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

[reanamate]

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.

 

[reanamate]

I forgot to add that I am trying to find How far the bug gets from the center before slipping?

 

[kuruman]

You have the wrong expression for the centripetal force. The correct expression is F_c = m v²/r. What you have is F_c = v².

 

[haruspex]

What you have is F_c = 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.

 

[reanamate]

That worked I just need .022 thanks for the help.

 

[kuruman]

No, @reanamate has rω².

Having misread the parentheses, I stand corrected.