As shown in Fig. 9.18, consider the arbitrarily shaped object undergoing a uniform circular motion in the XY plane about a fixed axis that is perpendicular to the xy-plane. Point O is located in the xy-plane along the axis of rotation and P is a fixed point on the object located at a distance r from the point O. If the magnitude of the velocity vector of point P is = 1.3 m/s, and the radius of its circular path is r = 0.65 m, Determine:

(a) The angular velocity ω of point P
(b) The magnitude of acceleration vector a of point P

 

n P Fig. 9.18 n and t are the normal (radial) and tangential directions at point P n Fig. 9.19 Velocity vector v is always tangent to the path of motion