Googol Gearbox - Will it hit the speed of light?

Googol-to-One Gear,
Every time the first wheel completes 1,000 rotations, which happens in about an hour, the second gear turns 100 notches and the third 10.This means that the speed of any one gear is equal to one-tenth the speed of the gear before it. Meaning in order to turn the last and 100th one, you would have to rotate the first gear 1 googol times, A googol is an astronomical number whose decimal representation is written with the number 1 followed by 100 zeros, which is a number that’s bigger than the atoms in the known universe. Also, you would need more energy than the entire known universe to do this.
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