I am in a training class this week for turbine operations and maintenance. My teacher introduced a question by saying we would use a certain gearbox, which makes the math easy.
The (mostly rhetorical) question was:

A gear is spinning at 250 Hertz and it has 12 gear teeth.  When multiplying those together, what is the speed of each gear tooth?

Within seconds, I said 3,000 Hertz and my other 5 classmates looked at me shocked (including the 2 engineers).  I’m not sure if it was the introduction that the math would be made “easy” by the numbers he chose, or if I was looking at the numbers differently since I helped my friend factor some polynomials over the weekend.  Regardless, let me tell you how I did it.

Now this is a Gearbox!

Unlike most, when I see the number 25 I get excited because it reminds me of quarters, which was the first numbers I learned – Money $$.  Just after learning your multiples of 0, 1, 2, 5, 10, 11, all Algebrains (I just made that up) should learn your multiples of 25.  With 25, the way I think about it is “It takes four of these to total 100.”  So when multiplying 25 times 12, we have three-100s.  But since we had 250 and not just 25, we now have thirty-100s also known as 30,00 or 3 thousand!

P.S. what we were really calculating in the class is known as the Gear Mesh Frequency, which I had to research the exact term for you all and myself 🙂

5 Responses
  1. Mary Sadler

    You go girl!!! Show them that your University of Michigan Aerospace Engineering degree was not in vain. It still works.

  2. Robyn

    Love it! Yes, your mind works differently, fabulously. Only you can fascinate us with Gear Mesh Frequency! Kudos & keep sharing “Subtle Secrets of a Math Magician” 💖💚🤗

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