Wait — perhaps the minute hand gear completes 720 rotations is a mistake. Let’s assume instead:

February 22, 2026

Wait — perhaps the minute hand gear completes 720 rotations is a mistake. Let’s assume instead:

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But minute hand normally does 1 rotation per hour — so this system’s minute gear spins 30 times per real hour.
Thus, the speed ratio implies: the gear train accelerates minute hand.
But without ratio, we cannot proceed unless assuming the 720 is consistent.
In 24 hours, the minute hand completes N rotations where N = time × (1 rotation / 60 minutes) → 24 × 24 = 576 rotations? No — 24 hours = 1440 minutes → 1440 / 60 = 24 rotations.
Impossible.
Alternative idea: perhaps completes 720 rotations refers to cumulative linear displacement or sleep cycles — but not realistic.

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