{"id":48807,"date":"2025-02-09T23:24:27","date_gmt":"2025-02-09T23:24:27","guid":{"rendered":"https:\/\/www.oracletutoring.ca\/blog\/?p=48807"},"modified":"2025-02-09T23:24:28","modified_gmt":"2025-02-09T23:24:28","slug":"math-how-fast-does-one-gear-turn-if-the-other-gear-turns-at-so-and-so-rpm","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/math-how-fast-does-one-gear-turn-if-the-other-gear-turns-at-so-and-so-rpm\/","title":{"rendered":"Math: how fast does one gear turn, if the other gear turns at so-and-so rpm?"},"content":{"rendered":"\n<h2>Tutoring math, problems might come up about the turns (rpm) of one gear relative to another. The tutor mentions an example.<\/h2>\n<p>\nQuestion: Suppose Gear A (14 teeth) and Gear B (21 teeth) are enmeshed. If Gear B turns 60 rpm, how fast does Gear A turn?<\/p>\n<p>\nSolution: the idea is that the same number of teeth are contacted, for each gear, during a given time. At 60 rpm, in one minute, 60*21=1260 total teeth are contacted for Gear B. Therefore, 1260 teeth must also be contacted for Gear A during that same minute. Gear A&#8217;s number of turns for that minute will be 1260\/14 = 90 turns. So, Gear A turns at 90 rpm, if Gear B turns at 60 rpm.<\/p>\n<p>\nSource:<\/p>\n<p>\nTravers, K.J., Dalton, L.C., Brunner, B.F. and Taylor, A.R. (1977). <em>Using Advanced Algebra.<\/em> Doubleday Canada Limited.<\/p>\nJack of <a href=\"https:\/\/www.oracletutoring.ca\">Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.\n\n","protected":false},"excerpt":{"rendered":"<p>Tutoring math, problems might come up about the turns (rpm) of one gear relative to another. The tutor mentions an example. Question: Suppose Gear A (14 teeth) and Gear B (21 teeth) are enmeshed. If Gear B turns 60 rpm, &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/www.oracletutoring.ca\/blog\/math-how-fast-does-one-gear-turn-if-the-other-gear-turns-at-so-and-so-rpm\/\"> <span class=\"screen-reader-text\">Math: how fast does one gear turn, if the other gear turns at so-and-so rpm?<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[3530,3531],"class_list":["post-48807","post","type-post","status-publish","format-standard","hentry","category-math","tag-gear","tag-rpm"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/48807","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/comments?post=48807"}],"version-history":[{"count":2,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/48807\/revisions"}],"predecessor-version":[{"id":48809,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/48807\/revisions\/48809"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=48807"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=48807"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=48807"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}