This works but I have an old sheet metal formula that works great. Take the large diameter and multiply it by the height. Now divide the result by the difference between the large and small diameter. The result is the swing point at the top of the cone to swing the arc for the pattern. The only downside is takes a bit of space to swing the arc. I just put marker on a piece of string.
Had the impulse today to build an apollo LEM out of cardboard, then realized that high school geometry failed me and I had no idea how to make a pattern for the conical engine bell. Thank you, this was a big help!
He didn't explain all his steps.. he's getting the angle measurement.. hopefully someone can step in here and tell us those steps that he did in his head 🤣
All you need is the diameter of the top, the diameter of the bottom, the height and the number of segments. Figure out the circumferences of the top and bottom and divide by the number of segments to get the dimensions of each segment. Divide 360 by the number of segments and that value by 0.5 to get the angle to cut each edge of each segment. The 0.5 is to get the "included angle" since the slat is tapered on both edges. There's a little fudging involved since the exact widths of each slat depend on how many slats there are. A theoretical infinite number of slats would give you the exact results, fewer will throw off the final dimensions of the radii of the top and bottom but I expect for any number over about 12 it will be negligible.
Mike good job. One comment though. Once you know the length from the center to the large end the angle can be found by dividing the large circumference by that length. It is called “radians.” Unfortunately this is not taught well in US schools. If you do not like working in radians you can convert the angle in radians to degrees or even gradians. Your choice. One full circle is either 2 pi radians or 360 degrees or 400 gradians. 1 radian = 57.2957° Convert to your hearts content.
Could you possibly elaborate on that please? The large circumference is 6.08*pi*2* equals 38.182. the length from the center is 6. 38.182/6 equals 6.363. 6.363 *57.29 equals 365. Im confused
I am constructing 12 equal concentric circles on CAD. 144 is my outer diameter. I want to put the rings to different angles such as the angle of the great pyramid of Giza at 51.82729237 degrees. Imagine you are looking at the rings from a top view. The rings are actually a cone. What should my diameters of each of the 12 rings be? I want to make other cones from a top view using music harmonic ratios such as 1:2, 2:3, 3:4, etc. I am using a Phi Pyramid where the height equals the square root of Phi and the slope angle equals Phi. On your calculator you can take the Sine of 18 to get Phi, multiply by 2 and add 1. Thanks for your comments.
Mike: How did you get 59.18 degrees by dividing 6.04 into 38.22?? I did some further research and found that the percentage of 6.04 is of 38.22 = 15.9%. I then found an on-line calculator that gave me the percentage of 15.9 for 360 degrees, which equals 57.24 degrees. Any chance you can walk us through the math as to how you came up with 59.18 degrees?
Hey there. Sorry for the late response. This one slipped past me. 6.04/38.22 is about .164 of a complete circle. Then this *360 gives the 59 degrees needed for the cone arc angle.
@@MikesInventions Thanks for replying Mike, but I'm still confused. If you divide 6.04 by 38.22 the answer is .159079.... x 360 = 57.26°. What am I missing here?
Hmmm... I don’t know I did it on excel last night and it worked, and now I check it on my phone and you’re absolutely right. I did something wrong somewhere in video production. Anyway, I used this all as recently as yesterday to make something out of sheet metal and it works. So just ignore my math I guess and focus on the procedure. Oops! Or download the excel file from my website and you can forget doing it all by hand. Thanks for catching the math issue. Still no clue what I did there.
I understand the words you are using but not the total equation. I recently made a pattern out of stiff card for a motorcycle exhaust megaphone and I was able to achieve the shape I needed with only a ruler and a large compass.
Hello I am desperate and i was wondering if you could fix my ipad 6th generation because the home button fell off and now i can't even use it so i was wondering if you could please help me. I'm having a panic attack because all of my info is on it and if i lost everything, it would be bad.
Yes this is how... but you do not show the math. Using numbers that you can figure in your head does NOT help anyone do this to dimensions. It is Simple Trigonometry however. Here is where you lost me... When you figured theta! What is the formula for doing this? And r1.... r2... PS... Sorry but I read some of the other comments and it is clear that you were not clear.... show math please!
Well I kind of understood the concept and I'm not that bad at math I'm better at geometry, and I also have synesthesia I'm able to look at things in quite a different way oh, I'm sure you're probably familiar with it, but as I said I got a little confused but you know what I am subscribing because I think I could learn something from you and I like that, and I like the way you presented yourself
After watching you do this math in your head, I just realized I’m too dumb to even make a dunce hat 🤪
Unless...he was looking at a white board off screen that had the values pre-calculated...
"If you look at this for half a second you'll be able to figure it out."
This guy is vastly underestimating how dumb I am
Loved this Maths explanation.
man, that was intense. I just want to learn to draw a line. LOL
This works but I have an old sheet metal formula that works great. Take the large diameter and multiply it by the height. Now divide the result by the difference between the large and small diameter. The result is the swing point at the top of the cone to swing the arc for the pattern. The only downside is takes a bit of space to swing the arc. I just put marker on a piece of string.
Wow I am so impressed, I thought I was decent a math... then you came along. Thanks, this video is great
Had the impulse today to build an apollo LEM out of cardboard, then realized that high school geometry failed me and I had no idea how to make a pattern for the conical engine bell. Thank you, this was a big help!
How is 6.08/38.22=59.18??? 8:02
He didn't explain all his steps.. he's getting the angle measurement.. hopefully someone can step in here and tell us those steps that he did in his head 🤣
thank you
I'd like to make a cone shaped wood table base. Do you have a formula for calculating the cut angles for each piece of wood?
Oh no I don't sadly. I've never needed to do that. Maybe I will some day. Thanks for watching though.
All you need is the diameter of the top, the diameter of the bottom, the height and the number of segments. Figure out the circumferences of the top and bottom and divide by the number of segments to get the dimensions of each segment. Divide 360 by the number of segments and that value by 0.5 to get the angle to cut each edge of each segment. The 0.5 is to get the "included angle" since the slat is tapered on both edges. There's a little fudging involved since the exact widths of each slat depend on how many slats there are. A theoretical infinite number of slats would give you the exact results, fewer will throw off the final dimensions of the radii of the top and bottom but I expect for any number over about 12 it will be negligible.
Thank you mikes it was very informative and practical in a short time
Great for custom model making
Mike good job. One comment though. Once you know the length from the center to the large end the angle can be found by dividing the large circumference by that length. It is called “radians.” Unfortunately this is not taught well in US schools. If you do not like working in radians you can convert the angle in radians to degrees or even gradians. Your choice. One full circle is either 2 pi radians or 360 degrees or 400 gradians. 1 radian = 57.2957° Convert to your hearts content.
Could you possibly elaborate on that please? The large circumference is 6.08*pi*2* equals 38.182. the length from the center is 6. 38.182/6 equals 6.363. 6.363 *57.29 equals 365. Im confused
look I just wanted to extend heat lamps shade by extending it. this went over my head lol
I’m an art major and here I am using this to make a large scale crayon!
Another use for this math, masking stripes on tapered objects. That's why I clicked.
I am constructing 12 equal concentric circles on CAD. 144 is my outer diameter. I want to put the rings to different angles such as the angle of the great pyramid of Giza at 51.82729237 degrees. Imagine you are looking at the rings from a top view. The rings are actually a cone. What should my diameters of each of the 12 rings be? I want to make other cones from a top view using music harmonic ratios such as 1:2, 2:3, 3:4, etc. I am using a Phi Pyramid where the height equals the square root of Phi and the slope angle equals Phi. On your calculator you can take the Sine of 18 to get Phi, multiply by 2 and add 1. Thanks for your comments.
Hey Jake! I don’t think I understand your question. Sorry for the late response. Did you figure it out?
I if I know th measurements. Do I need to multiply? 18 inch tall. 12 inches at th top. 18 inch bottom. Mine are concrete forms.
0:03 no, just no. Cones are awesome, why wouldn't you want to make your own?
Mike: How did you get 59.18 degrees by dividing 6.04 into 38.22?? I did some further research and found that the percentage of 6.04 is of 38.22 = 15.9%. I then found an on-line calculator that gave me the percentage of 15.9 for 360 degrees, which equals 57.24 degrees. Any chance you can walk us through the math as to how you came up with 59.18 degrees?
Im coming up with the same thing. I still dont get how he came up with the 59.18 degrees.
Its 6.28 divided by 38.22
Hey there. Sorry for the late response. This one slipped past me. 6.04/38.22 is about .164 of a complete circle. Then this *360 gives the 59 degrees needed for the cone arc angle.
@@MikesInventions Thanks for replying Mike, but I'm still confused. If you divide 6.04 by 38.22 the answer is .159079.... x 360 = 57.26°. What am I missing here?
Hmmm... I don’t know I did it on excel last night and it worked, and now I check it on my phone and you’re absolutely right. I did something wrong somewhere in video production. Anyway, I used this all as recently as yesterday to make something out of sheet metal and it works. So just ignore my math I guess and focus on the procedure. Oops! Or download the excel file from my website and you can forget doing it all by hand. Thanks for catching the math issue. Still no clue what I did there.
awesome bro
Funny enought I am using this to cut reflective tape for a miniature traffic cone I 3d printed
Ice cream men are geniuses
the percentage math dosnt work out i wish i could see you input on a calculator Thanks
I understand the words you are using but not the total equation. I recently made a pattern out of stiff card for a motorcycle exhaust megaphone and I was able to achieve the shape I needed with only a ruler and a large compass.
Hello I am desperate and i was wondering if you could fix my ipad 6th generation because the home button fell off and now i can't even use it so i was wondering if you could please help me. I'm having a panic attack because all of my info is on it and if i lost everything, it would be bad.
The home button is basically unfixable if it breaks, transfer your data out of your iPad, and take it to a repair store
@@user-pf5in2km3v There are videos on youtube of people fixing and replacing home buttons
I think there is one mistake in the video, you divided 6.08/38.22 instead of 6.28/38.22 to find the percentage of the circumference...
I want to turn a Pie lidinto a heat gun nozzle, surely someone cleverer than me has made a web page to do this😂
Yes this is how... but you do not show the math. Using numbers that you can figure in your head does NOT help anyone do this to dimensions. It is Simple Trigonometry however. Here is where you lost me... When you figured theta! What is the formula for doing this? And r1.... r2... PS... Sorry but I read some of the other comments and it is clear that you were not clear.... show math please!
he just assumed things n just slided by ....how is this even a proper math video is beyond me... tat hypotenuse is a mess as well
S=@R
S=any unit
@=angle in radians
R= Radius in any unit.
Christmas tree skirt.
Of course! A Christmas tree skirt. Didn't think of that one.
Good lord!
👍🏻
Too much mathematics 😂
I'd need to brush up a bit before attempting...
Well I kind of understood the concept and I'm not that bad at math I'm better at geometry, and I also have synesthesia I'm able to look at things in quite a different way oh, I'm sure you're probably familiar with it, but as I said I got a little confused but you know what I am subscribing because I think I could learn something from you and I like that, and I like the way you presented yourself
What a nice comment Carlos! Thank you so much. Glad to have you on board!
Yeahhhh not for a bong
a banana
You are making a mountain out of a mole hill far to compilated