A cylindrically shaped space station is rotating about the axis of the cylinder

Question

A cylindrically shaped space station is rotating about the axis of the cylinder to create artificial gravity. The radius of the cylinder is 83.8 m. The moment of inertia of the station without people is 3.09 109 kg · m2. Suppose that 545 people, with an average mass of 74.9 kg each, live on this station. As they move radially from the outer surface of the cylinder toward the axis, the angular speed of the station changes. What is the maximum possible percentage change in the station's angular speed due to the radial movement of the people?

Explanation / Answer

The conservation of angular momentum will govern this solution

L = I

So

Iii = Iff

f/i = Ii/If

f/i = (3.09 X 109 + (545)(74.9)(83.8)2)/3.09 X 109

f/i = 1.093

By percentage, that is 109.3% greater   or an increase of 9.3%

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.