When does total acceleration equal 5.02 m/s² on a curved track?

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onetimeting
Homework Statement
A stuntman drives a dirt bike on a curved track with a radius of 7.50 m. If he starts from rest and accelerates at 2.35 m/s2, at what time will the magnitude of the total acceleration of the bike be 5.02 m/s2? (Hint: the tangential acceleration will stay constant at 2.35 m/s2.)

initial angular velocity: 0 rad/s
tangential acceleration: 2.35 m/s2 (constant)
radius=7.50 m
total acceleration=5.02 m/s^2

The attempt at a solution

What I have done thus far is find the centripetal acceleration using the total and tangential acceleration. Then I used the centripetal acceleration and the radius to find the velocity. But I am stuck what to do next, do I find alpha, omega? Any help would be very appreciated
 
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Hi onetimeting. :welcome:

Please show your working to find the centripetal accelaration.
 
onetimeting said:
sorry i was not able to navigate the symbols
You can attach a clear image of a neatly handwritten page.

Without seeing your working, we are not able to help further. That is how the homework help works.