Bug on spinning disk -- What distance does the bug fly off?

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Homework Help Overview

The problem involves a bug crawling outward on a spinning disc, with the objective of determining the distance the bug travels before slipping off due to the effects of centripetal force and static friction. The subject area includes concepts from rotational motion and friction.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between static friction and centripetal force, with some questioning the expressions used for centripetal force and acceleration. There are attempts to clarify the correct formulas and units involved in the calculations.

Discussion Status

Some participants have offered corrections regarding the expressions for centripetal force and acceleration, leading to a more precise value being suggested. There is an ongoing exploration of the problem, with no explicit consensus reached on the final answer.

Contextual Notes

Participants note discrepancies in the calculations and the potential impact of misinterpretation of the formulas. The original poster has indicated that their initial answer was deemed incorrect by an external source.

reanamate
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Homework Statement


A bug crawls outward from the center of a compact disc spinning at 210 revolutions per minute. The coefficient of static friction between the bug's sticky feet and the disc surface is 1.1.

Homework Equations


(static friction)(Gravity) = (centripetal force)
This may be wrong but I tried setting (Centripetal Force)= (Radius)(2(pi)(rps))^2

The Attempt at a Solution


I have been getting .02 m but the website I'm using is saying that it's wrong.
 
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I forgot to add that I am trying to find How far the bug gets from the center before slipping?
 
You have the wrong expression for the centripetal force. The correct expression is Fc = m v2/r. What you have is Fc = v2.
 
kuruman said:
What you have is Fc = v2.
No, @reanamate has rω2. Changing "centripetal force" to "centripetal acceleration" everywhere fixes all the issues.
I get the same answer - well, 0.022m to be a little more precise. Maybe that's the problem.
 
That worked I just need .022 thanks for the help.
 
haruspex said:
No, @reanamate has rω2.
Having misread the parentheses, I stand corrected.
 

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