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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 “normal” 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

ω=gr=9.81500=0.14rad/sec

The rotation period is given by

T=2πω=2π0.14=44.88sec.

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

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