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A future use of space stations may be to provide hospitals for severely burned persons. It is very painful for a badly burned person on Earth to lie in bed. In a space station, the effect of gravity can be reduced or even eliminated. How long should each rotation take for a doughnut-shaped hospital of 200-m radius so that persons on the outer perimeter would experience 1/10 the normal gravity of Earth?

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Answer:

● ω = 0.07 radians persecond

● Time for one rotation = 89.76 seconds (period of rotation)

Explanation:

Centripetal acceleration = (1/10) g = 0.980m/s2

centripetal acceleration = ω2 r

0.980 = ω2 *200

ω = 0.07 radians persecond

Time for one rotation = distance / speed = 2π radians / 0.07 rad persec = 89.76 seconds (period of rotation)

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