tag:blogger.com,1999:blog-5944248932558389199.post2209637256906427564..comments2017-08-25T17:27:19.221-07:00Comments on neopolitan's philosophical blog: Hugging the Worldneopolitanhttp://www.blogger.com/profile/02501854905476808648noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-5944248932558389199.post-6968820796240521802012-09-10T07:12:26.205-07:002012-09-10T07:12:26.205-07:00That's great. I love things that are counter-i...That's great. I love things that are counter-intuitive and yet easy to calculate. It really shows us that we need to take our intuition with a grain of saltHausdorffhttps://www.blogger.com/profile/01690401058367596952noreply@blogger.comtag:blogger.com,1999:blog-5944248932558389199.post-84143270332341651842012-09-08T19:03:47.860-07:002012-09-08T19:03:47.860-07:00Hi Hausdorff,
It's counter-intuitive as I sai...Hi Hausdorff,<br /><br />It's counter-intuitive as I said. It's not overly difficult to calculate, as you have shown. The answer - which is 2pi metres - is exactly right but doesn't seem right. It doesn't seems to match up if when adding 40 million one-metre poles to the scenario, you only add slightly less than 6.3m of length to the cable.neopolitanhttps://www.blogger.com/profile/02501854905476808648noreply@blogger.comtag:blogger.com,1999:blog-5944248932558389199.post-83100633865044339842012-09-08T15:03:08.027-07:002012-09-08T15:03:08.027-07:00If C=40,075.016686, then the radius that we are ta...If C=40,075.016686, then the radius that we are talking about is C/2pi (units in km). So can't we just add 1 meter to that to get our new radius C/2pi+.001, and then to get the new circumference we just multiply by 2pi again to get C+.002pi.<br /><br />It seems we only need about 6 extra meters of cable. Have I oversimplified things somewhere? That doesn't seem right.Hausdorffhttps://www.blogger.com/profile/01690401058367596952noreply@blogger.com