A science fiction tale describes an artificail "planet" in the form of a band completely encircling a sun, the inhabitants living on the inside surface (where it is always noon). Imagine the sun is like our own, that the distance to the band is the same as the Earth-Sun distance (to make the climate temperature), and that the ring rotates quickly enough to produce an apparent gravity of one g as on Earth. What will be the period of revolution, this planet's year, in Earth days?
Msun = 1.98x10^30
g= GM/r^2 a= v^2/r
The Attempt at a Solution
I'm not sure how to start. Would the distance/height be 1 ly (9.5x10^15m), and doesn't one Earth g = 9.8m/s?