Chapter 5. Centripetal acceleration (5-10)

Question

v/YtljEDqjmGHFaRjREiOyTuEcj7YlnSksTZE+RCUZdi9SmKADn5ug/wnp8SKTC3VsnX541EZpYzp89lqEHlZ1BqmRjgjilrED5XDACNHCwMyMniDeiuWsFwGT+d7MCKo1lVS56F+PY1ft52YstPnQ==

{"title":"Centripetal acceleration: Magnitude of the acceleration of an object in uniform circular motion","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"2,74,26,108\"}]"} {"title":"Speed of the object as it moves around the circle","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"178,39,206,77\"}]"} {"title":"Radius of the circle","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"193,95,219,133\"}]"}

Question

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{"title":"Centripetal acceleration: Magnitude of the acceleration of an object in uniform circular motion","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"2,74,26,108\"}]"} {"title":"Speed of the object as it moves around the circle","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"178,39,206,77\"}]"} {"title":"Radius of the circle","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"193,95,219,133\"}]"}

Question

EM8bz6ryM1lQS9bSDNzgI6Cg5MgHCPzQFla/SdTlbFejkE69SfYHaQ==

{"title":"Centripetal acceleration: Magnitude of the acceleration of an object in uniform circular motion","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"2,74,26,108\"}]"} {"title":"Speed of the object as it moves around the circle","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"178,39,206,77\"}]"} {"title":"Radius of the circle","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"193,95,219,133\"}]"}

Review

One of the simplest situations in which an object follows a curved trajectory is \(\textit{uniform circular motion}\), or motion around a circular path at a constant speed. We saw in Section 3-8 that in uniform circular motion, the acceleration at any point around the circle is directed toward the center of the circle (that is, it is \(\textit{centripetal}\)) and has a magnitude \(a_\mathrm{cent}\) that depends on the object’s speed \(v\) and the radius \(r\) of the circle: