In a tape recorder, the magnetic tape moves at a constant linear speed of 5.6 cm/s. To maintain this constant linear speed, the angular speed of the driving spool (the take-up spool) has to change accordingly.
(a) What is the angular speed of the take-up spool when it is empty, with radius r1 = 0.64 cm?
(b) What is the angular speed when the spool is full, with radius r2 = 2.38 cm?
(c) If the total length of the tape is 100.8 m, what is the average angular acceleration of the take-up spool while the tape is being played?