In an attempt to model the cassette tape spooling action, I'm hoping to solve this problem.
Required feed speed 5cm/second. Two Spindles with starting radius of S1: 0.8cm (empty spool) S2: 1.8cm (full spool)
The spooled tape thickness is unknown but can be assumed to be around 15micrometer if needed. The time to complete the spooling from one spool to the other spool is required to be 45 minutes.