Posted by Pat on Thursday, October 28, 2010 at 10:28pm.
The radius of rotation at that latitude is
r= Re*cosLatitude
If mw^2/r= mg and w=2PIr where r is above formula.
The problem with this analysis, is that centrepetal force is not directed to the center of the Earth at that latitude, and mg is. So they never can be equal and opposite, and the person "floats" about the room. I assume your teacher forgot about that, or wants you to ignore it. centripetal force is directed to the center of rotation on the Earth's axis, not the center of the Earth.
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