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It is proposed that future space stations create an artificial gravity by rotating. Suppose a space station in constructed as a 1170.0 m diameter cylinder that rotates about its axis. The inside surface is the deck of the space station. What rotation period (in s) will provide "normal" gravitational acceleration of 9.80 m/s2 at deck level?

please help.

  • university physics -

    hlep

  • university physics -

    Acceleration(g) = (Velocity^2)/(Radius) Velocity^2 = (Radius(g))
    Velocity= sqrt(Radius (g))
    Diameter= 2(radius)
    radius = Diameter/2
    Velocity = sqrt(1170.0 m)/2(9.80m/s^2)
    Velocity = 75.7165 m/s ~ [75.7m/s] 3sig

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