Does Distance from Center Affect Acceleration in a Spinning Disk?

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Discussion Overview

The discussion centers on whether the distance from the center of a spinning disk affects the acceleration experienced by an object on the disk. Participants explore the implications of centripetal acceleration in this context.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions if the acceleration experienced by an object 5 feet from the center is the same as that experienced by an object 5 miles from the center, focusing solely on acceleration.
  • Another participant asserts that the acceleration is not the same, referencing the centripetal acceleration equation.
  • A third participant provides the formula for centripetal acceleration, indicating that acceleration is directly proportional to the distance from the center of rotation.
  • A later reply expresses a light-hearted acknowledgment of confusion in the discussion.

Areas of Agreement / Disagreement

Participants generally disagree on the question posed, with some asserting that acceleration varies with distance while others provide supporting equations without resolving the initial query.

Contextual Notes

The discussion does not clarify the assumptions underlying the centripetal acceleration equation or the specific conditions of the spinning disk scenario.

TheAntiRelative
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If I take a perfectly rigid disk 10 miles in diameter and set it spinning at a constant speed. Is the constant acceleration an object experiences riding 5 feet from the center the same as it would be if it were 5 miles from the center? I know many other things would be different but I mean the acceleration alone.

Thanks
 
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No, this follows directly from the centripetal acceleration equation (as well as intuition).
 
No

a = -(2Pi/T)^2 *r (Wish I could learn Latex..)


The acceleration is directly proportional to the distance from the centre of rotation.
 
Ahhh... momentary insanity. Isn't it great? :rolleyes:
 

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