Ahigh school physics instructor catches one of his students chewing gum in class. he decides to discipline the student by asking that he stick the gum to a fan and calculate how fast the fan is moving when the gum gets thrown off. the label says that the diameter of the fan is d = 39 cm, and at full speed it turns at a rate of f = 55 rev/s, and that the fan is guaranteed to accelerate uniformly. the fan takes t = 11 s to go from rest to full speed. calculate the maximum the angular velocity of the fan ωmax, in radians per second.