A sphere, centred on the origin, has radius 31.7 cm, and is spinning at 3 revolutions per second with its axis of rotation along the z-axis. A point is chosen with position vector a = (9, -14, 27) cm on the surface of the sphere. a. Calculate the vector representing the angular velocity of the sphere, w, in rad/s. i+ (0) = k rad/s V = (2 marks) b. Calculate the velocity v of point a in units of ms-1 i+ k ms-1 j+ Note the units given in the question. j+ (4 marks)