I agree with erasmus here. If the earth were flat and spinning, a pendulum would appear to make make one rotation in one day, regardless of lattitude. This is because the pendulum is actually staying oriented in the same direction in space, and the flat earth would rotate around it. Pendulums want to stay facing the same direction is space, just like a gyroscope (and for the same reasons too). Anywhere on a flat earth you would get one revolution per day. On a round earth, You would get one revolution per day at the north pole, but that would decrease as you got closer to the equator, where it would be zero revolutions. If you continued south, the pendulum would rotate in the opposite direction, very slowly, but getting faster as you approached the south pole. At the south pole the penulum would make one rotation every day, in the opposite direction as it would at the north pole.