this post was submitted on 01 Dec 2023
171 points (89.0% liked)
Videos
14604 readers
165 users here now
For sharing interesting videos from around the Web!
Rules
- Videos only
- Follow the global Mastodon.World rules and the Lemmy.World TOS while posting and commenting.
- Don't be a jerk
- No advertising
- No political videos, post those to [email protected] instead.
- Avoid clickbait titles. (Tip: Use dearrow)
- Link directly to the video source and not for example an embedded video in an article or tracked sharing link.
- Duplicate posts may be removed
Note: bans may apply to both [email protected] and [email protected]
founded 2 years ago
MODERATORS
you are viewing a single comment's thread
view the rest of the comments
view the rest of the comments
I did not watch this video but did read about this math. Visualize the larger circle unwrapped into a flat line, and the smaller circle sliding along the length of the line so its bottom point is fixed to the line. You'll see the small circle never rotates. Now slide the small circle with a point fixed onto the large circle in the same way, and you'll see the small circle makes one complete rotation. That rotation happens in addition to the rotations you get from dividing the larger circumference by the smaller circumference, so the answer is 4 in this case
Wouldn't it be 3 = 6π/2π ?
That's what you'd think, but there's an extra rotation involved in the act of the small circle moving around the larger circle rather than along a straight line, so it's (6π/2π) + 1
I just watched the video, that's really interesting. Thanks for the explanation