please explain how this answer came to be since I\'m really lost. Explain all st

Question

please explain how this answer came to be since I'm really lost. Explain all steps used as well as why they were used. Please keep it simple. Also, you don't have to explain part B since it's pretty self explanitory.

Question 5 (20 points) Luckily the asteroidmises, and the remaining crew decideo call the space station home. The disc shaped spare station is set to spin in onder to simulate gravity fer its inhahitants (3) The dise roles witha tangentinl velocity of 39.2 ms. At what radius would an astront feel the same acceleration as that due to gravity at the Eacth's surfae o At the of Earth r 156.9 refer (h) The crew decides o live on the starion for many genertions. One of the astronauts hopes to inerease the intelligence of her descendanta using a hypotheais she hand in Dr. Tiwlors lecture and daíde adjust how quickly the spoce station is rotating. Should she increase or decrease the raeo rocation? Explain briefly. [10) She showlod increase AccordinyDr. Toylor's lecer more

Explanation / Answer

The question ask us to find the value of radius when the accleation faced by astronaut is g ( accleation due to gravity)

Now when rdisk is rotating, the only accleation that the astronaut can feel while rotation if he has constant speed is centrepetal acceleration which equals V^2/r = g

So r= v^2/g = 39.2*39.2/9.8 = 156.8 m(ans)

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