Asked by Alexander

It has been suggested that rotating cylinders about 10 mi long and 5.6 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration?

Answers

Answered by Gil
take 5.6/2=2.8
convert 2.8miles into meters=4506
9.8/4506= .002174878
now squaroot that and you wil getthe answer which is
(.0466)
Answered by Your Teacher
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Answered by Tutor Allan
r=5.6/2 = 2.8mi
convert from mi to m use
imi= 1609.34m
2.8mi? =1609.34*2.8=4506.152m
g=v^2/r , g=9.8, making v subject we get
v^2= 9.8*4506.152
v=210.14m/s
but w=v/r
w= 210.14/4506.152=0.047rad/s
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