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Getting it Taped II

Published online by Cambridge University Press:  03 November 2016

J. Hlggins
J. Hlggins*
Affiliation:
Wye College (University of London), Ashford, Kent
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Extract

The standard tape–recorder consists outwardly of two spools on which the magnetic tape is wound, from the left to the right, between least and greatest radii of a and b. On my machine, a is about 1.05 in. and b is about 2.75 in. Apart from what is on the tape, the only indication at any intermediate stage as to how much playing time is still left is provided by a revolution counter geared to the left hand spool, the one which starts full and finishes empty. The numbers registered are about half the actual number of revolutions made on the left: this arrangement allows some 1400 revolutions to be registered by only three digits. It can be assumed that the tape is fed out at a constant length per unit of time: so the time still to run is proportional to the length still to run. If the total number of revolutions to run is N, how much of the tape ha3 been run off when the reading is n?

Type
Research Article
Information
The Mathematical Gazette , Volume 55 , Issue 391 , February 1971 , pp. 47 - 48
Copyright
Copyright © Mathematical Association 1971

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References

(1) Visme, G.Hoffman de The length of unexposed film left in a cassette, Math. Gaz. 53 (1969), 139–141.Google Scholar