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## Homework Statement

There is a 2.30 m diameter flywheel, with a mass of 75.0 kg. For safety/structural (or whatever) reasons, the acceleration at a point on it's rim cannot exceed 3430 m/s^2.

What is the max KE that can be stored in the flywheel?

## Homework Equations

[itex]KE = \frac{1}{2}Iω^{2}[/itex]

[itex]I = kmr^{2}[/itex]

The constant k, for a solid uniform disk is [itex]\frac{1}{2}[/itex]

## The Attempt at a Solution

[tex]KE = \frac{1}{4}(75.0)(1.15^{2})ω^{2}[/tex]

I'm not sure how to go about getting this in terms of radial acceleration?

I was thinking that I could somehow use the relationship that linear acceleration (a) = radial acceleration (α) times the radius.

[tex]a = αr[/tex]

But that is not panning out at all. Can someone give me some direction please?

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