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The first gear has 10 teeths, those teeth engage with the gear next to it that has a 100 teeth, so the first gear needs to spin 10 times for the next gear to spin once. attached (fixed) to that second gear is again a small 10 teeth gear that will engage with the next large gear that has again 100 teeth etc..Every gear in the line adds another 0 to the total amount of spins for the first gear.
Gear 1Gear 2 - 10 (rotations for the first gear)Gear 3 - 100 timesGear 4 - 1.000 timesGear 5 - 10.000 times....Gear 100 - 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 times
This is also known as 10 to the power of 100 Estimated amount of atoms in the known universe is 10 to the power of 82.
If you speed it up so the first gear runs at 1hz, 1 revolution per second, 1 million years will turn the 13th gear once. There's 100 gears.
For context, if the first gear turns at a rate of one rotation per second, it will take over 317,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 years for the last gear to complete one revolution. It will be around long after the heat death of the universe. Still spinning.