What does the magnitude of a angular acceleration refer to?

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The angular velocity changes from v_1 to v_2 over a time interval dt, where the angular velocity is in the form f * axis. Here, f represents the rate of spinning measured in radians per second, and axis indicates the axis around which the rotation occurs.

I calculate the angular acceleration using the formula (v_2 - v_1) / dt. Is this calculation accurate? If so, what does the magnitude of this angular acceleration signify?

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