...the speed is kept constant by working out how much
of the (known-length) tape is on each spool (As above)
and controlling the motor speed appropriately. Not
totally trivial to do.
Tony you hit on the one and only practical application
of Calculus I've had since leaving College 20 years ago,
and an amateur application at that. Of course I still
respect Calc immensely, in SW it just isn't used.
(HW I imagine is a different story).
John A.