What is the approximate moment of inertia of a bicycle wheel that weighs 19.6 N and has a diameter of 0.70 m?<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n The moment of inertia (I) of a bicycle wheel can be estimated using the formula for a solid disc, which is a good approximation for the wheel’s structure. The formula for the moment of inertia of a solid disc rotating about an axis through its center is: I=12mr2I = \\frac{1}{2} m r^2<\/p>\n\n\n\n Where:<\/p>\n\n\n\n The weight of the bicycle wheel is given as 19.6 N. Weight (WW) is related to mass (mm) by the equation: W=mgW = m g<\/p>\n\n\n\n Where:<\/p>\n\n\n\n Rearranging to find mass: m=Wg=19.69.8=2\u2009kgm = \\frac{W}{g} = \\frac{19.6}{9.8} = 2 \\, \\text{kg}<\/p>\n\n\n\n The diameter of the wheel is given as 0.70 m, so the radius rr is half of that: r=0.702=0.35\u2009mr = \\frac{0.70}{2} = 0.35 \\, \\text{m}<\/p>\n\n\n\n Now, we can substitute the mass and radius into the moment of inertia formula: I=12\u00d72\u00d7(0.35)2=1\u00d70.1225=0.1225\u2009kg\u22c5m2I = \\frac{1}{2} \\times 2 \\times (0.35)^2 = 1 \\times 0.1225 = 0.1225 \\, \\text{kg} \\cdot \\text{m}^2<\/p>\n\n\n\n The approximate moment of inertia of the bicycle wheel is 0.1225 kg\u00b7m\u00b2. This calculation assumes that the wheel is a solid disc, which is a reasonable approximation for most bicycle wheels, though some wheels may have spokes or other components that could slightly alter the actual moment of inertia.<\/p>\n","protected":false},"excerpt":{"rendered":" What is the approximate moment of inertia of a bicycle wheel that weighs 19.6 N and has a diameter of 0.70 m? The correct answer and explanation is: The moment of inertia (I) of a bicycle wheel can be estimated using the formula for a solid disc, which is a good approximation for the wheel’s […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-250063","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/250063","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=250063"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/250063\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=250063"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=250063"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=250063"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
Step 1: Calculate the Mass of the Wheel<\/h3>\n\n\n\n
\n
Step 2: Find the Radius<\/h3>\n\n\n\n
Step 3: Calculate the Moment of Inertia<\/h3>\n\n\n\n
Conclusion:<\/h3>\n\n\n\n