The solid cylinder is rotating about the fixed axis OA with a constant speed N = 600 rev...

The solid cylinder is rotating about the fixed axis OA with a constant speed N = 600 rev/min in the direction shown. If the x- and y-components of the velocity of point P are 12 ft/sec and -6 ft/sec, determine its z-component of velocity and the radial distance R from P to the rotation axis. Also find the magnitude of the acceleration of P.