension in the chain acts along its length allows you to calculate the angle the chain makes with the vertical.
 

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