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60 revolutions per minute is one revolution per second.

1 light second is the distance light travels in one second.

What this means is that points on this hypothetical disk's perimeter would need to travel at the speed of light to satisfy your conditions. This cannot happen for anything that has mass.

Bottom line: a disk this size could not spin at this speed.

The answer to your question is that it would spin at the speed of light (It is hypothetical, so it doesn't matter that nothing can spin at that speed).

The shear forces would be so high before it could accelerate significantly that the disk would cease being solid and would break into trillions of tiny pieces. There is an awful lot of inertia in the outer rim of a disk that large! If it were created already spinning at that speed (by some miracle) it would take a practically infinitesimal time for centrifugal forces to make it explode violently into trillions of tiny pieces.

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