Problem

In a tape recorder, the magnetic tape moves at a constant linear speed of 5.6 cm/s. To mai...

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 = 0.80 cm?

b)What is the angular speed when the spool is full, with radius r2 = 2.20 cm?

c)If the total length of the tape is 100.80 m, what is the average angular acceleration of the take-up spool while the tape is being played?

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