a feet = m/s 2 a head = m/s 2 the film Mission to Mars (released in 2000), the s

Question

afeet = m/s2 ahead = m/s2 the film Mission to Mars (released in 2000), the spacecraft (see the figure below) features a rotating section to provide artificial gravity for the long voyage. A physicist viewing a scene from the interior of the spacecraft notices that the diameter of the rotating portion of the ship is about five times the height of an astronaut walking in that section (or about 10 m). Later, in a scene showing the spacecraft from the exterior, she notices that the living quarters of the ship rotate with a period of about 30 s.

Explanation / Answer

Period=2pi/w =====> w=2pi/Period

a=w^2r

a(feet)=w^2r (because the feet are at the outer edge of the spaceship)

a(head)=w^2(r-astronauts height) (because the head is closer to the center of the ship so smaller radius)

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