1
   

Ratios of Bases and Circumferences

Forums: Science And Math
Email this Topic • Print this Page
 
 
ScissorsRunWithYou
 
Reply Fri 5 Nov, 2004 08:00 pm
So, you have a cup. The cup is part of a cone. The part of the cone with the point cut off. So, one base will obviously be smaller than the other. You have the bottom ( which will be the smaller one in this, we'll call it 'b' ) and the top (which, of course, will be larger. We'll call this "m"). We put this cup on its side ontop a flat surface and give it a little push and it will roll to form a circle. The cup will also rotate a number of times. My question is . . is the ratio of the size of the bottom to the size of the bottom play a factor in how many rotations the cup will make? If it does, can you please explain it to me?
  • Topic Stats
  • Top Replies
  • Link to this Topic
Type: Discussion • Score: 1 • Views: 783 • Replies: 6
No top replies

 
DrewDad
 
  1  
Reply Fri 5 Nov, 2004 09:48 pm
The angle of the vertex of the cone is what determines the number of rotations the cup will make. The ratio of the ends of your conic section are meaningless without the length of the section as well.
0 Replies
 
ScissorsRunWithYou
 
  1  
Reply Fri 5 Nov, 2004 10:59 pm
MerlinsGodson wrote:
The angle of the vertex of the cone is what determines the number of rotations the cup will make. The ratio of the ends of your conic section are meaningless without the length of the section as well.


How do you find the angle of the vertex of the cone with just the bases of the cup?
0 Replies
 
ScissorsRunWithYou
 
  1  
Reply Fri 5 Nov, 2004 11:21 pm
ScissorsRunWithYou wrote:


How do you find the angle of the vertex of the cone with just the bases of the cup?


Well, with just the parts of the cup.. The height, the slope of the side and the bases.
0 Replies
 
DrewDad
 
  1  
Reply Fri 5 Nov, 2004 11:29 pm
Place the cup on the larger end. Now calculate the angle of the side of the conic section to vertical. Double that and you have the angle of the vertex.

Basically, it is a right-triangle problem. Put a plane through the diameter of the cup. This will give a tetrahedron.

Code:
___
/ \
/ \
/_______\


Now drop a vertical line from the top-right corner:

Code:
/|
/ |
/__|


Calculate the angle of the top of the triangle.
0 Replies
 
ScissorsRunWithYou
 
  1  
Reply Fri 5 Nov, 2004 11:35 pm
Edit: Actually, I'm a little confused. When you draw a vertical line from the top right corner, you do not get a triangle. At least, not on the side your picture corresponds to. Am I missing something?
0 Replies
 
DrewDad
 
  1  
Reply Sat 6 Nov, 2004 01:51 pm
Yes. You're missing the fact that I said right and meant left. LOL.
0 Replies
 
 

Related Topics

Evolution 101 - Discussion by gungasnake
Which building has the highest load bearing? - Discussion by tali
Typing Equations on a PC - Discussion by Brandon9000
The Future of Artificial Intelligence - Discussion by Brandon9000
The well known Mind vs Brain. - Discussion by crayon851
Scientists Offer Proof of 'Dark Matter' - Discussion by oralloy
Bizarre Proposal to Increase the Number of Planets - Discussion by oralloy
DDT to Return as Weapon Against Malaria, Experts Say - Discussion by gungasnake
Blue Saturn - Discussion by oralloy
Bald Eagle-DDT Myth Still Flying High - Discussion by gungasnake
DDT: A Weapon of Mass Survival - Discussion by gungasnake
 
  1. Forums
  2. » Ratios of Bases and Circumferences
Copyright © 2025 MadLab, LLC :: Terms of Service :: Privacy Policy :: Page generated in 0.04 seconds on 01/18/2025 at 07:19:26
▲ ▼