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Chapter 8: Q.11 (page 199)

It is proposed that future space stations create an artificial gravity by rotating. Suppose a space station is constructed as a 1000-mdiameter cylinder that rotates about its axis. The inside surface is the deck of the space station. What rotation period will provide 鈥渘ormal鈥� gravity?

Short Answer

Expert verified

The rotation period is45sec.

Step by step solution

01

Given information

Diameter of the cylinder =1000m

radius of the cylinder r=500m

The inside surface is the deck of the space station.

Acceleration due to gravityg=9.81m/s2

02

Explanation

The angular velocity of the space station is given by

蝇=gr=9.81500=0.14rad/sec

The rotation period is given by

T=2蟺蝇=2蟺0.14=44.88sec.

Conclusion: The rotation speed isrole="math" localid="1649872552433" 44.88sec.鈮�45sec.

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