An invading alien race has gian rotating space stations. Atypical cylindrical sp

Question

An invading alien race has gian rotating space stations. Atypical cylindrical space station has a diameter on onekilometer. A. What angular velocity (in radian per second) would it haveto have to create a centripetal acceleration for an alien standingon the inside of the outer rim to the acceleration due to gravityof Earth (g= 9.81m/s^2)? B. How long would each rotation be (what is its period)? An invading alien race has gian rotating space stations. Atypical cylindrical space station has a diameter on onekilometer. A. What angular velocity (in radian per second) would it haveto have to create a centripetal acceleration for an alien standingon the inside of the outer rim to the acceleration due to gravityof Earth (g= 9.81m/s^2)? B. How long would each rotation be (what is its period)?

Explanation / Answer

a=^2r 9.81(m/s^2)=^2*(500m) =sqrt(9.81/500) =0.14007141 rad/s T= 2/ T= 44.857 s

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