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I have no clue if this will help: 
http://www.soundabout.net/audio/convert-cassette-to-cd/reel-to-reel-tape-running-times/


On 10/25/2018 11:54 AM, Nick Patterson wrote:
> Dear collective ARSC wisdom,
>
> I'm looking for reference resources for the estimation of the time used on
> *partially-full* open-reel audio tapes.
>
> I'm aware of resources that calculate timings (based on various factors)
> for *full* audio tape reels, such as:
>
> https://www.weareavp.com/open-reel-audio-duration-calculator/
>
> But, I'm wondering if anyone might be able to point me towards a stable and
> authoritative reference for similar calculations for *partially* full reels.
>
> So, a sample problem would be:
>
> What is the duration on a reel which is 7", 1.5 mil tape, recorded at 7.5
> ips, and has a tape-pack diameter of 4.5 inches on the reel (assuming a
> 2.25 inch center hub)?
>
> We have a working estimation method in place, for the project I'm current
> working on, but I'd like to find an authoritative reference in the
> community, that documents this.
>
> If anyone knows of such a resource, I'd appreciate any info!
>
> P.S. the engineers amongst you may scoff that this is simply math, but,
> math is not my strongest suit, hence my search for a stable reference,
> rather than back-of-the-napkin calculation - please don't judge too harshly
> :-)
>
> best regards, /Nick
>
>
> Nick Patterson, Music Librarian
> Music & Arts Library, Columbia University
> 701 Dodge, 2960 Broadway
> New York, NY 10027
> 212-854-8523
>
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