You want to create a space station that is 50 meters in radius. If you want it to simulate Earth's gravitation, how fast must it go?

w = 0.196 rad / s

Explanation:

To generate an acceleration similar to that of the earth, the station's centripetal acceleration must be equal to the acceleration due to gravity.

               a_c = v² / r = w² r

               a_c = g

we substitute

               g = w² r

               w² = g / r

               w =

let's calculate

               w = √9.8/50

               w = 0.196 rad / s

therefore the station must rotate at that angular velocity so that the acceleration in the outer wall is equal to the ratio of gravity

acceleration = (change in speed) / (time for the change)

change in speed = (20-120)= -100 m/s.

1.5 min = 90 sec

acceleration = -100/90 = -1.11 m/s^2.

we don't care about the 150kg or the 2,500 meters. they don't make any difference.

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