A cylindrical space station with diameter 150/rmm simulates gravity by rotating

Question

A cylindrical space station with diameter 150/rmm simulates gravity by rotating about its central axis. Part A If an astronaut on the outer edge is to experience a centripetal acceleration g /2 , what should be the station's angular velocity? Express your answer to two significant figures and include the appropriate units. Part B What tangential acceleration is required to bring the station to that rate, starting from rest, with a constant acceleration for 61 days? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Part A)

Apply the formula ac = 2r

9.8/2 = 2(75)

= .26 rad/s

Part B)

Starting from rest to get to of .256 in 61 days, we can apply

f = o + t

t = 61 days which converts to 5270400 sec

.256 = 0 + ()(5270400)

= 4.86 X 10-8 rad/s2

Finally, apply at = r

at = (75)(4.86 X 10-8)

at = 3.6 X 10-6 m/s2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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