At what rate must a cylindrical spaceship rotate if occupants are to experience simulated gravity of...

At what rate must a cylindrical spaceship rotate if occupants are to experience simulated gravity of 0.62 g? Assume the spaceship's diameter is 26 m , and give your answer as the time needed for one revolution

Expert Solution

Force acting on space ship is

F = m a

here the force is centripetal force

m v ² / r = ma

v ² / r = a

speed of spaceship is

v = 2πr / T

(2πr / T ) ² / r = 0.62 g

4 π² r / T² = 0.62 g

radius r = 26 / 2 = 13 m

T ² = 4 π² *13 / 0.62*9.8

T =9.19 s

genius_generous answered 2 years ago

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