{"id":641,"date":"2019-02-06T13:37:23","date_gmt":"2019-02-06T18:37:23","guid":{"rendered":"http:\/\/josmfs.net\/?p=641"},"modified":"2024-10-04T16:19:49","modified_gmt":"2024-10-04T20:19:49","slug":"square-wheels","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/02\/06\/square-wheels\/","title":{"rendered":"Square Wheels"},"content":{"rendered":"

\"\"I came across the following problem from an Italian high school exam on the British Aperiodical<\/a> website presented by Adam Atkinson:<\/p>\n

\u201cThere have been various stories in the Italian press and discussion on a Physics teaching mailing list I\u2019m accidentally on about a question in the maths exam for science high schools in Italy last week. The question asks students to confirm that a given formula is the shape of the surface needed for a comfortable ride on a bike with square wheels.\"\"<\/p>\n

What do people think? Would this be a surprising question at A-level in the UK or in the final year of high school in the US or elsewhere?\u201d<\/p>\n

I had seen videos of riding a square-wheeled bicycle over a corrugated surface before, but I had never inquired about the nature of the surface. So I thought it would be a good time to see if I could prove the surface (cross-section) shown would do the job. See Square Wheels<\/a>.<\/p>\n

(Update 9\/14\/2023)\u00a0 Square Bridge That Rolls!<\/strong><\/p>\n

\"\"<\/a>This is an incredible application of the rolling square wheels idea described on Matt Parker\u2019s Stand-up Maths<\/a> Youtube website.\u00a0 It also demonstrates the difference between engineering and pure math.\u00a0 The engineers had to solve some challenging problems to adapt the theoretical math to a practical application.\u00a0 And such solutions are always required under tight time constrictions.\u00a0 Engineering certainly is a noble profession.<\/p>\n","protected":false},"excerpt":{"rendered":"

I came across the following problem from an Italian high school exam on the British Aperiodical website presented by Adam Atkinson: \u201cThere have been various stories in the Italian press and discussion on a Physics teaching mailing list I\u2019m accidentally on about a question in the maths exam for science high schools in Italy last […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[32,96,95,33,229,41],"class_list":["post-641","post","type-post","status-publish","format-standard","hentry","category-math-inquiries","tag-calculus","tag-exponential-function","tag-hyperbolic-function","tag-matt-parker","tag-momath","tag-trigonometry"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/641","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=641"}],"version-history":[{"count":7,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/641\/revisions"}],"predecessor-version":[{"id":4119,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/641\/revisions\/4119"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=641"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=641"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=641"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}