As the mass falls from a height \u201cH\u201d, the rotor spins.First the rotor is allowed to spin on its own, and the fall is timed (three trials, of time t1,t2, and t3).The time is averaged and used to find the final velocity (the speed of the hanging mass as it hits the ground).It can be shown through kinematics that this velocity, v, should equal \u201c2H\/t\u201d. Next, onto the rotor is placed a disc of mass \u201cMdisc\u201d and radius \u201cRdisc\u201dand then, later, a hoop of mass \u201cMhoop\u201d and inner radius \u201cR1\u201d and outer radius \u201cR2\u201d is placed on the rotor.Again the falling mass is timed as it is allowed to drop three times from height \u201cH\u201d and the average time is used to find the velocity, v, of the falling mass just as it strikes the ground.In lab, we derived a single formula that should tell us the \u201cRotational Inertia\u201d, ITotal,of the rotating object in this experiment, be it the rotor on its own, the rotor attached to the disc, or the rotor attached to the hoop.Below, you will show the derivation of that formula.You should start with the basic \u201cConservation of Energy\u201d formula and work through it until you get the formula for ITotal in terms of m, H, v, g, and r. Keep in mind, you are deriving ONE formula to find the ITotal of whatever is spinning. <\/p>\n","protected":false},"excerpt":{"rendered":"
As the mass falls from a height \u201cH\u201d, the rotor spins.First the rotor is allowed to spin on its own, and the fall is timed (three trials, of time t1,t2, and t3).The time is averaged and used to find the final velocity (the speed of the hanging mass as it hits the ground).It can be […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[32],"class_list":["post-9729","post","type-post","status-publish","format-standard","hentry","category-research-paper-writing","tag-physics"],"_links":{"self":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/9729","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/comments?post=9729"}],"version-history":[{"count":0,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/9729\/revisions"}],"wp:attachment":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/media?parent=9729"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/categories?post=9729"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/tags?post=9729"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}