Question

A science-fiction tale describes an artificial "planet" in the form of a band completely encircling a sun. The inhabitants live on the inside surface (where it is always noon). Imagine that this sun is exactly like our own, that the distance to the band is the same as the Earth-Sun distance (to make the climate temperate), and that the ring rotates quickly enough to produce an apparent gravity of g as on Earth

Answer 1

8.97 days

Step-by-step explanation:

Assuming we are asked what will be the period of revolution, this planet's year, in Earth days?

The period of revolution T is given as

`T=2\pi\sqrt{(r)/(g) }`

here, r= distance between planet and its sun which is same as distance between Earth-Sun =
`149.7*10^9 m`

g= acceleration due to gravity =
`9.81 m/s^2`

therefore,

`T=2\pi\sqrt{(149.7*10^9)/(9.81) }`

=775580 seconds

= 8.97 days