A projected space station consists of a circular tube that is set rotating about

Question

A projected space station consists of a circular tube that is set rotating about its center (like a tubular bicycle tire) as shown in figure below. The circle formed by the tube has a diameter of about D = 1.30 km. What must be the rotation speed (in revolutions per day) if an effect equal to gravity at the surface of the Earth (1g) is to be felt? Do not enter units.

A projected space station consists of a circular tube that is set rotating about its center (like a tubular bicycle tire) as shown in figure below. The circle formed by the tube has a diameter of about D = 1.30 km. What must be the rotation speed (in revolutions per day) if an effect equal to gravity at the surface of the Earth (1g) is to be felt? Do not enter units.

Explanation / Answer

normal reaction the space station should equal gravity on earth 

----> N = m*g
N = m*r*2

 m*g = m*r*2

  = (r/g)  = 11.51164 rev/sec

 /day ---> 86400 sec

11*86400 sec 994606 rev/day

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