If the Earth were to suddenly stop rotating about its own axis, at which location would the acceleration due to gravity remain unchanged?

equator
latitude 45 deg
latitude 60 deg
poles

Correct answer: poles

Solution

Effective gravity is g_eff = g - omega²*R*cos²(lambda). At the poles (lambda = 90 deg), cos = 0, so rotation has no effect there; stopping rotation changes nothing at the poles.

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