Laboratory Instruments

Engineers are trying to create artificial “gravity” in a ring-shaped space station by spinning it like a centrifuge. The ring is 109 m in radius. How quickly must the space station turn in order to give the astronauts inside it apparent weights equal to their real weights at the earth’s surface? Consider g = 9.81 m/s2.

2 Comments zu “Physics Problem, Time And Gravity?”

1. Algol
   2-9-2010 @ 07:10

   mv² / r = mg
   v = √gr
   = √9.81m/s² x 109m
   = 32.7m/s

   
   

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2. (Ω)Mistress Bekki
   2-9-2010 @ 09:27

   Centrifugal force is equal to gravitational acceleration:
   a = g = omega^2 r
   Solve for the angular speed:
   omega = sqrt (g/r)
   If you want the linear speed:
   v = omega r = sqrt (gr)

   
   

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