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Centripetal force

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A device for training astronauts is designed to rotate the trainee in a horizontal circle of radius 10.8 m. If the force felt by the trainee is 7.30 times her own weight how fast is she rotating?

I started with a=v2/R but can go no further. Where do I go from here?

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Notations: when we write v^2 it means "v squared", sqrt(X) means "square root of X", etc

The trainee feels a force which has a horizontal component and a vertical component.

The vertical component is mg, where g = 9.8 m/s^2 is the usual free fall ...

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