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. What will be the period of revolution, this planet's year, in Earth days?

Question

Physics

Carlie Mccormick

30 March, 17:56

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. What will be the period of revolution, this planet's year, in Earth days?

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Answers (1)

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Pablo Brock · Answer 1

Refer below for the explanation.

Explanation:

With the Sun sparkling on that band without pause and expecting that an environment like Earth's could be kept up (which it can't), that temperature would soar and before long become dreadful.

So the main issue here is to discover the period T that yields

=2*pie*squareroot (93E6*5280/32.2)

= 775908.2472 = 77.6E4 seconds or 1.283 weeks or around 9 days.