Suppose an advanced civilization wanted to construct a “Dyson Ring,” a ring of material centered on a star, assumed to have the same properties as the Sun for this problem.

 A. If the ring had a radius of one astronomical unit(1.50*1011m), what height would it need to be to have the same surface area as the Earth?

 B. If the ring were 50meters thick, what would be its mass? Assume a density of 5000 kg/m3. 

C. The structure could have artificial gravity if it is rotated. What tangential speed would provide an effective gravitational acceleration of 9.80m/s2?

 D.The original Dyson object was the Dyson Sphere, which would completely surround the parent strain a spherical pattern. Considering your answer from Part C, why is the Dyson Ring preferable to the Dyson Sphere when it comes to artificial gravity produced by rotating the object?

 E. If the ring were fully constructed at an orbital velocity equal to that of the Earth before being spun up to the tangential speed you found in Part C, how much work would it take to spin up the completed ring? If the spin-up happened over a period of 100 years, what average power input would be necessary?