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===Centripetal and centrifugal force=== Another common mistake is to state that "the centrifugal force that an object experiences is the reaction to the centripetal force on that object."<ref>{{Citation | last =Adair | first =Aaron | title =Student Misconceptions about Newtonian Mechanics: Origins and Solutions through Changes to Instruction | year =2013 | publisher =The Ohio State University | bibcode =2013PhDT.......476A | url =http://rave.ohiolink.edu/etdc/view?acc_num=osu1386034522 | quote = This was attacked by Newton who tried to have the centripetal force on the planets (from gravitational interactions) be matched by the centrifugal force so there would be a balance of forces based on his third law of motion}}</ref><ref name=Aiton268a>{{Citation | first =Eric | last =Aiton | editor-last =Swetz | editor-first =Frank | display-editors =et al. | title =An Episode in the History of Celestial Mechanics and its Utility in the Teaching of Applied Mathematics | series =Learn from the Masters | year =1995 | publisher =The Mathematical Association of America | isbn =978-0883857038 | quote =... in one of his attacks on Leibniz written in 1711, Newton says that centrifugal force is always equal and opposite to the force of gravity by the third law of motion. | url-access =registration | url =https://archive.org/details/learnfrommasters0000unse }}</ref> If an object were simultaneously subject to both a [[centripetal force]] and an equal and opposite [[centrifugal force]], the [[Net force|resultant force]] would vanish and the object could not experience a circular motion. The centrifugal force is sometimes called a [[fictitious force]] or pseudo force, to underscore the fact that such a force only appears when calculations or measurements are conducted in non-inertial reference frames.<ref>{{Citation | last =Singh | first =Chandralekha | title =Centripetal Acceleration: Often Forgotten or Misinterpreted | journal =Physics Education | volume =44 | issue =5 | pages =464β468 | year =2009 | doi =10.1088/0031-9120/44/5/001 | quote =Another difficulty is that students often consider the pseudo forces, e.g., the centrifugal force, as though they were real forces acting in an inertial reference frame. | arxiv =1602.06361 | bibcode =2009PhyEd..44..464S | s2cid =118701050 }}</ref>
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