Does it Hertz?

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) Comments

  • Mary Sadler July 9, 2015 @ 11:20 am

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

  • Saul December 11, 2017 @ 8:35 am

    Wow! What a cool way yo introduce math to students… with STORIES! I cant wait to see whats coming next.

    • Jasmine January 5, 2018 @ 7:52 am

      Thanks Saul, I love it! I just try to inform people that math is all around us everyday.

  • Robyn March 22, 2020 @ 11:45 am

    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” 💖💚🤗

    • Jasmine March 22, 2020 @ 8:12 pm

      Thanks so much Soror Robyn for checking out this fun post! I’m going to do more like these soon.

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