A rotating space station creates artificial earth-like gravity. If the size of t

Question

A rotating space station creates artificial earth-like gravity. If the size of the space station is enlarged, such that its radius increases by a factor of 4, what must happen to the speed of the station floor, so that the artificial earth-like gravity is maintained? O The speed of the station floor should decrease by a factor of 2. O The speed of the station floor should increase by a factor of 2. O The speed of the station floor should remain constant. O The speed of the station floor should decrease by a factor of 4. O The speed of the station floor should increase by a factor of 4.

Explanation / Answer

The angualr speed of station floor is

w = sqrt a/R

since a = g

w = sqrt g/R

when radius increased by factor of four

w' = sqrt g/ 4R

= w/2

hence, speed of the station floor should decreases by factor of 2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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