Suppose a disk rotates at constant angular velocity, (a) Does a point on the rim have radial and or tangential acceleration? (b) If the disk's angular velocity increases uniformly, does the point have radial and or tangential acceleration? (c) For which cases would the magnitude of either component of linear acceleration change?

Step-by-step solution

Step 1 of 3</p>

(a) A point on the rim have only radial acceleration but not have tangential acceleration because it rotating with constant angular velocity. Although the point speed does not change, the velocity vector is continuously changing its direction. Therefore the point on the rim has a centripetal acceleration which is radially inward.

Step 2 of 3</p>

(b) If the angular velocity of the point on the rim increases uniformly, the point on the rim will have both radial and tangential acceleration. Since it is both moving in a circle with increasing speed, the magnitude of the radial component of acceleration will increase uniformly. In this case, the tangential component will be constant.