Question

On an open-reel tape deck, the tape is being pulled past the playback head at a constant linear speed of 0.372 m/s.

(a) If the radius of the film taken up so far (as shown in the upper part of the drawing) is 0.0576 m, find the angular speed of the take-up reel.
____ rad/s

(b) After 2.43 103 s, the take-up reel is almost full, as the lower part of the drawing indicates. The radius of film taken up so far is now 0.114 m. Find the average angular acceleration of the reel.
_____ rad/s2

Specify whether the acceleration indicates an increasing or decreasing angular velocity.