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Different situation now. You re out in space, on a rotating wheel-shaped space station of radius...

Different situation now. You re out in space, on a rotating wheel-shaped space station of radius 571 m. You feel planted firmly on the floor , due to artificial gravity. The gravity you experience is Earth-normal, that is, g = 9.81 m/s^2. How fast is the space station rotating in order to produce this much artificial gravity? Express your answer in revolutions per minute (rpm).

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Answer #1

Gravitational acceleration on Earth = g = 9.81 m/s2

Radius of the wheel shaped space station = R = 571 m

Angular speed the space station rotates at = (rad/s)

Centripetal acceleration felt by you = a = g = 9.81 m/s2

= 0.1311 rad/s

Converting from rad/s to revolutions per minute, (1 revolution = 2 radians, 1 minute = 60 sec)

= 1.25 rpm

Angular speed the space station is rotating at = 1.25 rpm

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