Rotational Mechanics! (Basic)

A solid body starts rotating about a stationary axis with an angular acceleration \(\alpha=(2 \times 10^{-2})t\ \text{ rad}\ \text{ s}^{-2}\), here, \(t\) is in seconds. How soon after the beginning of rotation will the total acceleration vector of an arbitrary point of the body form an angle of \(\theta=60^{\circ}\) with its velocity vector?

Round your answer to the nearest integer.

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