Consider a cylindrical space station 500 m in diameter rotating about its central axis. Astronauts walk on the inside surface of the space station. What rotation period will provide earth gravitational acceleration of 9.8 m/s/s

The rotation period is 44.88 seconds

Explanation:

The acceleration experienced by the rotating cylindrical space station is called the centripetal acceleration.

centripetal acceleration = =

where v = velocity of the rotating body

r = radius of rotation measured from its axis = 500m

m/s

The velocity of the rotating body and its period are related with the following formula

from that, we have that

substituting in values, the period can be evaluated as

∴ The period of the rotating body is 44.88 seconds

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