olymmath

OME 1965 Problem 3

    A disk in a record turntable makes 100100 revolutions per minute and it plays during 2424 minutes and 3030 seconds. The recorded line over the disk is a spiral with a diameter that decreases uniformly from 2929 cm to 11.511.5 cm. Compute the length of the recorded line.

    Dataset text AI-MO AoPS. Quoted with source.

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