Z signifies the number of teeth on the gear, and M signifies the module, which correlates with the size of the tooth. Everything is also explained in the captions and description, thank you for stopping by!

There is no exact measurement required, the compass only has to be past the halfway point (and you can tell visually) for the halfway point to be found. Hope that helps!

@@cressyism thank youo much for you replay , means a lot , god bless you

Can you be more specific??

Sure, is there a specific part of dividing the circle? There is a video here, kzfaq.info/get/bejne/jZORp6SqyKeUgZs.html, that describes in detail how to divide a circle with a compass into almost any amount. But in the case where you only need to divide a small section in half, the compass must be adjusted anywhere past the halfway point (something you can judge visually), and the intersection of the two arcs can be used to determine the halfway point. Hope that helps!

Not necessarily, z can be any number, I think I just happened to choose two example gears that had the number of teeth be a multiple of 4

@@cressyism yeah after some experimentation I made some 6 teeth gears along side the 8 and 12 teeth gears in your vid. your vids are great 🌟 keep on sharing knowledge cuz it helps people

These are measurements often used for a "standard" gear tooth shape, and there are other formulas out there for custom tooth shapes, but these are pretty easy to use for casual projects.

Definitely, in that part, to divide the section (since tooth thickness and pitch on the reference circle are equal), the compass is adjusted to be past the halfway point (that is the only requirement, being exact does not matter), and once the arc is drawn from both points, the intersection can be used to mark the halfway point on the reference circle. Hope that helps!

@@cressyism thank you so much for clearing my doubt🙂😇

oh, that depends on what module (tooth size) you choose. If you're cutting it out by hand, I'd recommend a module around 5mm (though anything works). The reference diameter is represented by the letter d, and the number of teeth are represented by z. So, d = m * 40. Assuming that you were using a module of 5mm, d = 5 * 40 = 200mm. In that case, the reference diameter would be 20 cm. The rest of the formulas are at 0:19

@@cressyism let's see if I understand... if I make a gear with 40 teeth with a 5 mm tooth I have to make d 5 x 40 and it gives me 200 mm... then the df (40-2.5)x5 which gives me 187, 5 mm... then (40+2)×5=210 mm da... it's correct?

@@andreavela1433 Yep! That's pretty much it, looks great!

@@cressyism thanks for the replies!!! then i will try to draw it i hope it is accurate enough to build a pendulum clock... the 40 tooth gear is the biggest one in my project and the tooth size will be 1cm and the other gears maybe only 5mm... the only thing is that I don't know what that 2.5 in that formula df means and the 2 in that formula da... the pressure angle or the displacement of the profile doesn't interest me... the important thing is that they mesh perfectly and that I can divide the circle perfectly which is critical to gear construction...your gears look perfect... i am italian and use google traductor to write you language

@@andreavela1433 no problem! The 2.5 and 2 give the shape of each tooth that helps them mesh together without getting jammed. Using your example above, the space from the df to d is 12.5 mm, while the space from the d to da is 10 mm. You might notice a ratio, 2.5 : 2 is the same as 12.5 : 10. For the gears to mesh together perfectly, just make sure they all use the same module. As for dividing the circle, I'd say that the most accurate method is to use a protractor, because it becomes harder to use compass geometry the more teeth your gear has. You can also find an arc of a circle and its corresponding chord, but everything has to be very exact for that to work. I'm still improving my own skills myself, and it's nice for you to stop by! I'm excited to see how you're project turns out!

Is it that gears need equal M values to work properly?

M value = module length. Thanks.

You will see more of it in the future.

Дякую вам за працю 😊❤

I came here to learn from comments, not to listen to karens arguing here.

I love this music!