{"id":22457,"date":"2025-03-05T09:17:00","date_gmt":"2025-03-05T14:17:00","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?page_id=22457"},"modified":"2025-04-09T10:09:16","modified_gmt":"2025-04-09T14:09:16","slug":"coriolis-vibrational-gyroscope","status":"publish","type":"page","link":"https:\/\/www.purdue.edu\/freeform\/me274\/coriolis-vibrational-gyroscope\/","title":{"rendered":"Coriolis Vibrational Gyroscope"},"content":{"rendered":"<div>\n<div class=\"page\" title=\"Page 200\">\n<div class=\"layoutArea\">\n<div class=\"column\">\n<p><span style=\"font-size: 14pt\"><em><strong>Fundamental concept<br \/>\n<\/strong><\/em><\/span>Particle moving \u00a0through a slot on a rotating platform. The Coriolis component of acceleration produces a normal force, <em>N<\/em>, on the particle due to the motion within the rotating reference frame of the platform. The magnitude of this contact force is proportional to \u00a0the product of the relative velocity v<sub>rel<\/sub> and the rotation rate <em>\u03c9<\/em> of the platform. The side of the particle on which the normal force acts depends on the sign of this same product of v<sub>rel<\/sub> and <em>\u03c9<\/em>.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div><\/div>\n<div class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" class=\"wpa-warning wpa-image-missing-alt alignnone wp-image-20839 aligncenter\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2025\/03\/Screenshot-2025-03-05-at-9.14.10\u202fAM.jpg\" alt=\"\" width=\"349\" height=\"241\" data-warning=\"Missing alt text\" \/><\/div>\n<div><\/div>\n<div><span style=\"font-size: 14pt\"><em><strong>Application<\/strong><\/em><\/span><\/div>\n<div>This concept is used in Coriolis vibrational gyroscopes (CVG&#8217;s) to measure the orientation angle of a rotated phone. In CVG&#8217;s, the radial motion v<sub>rel<\/sub> is produced by exciting the contacting particle into oscillations. From the measured v<sub>rel<\/sub> and contact force <em>N<\/em>, the rotation rate \u03c9 can be calculated. An integration of \u03c9 then produces the rotation angle of the platform.<\/div>\n<div><\/div>\n<div><\/div>\n<div>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wpa-warning wpa-image-missing-alt alignnone wp-image-20839 aligncenter\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2025\/03\/mems_gyro_trimmed.gif\" alt=\"\" width=\"332\" height=\"434\" data-warning=\"Missing alt text\" \/><\/p>\n<p>For the particular application of CVG&#8217;s in cell phones, the oscillating mass is actually the vibrations of MEMS-sized beams along a radial line of the rotating phone. The vibrational motion \u00a0transverse to excited beam motion can then be used to determine the Coriolis component of acceleration, and therefore <em>\u03c9<\/em>.<\/p>\n<\/div>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wpa-warning wpa-image-missing-alt alignnone wp-image-20839 aligncenter\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2025\/03\/Screenshot-2025-03-05-at-8.43.21\u202fAM.jpg\" alt=\"\" width=\"360\" height=\"386\" data-warning=\"Missing alt text\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Fundamental concept Particle moving \u00a0through a slot on a rotating platform. The Coriolis component of acceleration produces a normal force, N, on the particle due to the motion within the rotating reference frame of the platform. The magnitude of this contact force is proportional to \u00a0the product of the relative velocity vrel and the rotation &hellip; <a href=\"https:\/\/www.purdue.edu\/freeform\/me274\/coriolis-vibrational-gyroscope\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Coriolis Vibrational Gyroscope<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":10,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-22457","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/22457","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/comments?post=22457"}],"version-history":[{"count":1,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/22457\/revisions"}],"predecessor-version":[{"id":22465,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/22457\/revisions\/22465"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=22457"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}