A motorized wheel is spinning with a rotational velocity of ω0 = 1.65 rad/s. At t = 0 s, the operator switches the wheel to a higher speed setting. The rotational velocity of the wheel at all subsequent times is given by :

where c = 1.5574 and b = 6.09 s-2. At what time, tamax, is the rotational acceleration a maximum?

What is the maximum tangential acceleration, at, of a point on the wheel a distance R = 1.15 m from its center?

What is the magnitude of the total acceleration of this point?

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