Ferris Wheel Physics: Solving for Weightlessness Velocity

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Discussion Overview

The discussion revolves around determining the velocity required for a person at the top of a ferris wheel with a 15-meter diameter to experience weightlessness. Participants explore the definition of weightlessness and the relationship between centripetal acceleration and gravitational acceleration.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant questions how to define weightlessness, initially attempting to set mg=0 without success.
  • Another participant suggests that a person is weightless at the top of the ferris wheel when the only source of centripetal force is gravity, indicating a state of freefall.
  • A third participant defines weightlessness as the condition where acceleration matches the local acceleration due to gravity.
  • There is a proposal to calculate the speed at which centripetal acceleration equals gravitational acceleration.
  • A participant raises the question of whether this is a homework problem, implying a potential context for the discussion.

Areas of Agreement / Disagreement

Participants express varying definitions of weightlessness and its implications, with no consensus reached on the approach to solving the problem or the specific conditions required for weightlessness.

Contextual Notes

Participants have not resolved the assumptions regarding the definitions of weightlessness and the necessary calculations for centripetal acceleration. The discussion remains focused on conceptual clarifications and interpretations.

brendan3eb
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I have a problem asking me what velocity must be achieved so that a person on at the top of a ferris wheel with a 15-m diameter can feel weightless. I am wondering how you define weightless. At first I tried setting mg=0, but I couldn't get anywhere that way.
 
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At the top of the ferris wheel, a person is weightless when the only source of centripetal force (the inwards force) is gravity. For that brief moment, the person is in freefall.
 
Weightlessness is simply where your acceleration exactly matches the local acceleration due to gravity.
 
Right, so putting that together, you need to calculate the speed at which the centripetal acceleration equals g.

Is this a homework problem...?
 

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