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mandy9008
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find ω given centripetal acceleration
It has been suggested that rotating cylinders about 9.0 mi long and 6.4 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 on Earth?
ac = Rω2
ac=9.8 m/s2
R= (1/2 (9mi) + 1/2 (6.4mi)) = 7.7mi
9.8 m/s2= 7.7mi ω2
ω = 1.13 rad/s
Homework Statement
It has been suggested that rotating cylinders about 9.0 mi long and 6.4 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 on Earth?
Homework Equations
ac = Rω2
The Attempt at a Solution
ac=9.8 m/s2
R= (1/2 (9mi) + 1/2 (6.4mi)) = 7.7mi
9.8 m/s2= 7.7mi ω2
ω = 1.13 rad/s
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