Minimum Radius of Space Habitat to Maintain <1/100g Variation

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To maintain a gravitational variation of less than 1/100 g within a space habitat, the radius must be calculated based on the height of the individual. The gravitational force experienced varies with distance from the center of mass, necessitating the use of relevant equations from physics, such as those involving gravitational force and centripetal acceleration. Participants in the discussion express uncertainty about the appropriate equations and methods to derive the minimum radius. Understanding the relationship between gravitational variation and radius is crucial for designing effective space habitats. Accurate calculations are essential to ensure comfort and safety for inhabitants.
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Homework Statement



If the variation in g between one’s head and feet is to be less than 1/100 g, then, compared to one’s height, what should be the minimum radius of the space habitat?

*I honestly am not sure on how to go about answering this question.
 
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Which equation(s) would be useful here?
 
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