Answers to homework problems:

Chapter 8 

4) Angular speed = angle/time = 2 * pi /0.033 s =1904 rad/s

6) angular acceleration = change in angular velocity/time =
                        = (480 rpm - 210 rpm)/74 min =
                        = 270 rpm/74 m = 270 * 2 * pi /60 s /(74*60s) =
                        = 0.0064 rad/s^2
22) use eq. 8.8 in Table 8.1
  omega^2 = omega_0^2 + 2* alpha*theta  
        ===> alpha = omega^2 -omega_0^2/(2*theta)=
                   = [(180 rad/s)^2 - (130 rad/s)^2]/(2*14*2*pi rad) = 88.1 rad/s^2 

44) v = r* omega
      = 0.041 m * 31.4 rad/s = 1.28 m/s
    a = v^2/r = (1.28 m/s)^2 / 0.041 m = 40.4 m/s^2