When the spaceship rotates with _ frequency, the artificial gravity like earth is produced to inhabitants of the ship
Correct answer: D. f ≥ √(g / r)
- A. 2π √ R / g
- B. 2π √ ℓ / g
- C. 1 / 2π √ R / g
- D. f ≥ √(g / r)
Explanation
Explanation:When a spaceship raotates, the centripetal force creates a sensation of artificial gravity on the spaceship's interior. The frequency of rotation required to produce this artificial gravity is given by the formula: f = 1/2π √(g/R)Where f is the frequency of rotation, g is the acceleration due to gravity, and R is the radius of the spaceship.
This question appeared on the UHS MDCAT 2009 paper, which you can sit online with every answer explained.
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About Weightlessness and Artificial Gravity
Weightlessness means the apparent weight or supporting force on an object is zero, as in free fall or an orbiting spacecraft, not that gravity has disappeared. Artificial gravity is produced by centripetal acceleration, usually through rotation. Questions compare gravitational force, normal reaction, orbital motion and the sensation of weight.
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