What would the Earth's rotational period need to be for you to become effectively weightless at the surface?
You may assume:
Earth's radius: 6,378,100 m
Earth's mass: 5.97219 x 10^24 kg
Big 'G': 6.673 x 10^-11 N(m/kg)^2
You are standing on the equator.
The Earth is a perfect sphere.
This would negate the need for jetpacks (but it might get 'a bit breezy'!)