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The Googol Gears

Short answer: A googol is 1 followed by 100 zeros. Daniel de Bruin built a gear machine to make that number tangible: a chain of 100 gear stages, each reducing speed by a factor of ten, driven by a hand crank.

The first gear spins freely, but the final gear would need a googol turns of the crank to rotate once, far longer than the age of the universe at any practical speed. The footage shows the long row of gears.

VideoWrite-up2 sources

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What should you know about The Googol Gears?

Quick facts. Each one stands alone and has a stable ID you can cite.

  1. A googol is 10 to the 100th.

    DD-327-F01 · Write-up · Exhibit A (Googol)

  2. Gears can reduce speed.

    DD-327-F02 · Write-up · Exhibit B (Gear train)

Video transcript: The Googol Gears: Each Gear Turns Ten Times Slower Than the One Before It

Did you know, Daniel de Bruin's googol Gear System is an extraordinary mechanical creation designed to visualize the enormous number of googol, which is one followed by 100 zeros. The system consists of a vast array of interconnected gears, with each one turning more slowly than the previous one. It starts with a hand-crank gear, and as the motion transfers through the series, the final gear would take an almost incomprehensible amount of time to complete a single rotation, longer than the lifespan of the universe. This system is a striking demonstration of scale, time, and the intricacies of mechanical motion. NOW YOU KNOW!

Burned-in captions, read frame by frame (see transcript.md) · 28.8s Reel ·

Video coming soonThe Googol Gears · Instagram Reel
The Googol Gears: Each Gear Turns Ten Times Slower Than the One Before It Instagram Reel · · 28.8s

The write-up

Each gear turns ten times slower than the one before it. With 100 steps, the last gear would need a googol turns of the crank.

  1. Exhibit A

    Googol

    A googol is 10 to the 100th.

  2. Exhibit B

    Gear train

    Gears can reduce speed.

  3. Exhibit C

    Ten to one

    Each stage slows motion tenfold.

  4. Exhibit D

    Builder

    Daniel de Bruin built it.

  5. Exhibit E

    Last gear

    The last gear effectively never turns.

Questions people ask about The Googol Gears

What is a googol?

10^100.

Source: Write-up · Exhibit A (Googol) · Wikipedia: Googol

How does each gear compare?

Reduction.

Source: Write-up · Exhibit B (Gear train) · Wikipedia: Gear train

What drives the machine?

Turned by hand.

Source: Write-up · Exhibit C (Ten to one) · Wikipedia: Gear train

Does the last gear visibly turn?

Effectively never.

Source: Write-up · Exhibit D (Builder) · Wikipedia: Googol

Who built it?

An engineer.

Source: Write-up · Exhibit E (Last gear) · Wikipedia: Googol

Test Your Knowledge

All quizzes →

5 questions, all from this case file. Answers are revealed instantly.

  1. What is a googol?

    1. 1 followed by 100 zeros
    2. A search engine only
    3. A million
    4. A gear
    Show the answer

    Answer: A. 1 followed by 100 zeros 10^100. Source: Write-up · Exhibit A (Googol) · Wikipedia: Googol

  2. How does each gear compare?

    1. Ten times slower
    2. Ten times faster
    3. Same speed
    4. Random
    Show the answer

    Answer: A. Ten times slower Reduction. Source: Write-up · Exhibit B (Gear train) · Wikipedia: Gear train

  3. What drives the machine?

    1. A hand crank
    2. A jet engine
    3. Water
    4. Solar
    Show the answer

    Answer: A. A hand crank Turned by hand. Source: Write-up · Exhibit C (Ten to one) · Wikipedia: Gear train

  4. Does the last gear visibly turn?

    1. No
    2. Yes, quickly
    3. Yes, slowly
    4. Only at night
    Show the answer

    Answer: A. No Effectively never. Source: Write-up · Exhibit D (Builder) · Wikipedia: Googol

  5. Who built it?

    1. Daniel de Bruin
    2. Leonardo da Vinci
    3. James Watt
    4. Nikola Tesla
    Show the answer

    Answer: A. Daniel de Bruin An engineer. Source: Write-up · Exhibit E (Last gear) · Wikipedia: Googol

Cite this case file

Easterling, Marcus. "The Googol Gears." The Detail Department (DetailEnjoyer), case file DD-327, last updated Sep 20, 2024. https://detailenjoyer.com/case/the-googol-gears/

Permalink: https://detailenjoyer.com/case/the-googol-gears/ · Last updated

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Cite a single fact by its ID, for example DD-327-F01 → https://detailenjoyer.com/case/the-googol-gears/#DD-327-F01

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