A timing mechanism consists of the rotating distributor arm AB and the fixed contact C....

A timing mechanism consists of the rotating distributor arm AB and the fixed contact C. If the arm rotates about the fixed axis OA with a constant angular velocity ω = 30(3i + 2j + 6k) rad/s, and if the coordinates of the contact C expressed in millimeters are (20, 30, 80), determine the magnitude of the acceleration of the tip B of the distributor arm as it passes point C.