Constructing a protractor Vernier scale

[@sidnanda10]

Love you Mr Street! ❤👏

[@jimstreet7808]

Aww, love you too!!

[@mrchin7562]

With reference to the math underlying the vernier scale: For this video, 23 degrees have been divided into 12 equal sections by the vernier scale. This means each section is 23/12 degrees = 1 degree and 55 minutes. Each mark is off by 5 minutes. The final measurement of the angle is the nearest angle rounded down at the 0 marker, + the number of offset x 5 minutes. The vernier calipers work by dividing 9 mm into 10 sections, hence each mark is off by 0.1 mm. If you want a super accurate scale, divide the 59 degree angle by 60. This will make each mark off by 1 minute. You will then be able to use the scale in the same way as the vernier calipers. A less accurate vernier would be 29 degrees divided into 30 sections -- hence each mark is off by 2 minutes. Personally, I would prefer to just divide 9 degrees into 10 sections. Then we can just use the decimal point. It would be a much easier scale to make and read.

[@mrdeadend10]

Thanks for your comment. That is good information.

[@sirswagger21]

2nd fav yt

[@nolluigaojoj8786]

how did you get 23 deg as the basis ,why not 25,28

[@mrdeadend10]

Hi, thanks for commenting. I don't know the math underlying the spacing on a Vernier scale. I only know that in this case, 0 to 60 minutes on the Vernier scale matches up exactly (best I can see) with 0 to 23 degrees on the main scale. So, I am suggesting to my students that they can mimic that spacing and get a functioning device that is accurate to 1/12 of a degree or 5 minutes. Hope this helps.