The flywheel of a steam engine runs with a constant angular speed of 72 rev/min. When the
          steam is shut off, the friction of the bearings and the air brings the wheel to rest in 2 minutes.

    (a)  What is the constant angular acceleration, in rev/s, of the wheel during slowdown ?         (7)

  
(b)  How many rotations does the wheel make before coming to rest ?                                     (7)

  
(c)  What is the tangential component of the linear acceleration of a particle that is 10 cm from
          the axis of rotation when the flywheel is turning at (6/(2)) rev/min ?                               (4)

         Tangential component of acceleration depends only on the angular acceleration and the
         radius, r. It is independent of the instantaneous angular velocity.

  
(d)  What is the magnitude of the net linear acceleration of the particle in (c) ?                    (7)

        
 where aT is given by (c) and,