Chapter 3. Centripetal acceleration (3-17)

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\":\"rect\",\"coords\":\"1,64,28,104\"},{\"shape\":\"poly\",\"coords\":\"82,133\"}]"} {"title":"Speed of an object as it moves around the circle","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"172,27,208,69\"}]"} {"title":"Radius of the circle","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"173,96,204,132\"}]"}

Question

MWQ9nolmryz9qB64FuSZUxuEt/yROQU4ljAAIWZHbBA7sB71IAK0Vze7gjVELrFtqLLI0wwQwAXxzlQ5WfQEt2Og/TU=

{"title":"Centripetal acceleration Magnitude of the acceleration of an object in uniform circular motion","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"1,64,28,104\"},{\"shape\":\"poly\",\"coords\":\"82,133\"}]"} {"title":"Speed of an object as it moves around the circle","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"172,27,208,69\"}]"} {"title":"Radius of the circle","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"173,96,204,132\"}]"}

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\":\"rect\",\"coords\":\"1,64,28,104\"},{\"shape\":\"poly\",\"coords\":\"82,133\"}]"} {"title":"Speed of an object as it moves around the circle","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"172,27,208,69\"}]"} {"title":"Radius of the circle","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"173,96,204,132\"}]"}

Review

Now, the object's speed \(v\) equal to the distance \(\Delta{s}\) that it travels divided by the time interval \(\Delta{t}\) required to travel this distance: \(v = \Delta{s}/\Delta{t}\). Therefore we can replace \(\Delta{s}/\Delta{t}\) in Equation 3-16 by \(v\), and our expression for the object's centripetal acceleration becomes \(a_\mathrm{cent} = v(v/r)\), or: