Question

A space station is designed in the form of a large, hollow donut that rotates evenly....

A space station is designed in the form of a large, hollow donut that rotates evenly. The outer radius of the station is 350 meters. With what period should the station rotate for a person sitting on the outer wall to experience "artificial gravity," that is, an acceleration of 9.8 m / s ^ 2
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Answer #1

The acceleration is given by

This is the answer.

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Answer #2

SOLUTION :


Acceleration experienced by the rider = g = 9.8 m/s^2

=> 9.98 =  (angular speed)^2 * radius of revolving point of rider

=> angular speed = sqrt (9.8/350) = 0.167332 rad/s


Time period, T = Time needed to make 1 revolution = time to cover 2 pi radians.

=> T = angle moved in 1 revolution / angular speed

=> T = 2pi / 0.167322

=> T = 37.55 sec (ANSWER)

answered by: Tulsiram Garg

> Correct 9.98 as 9.8

Tulsiram Garg Sat, May 28, 2022 2:14 AM

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