Question: The motor M begins rotating at an angular rate = a(1 e bt ). If the pulleys and fan have the radii shown,
The motor M begins rotating at an angular rate ω = a(1 − ebt). If the pulleys and fan have the radii shown, determine the magnitudes of the velocity and acceleration of point P on the fan blade when t = t1. Also, what is the maximum speed of this point?

Given: a = 4 rad b = -1 S - S = 0.5 s r1 = 1 in r2 = 4 in r3 = 16 in
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