would you weigh more at the north pole than at the equator, gravity versus centrifugal force.....?

Answer 1

g at North Pole is 9.8322m/s^2
g at equator is 9.78030m/s^2

This variation is due to the spin of earth around its axis.

1 kg mass weighs 9.8322 N at North pole and weighs 9.78030N at the equator.

Answer 2

Most of the difference in gravitational acceleration found at the poles and the equator is due to the fact that the polar diameter is 41km smaller than the equatorial diameter. As gravitational force is proportional to the square of the distance between object and earth's centre, the ratio of g at the poles and the equator is 12756² / 12715² = 1.0065. So, if g at the equator is 9.78, g at the poles is 9.78 x 1.0065 = 9.84. Centrifugal force plays only a small part.