Constants IPeriodic Table In the movie The Martian, astronauts travel to Mars in

Question

Constants IPeriodic Table In the movie The Martian, astronauts travel to Mars in a spaceship called Hermes. This ship has a ring module that rotates around the ship to create "artificial gravity" within the module. Astronauts standing inside the ring module on the outer rim feel like they are standing on the surface of the Earth. (The trailer for this movie shows Hermes at t-2:19 and demonstrates the artificial gravity" concept between t2:19 and t-2:24.) Analyzing a still frame from the trailer and using the height of the actress to set the scale, you determine that the distance from the center of the ship to the outer rim of the ring module is 12.60 m PartA What does the rotational speed of the ring module have to be so that an astronaut standing on the outer rim of the ring module feels like they are standing on the surface of the Earth? Express your answer in SI units and use 3 significant figures. 0.882 rad Previous Answers Correct

Explanation / Answer

Here ,

part B) as the difference in there is difference in acceleration

let the radius of the R

Now , for the acceleration at the top of the legs

9.8 = w^2 * R

at the top of the head

9.8 * (0.961) = w^2 * (R - 1.62)

solving these equations

w = 0.485 rad/s

R = 41.5 m

the minimum radius is 41.5 m

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