Problem 2Q

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

(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.